A sample of radioactive material has a half-life of 10 days. If 160 grams of the material remain after 20 days, what was the starting mass of the sample?

Answers

Answer 1

The starting mass of the sample was 640 grams.

To find the starting mass of the sample

Let's call the starting mass of the sample "x".

After the first 10-day period, the amount remaining will be half of x:

Amount after 10 days = x/2

The amount left over after the second 10-day period (for a total of 20 days) will be equal to half of the amount left over after the first 10-day period:

Amount after 20 days = (x/2)/2 = x/4

We can draw up an equation since we know from the problem that 160 grams of the substance are still there after 20 days.

x/4 = 160

Multiplying both sides by 4, we get :

x = 640

Therefore, the starting mass of the sample was 640 grams.

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Related Questions

what is the molality of a 6.35 m aqueous methanol (ch3oh) solution with a density of 0.953 g/ml?

Answers

The molarity of a 6.35 m aqueous methanol solution with a density of 0.953 g/ml is 8.47 m .

Molality= moles of solute (CH₃OH)/kg of solvent (water)

Molarity=moles of solute (CH₃OH)/Liters of solution

Assume that you have 1 L of solution:

                  6.35 M = x/1L

                  x= 6.35 mol of solute (CH₃OH)

1 L = 1000 mL

                0.953 g/mL= x/1000mL

                        x= 953 grams of solution

CH₃OH = 32.042 g/mol

6.35 mol of CH₃OH x (32.042 g of CH₃OH/1 mol of CH₃OH)

                    = 203.47 g of CH₃OH

Now, determine the kilogram mass of the solvent (water):

953 g of solution (CH₃OH + water) - 203.47 g of CH₃OH equals 749.53 g of solvent.

749.53 g of solvent per 1000 = 0.7495 kg of solvent

Now, determine the solution's molecular weight as follows:

Molality = 6.35 mol of CH₃OH (solute)/.7495 kg of water (dissolvable)

                                     = 8.47 m

For what reason is it called molarity?

According to the definition, a solution's molarity is the total number of moles of a solute in a given volume. Here, "M" denotes molarity, "n" denotes the number of moles of solute in the solution, and "V" denotes the container's volume of solution.

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What volume of carbon dioxide measured at STP will be formed by the reaction of 1.47 mol of oxygen with 0.900 mol of ethyl alcohol, CH3CH2OH?
A)
40.3 mL
B)
22.0 L
C)
32.9 L
D)
49.4 L
E)
0.980 L

Answers

The volume of carbon dioxide measured at STP that will be formed by the reaction is 40.3 L. The answer is A).

The balanced chemical equation for the reaction is:

C2H5OH + 3O2 -> 2CO2 + 3H2O

According to the equation, 1 mol of C2H5OH produces 2 mol of CO2.

Therefore, 0.900 mol of C2H5OH will produce 2 x 0.900 = 1.80 mol of CO2.

According to the ideal gas law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

At STP (standard temperature and pressure), P = 1 atm and T = 273 K.

Using the molar volume of a gas at STP (22.4 L/mol), the volume of 1.80 mol of CO2 is:

V = nRT/P = (1.80 mol)(0.08206 Latm/(molK))(273 K)/(1 atm) = 40.3 L

Therefore, the volume of carbon dioxide measured at STP that will be formed by the reaction is 40.3 L. The answer is A).

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t/f The pressure a gas would exert under ideal conditions is always greater than the observed pressure of a real gas.

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The given statement " The pressure a gas would exert under ideal conditions is always greater than the observed pressure of a real gas." is True. The ideal gas law, PV=nRT, describes the behavior of a hypothetical gas in which particles have zero volume and do not interact with each other.

Under these ideal conditions, the pressure of the gas would be greater than that of a real gas because there would be no intermolecular forces causing a decrease in the observed pressure. In reality, gas particles do have volume and interact with each other through attractive and repulsive forces, causing the observed pressure to be less than the pressure predicted by the ideal gas law.

The deviation from ideal behavior becomes more significant at high pressures and low temperatures, where the particles are closer together and more likely to interact. Thus, the pressure a gas would exert under ideal conditions is always greater than the observed pressure of a real gas.

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a sixth-grade teacher is preparing a solution of diluted acid for her students to use in the lab. how should she prepare it?

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A diluted acid solution for a sixth-grade lab, the teacher should start by determining the concentration of the acid she wants to dilute and the concentration she needs for the lab.

Next, she should calculate the amount of acid needed to achieve the desired concentration, based on the volume of solution required. Once she has measured the acid, she should slowly add it to the appropriate volume of water, stirring continuously to ensure it is fully mixed. It is important to note that acid should always be added to water and not the other way around, as this can cause a dangerous reaction. The teacher should also ensure proper safety precautions are taken during the preparation and use of the solution, such as wearing gloves and eye protection.


A sixth-grade teacher can prepare a diluted acid solution by following these steps: First, she should gather the necessary materials, including the concentrated acid, distilled water, a graduated cylinder, and a beaker. Next, while wearing proper safety equipment (gloves, goggles, and a lab coat), she should measure a specific volume of distilled water in the graduated cylinder and pour it into the beaker. Then, carefully measure the required amount of concentrated acid using the graduated cylinder. Slowly add the concentrated acid to the water in the beaker while stirring gently. By mixing the acid and water, she creates a diluted acid solution safe for student use in the lab.

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In a certain electroplating process gold is deposited by using a current of 14.0 A for 19
minutes. A gold ion, Au+, has a mass of approximately 3.3 × 10-22 g. How many grams of
gold are deposited by this process?
A) 33 g
B) 16 g
C) 22 g
D) 28 g
E) 97 g

Answers

In an electroplating process gold is deposited by using a current of 14.0 A for 19 minutes. Then, approximately 33.8 grams of gold are deposited by this process. Option A is correct.

To calculate the mass of gold deposited, we need to use the formula:

mass of gold = (current × time × atomic weight of gold) / (number of electrons × Faraday's constant)

We know the current is 14.0 A, the time is 19 minutes, and the atomic weight of gold is 197 g/mol. We also know that one gold ion, Au+, carries one electron. Finally, Faraday's constant is 96,485 C/mol.

Converting the time to seconds;

19 minutes × 60 seconds/minute = 1140 seconds

Putting all the values into the formula;

mass of gold = (14.0 A × 1140 s × 197 g/mol) / (1 electron × 96,485 C/mol)

mass of gold = 33.8 g

Therefore, approximately 33.8 grams of gold are deposited by this process.

Hence, A. is the correct option.

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iron pyrite (fool's gold) is iron(ii) sulfide. what is its formula?

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The formula of iron pyrite, also known as fool's gold, is FeS2. This compound is made up of one iron atom (Fe) and two sulfur atoms (S), which combine in a 1:2 ratio to form iron(II) sulfide.

Iron pyrite, also known as fool's gold, is a compound with the chemical formula FeS2. It is a common mineral that has a metallic luster and a pale brass-yellow hue. The compound is made up of one iron atom and two sulfur atoms, which combine in a 1:2 ratio to form the compound. Iron pyrite is commonly found in sedimentary rocks, metamorphic rocks, and hydrothermal veins.

Iron pyrite is an important source of sulfur and is used in the production of sulfuric acid, which is a key industrial chemical. It is also used as a source of iron in the production of iron and steel. However, despite its name, iron pyrite is not a good source of gold. Although it has a similar color and metallic luster to gold, it is much less dense and does not contain any gold.

Iron pyrite can also be used in various applications such as semiconductors, batteries, and solar cells due to its unique electronic properties. However, its high toxicity and potential environmental impacts limit its use in some applications. Overall, iron pyrite is a valuable compound that has numerous industrial and scientific applications.

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what would you expect to see if your product was pure? if it was impure in diels-alder reaction on the ir spectrum

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If the product of a Diels-Alder reaction is pure, then the IR spectrum should show sharp peaks at the following frequencies

If the product is impure, then the IR spectrum may show additional peaks due to impurities. For example, if the product contains water, then the IR spectrum may show a peak at 1600 cm-1 due to the O-H stretching vibration.

The IR spectrum of a Diels-Alder product can be used to confirm the structure of the product. The sharp peaks in the IR spectrum are due to the vibrations of the functional groups in the product. The frequencies of these vibrations are characteristic of the functional groups, so they can be used to identify the functional groups in the product.

If the product is impure, then the IR spectrum may show additional peaks due to the impurities. These peaks may be due to the vibrations of the functional groups in the impurities. For example, if the product contains water, then the IR spectrum may show a peak at 1600 cm-1 due to the O-H stretching vibration.

The presence of impurities in the IR spectrum can be used to determine the purity of the product. The more impurities that are present, the more peaks will be seen in the IR spectrum. The absence of any peaks due to impurities indicates that the product is pure.

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Why does a bunsen burner produce a non luminous flame when air hole is fully open

Answers

A Bunsen burner produces a non-luminous flame when the air hole is fully open because it allows for complete combustion of the gas being used.

The flame produced by the Bunsen burner is the result of a chemical reaction between gas and oxygen. When the air hole is fully open, a sufficient amount of oxygen is able to enter the burner tube and mix with the gas before being ignited by the flame at the top of the tube. This ensures that the gas is completely burned, resulting in a blue, non-luminous flame.

In contrast, if the air hole is partially closed, the amount of oxygen entering the tube is restricted. This leads to incomplete combustion of the gas, resulting in a yellow, luminous flame due to the presence of unburned hydrocarbons. This can be useful for some applications, such as heating glassware or performing certain chemical reactions, but it is not ideal for applications that require a clean, controlled flame, such as sterilizing instruments or conducting precise chemical analyses.

Therefore, the ability to adjust the air hole on a Bunsen burner is essential for controlling the type and intensity of flame produced, and ensuring optimal conditions for the intended use of the burner.

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from the structures above, select the compound(s) with the following properties:

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The enthalpy change (ΔH) for the reaction IF5 (g) → IF3 (g) + F2 (g) is +355 kJ.

To find the enthalpy change (ΔH) for the reaction IF5 (g) → IF3 (g) + F2 (g), we can use Hess's law, which states that the overall enthalpy change of a reaction is independent of the pathway taken to get from reactants to products.

We can use the given equations to write the target reaction as a combination of the two reactions as follows:

IF5 (g) → IF (g) + 2F2 (g) (reverse the second equation and divide by 2)

IF (g) + F2 (g) → IF3 (g) (first equation)

Now, we can cancel out IF (g) from both equations to get the target equation:

IF5 (g) → IF (g) + 2F2 (g)

-745 kJ -390 kJ

ΔH for the reaction = ΔH(products) - ΔH(reactants)

= (-390 kJ) - (-745 kJ)

= 355 kJ

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if you were using the defence mechanism of reaction formation, what would you expect yourself to do after getting into an argument with a friend (despite viewing yourself as a very kind, caring person)?

Answers

If you were using the defense mechanism of reaction formation after getting into an argument with a friend, despite viewing yourself as a very kind and caring person, you would likely respond by going out of your way to be overly nice and supportive towards that friend. This behavior would be an attempt to counteract the negative feelings and behaviors from the argument, aligning with your self-perception as a kind, caring person.

If you were using the defence mechanism of reaction formation, after getting into an argument with a friend despite viewing yourself as a very kind, caring person, you would expect yourself to act in the opposite way of how you truly feel. This means that you may show excessive concern and caring towards your friend, even though you are angry or upset with them. You may go out of your way to do nice things for them or try to make them feel better, as a way of masking your true emotions and protecting your self-image as a caring person.
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Interpret each chemical equation in terms of interacting particles and in terms of interacting numbers of moles of reactants and products. 2KClO3 (s) → 2KCl(s) + 3O2 (g) 4NH3 (g) + 6NO(g) → 5N2 (g) + 6H2O(g) 2Zn(s) + O2 (g) → 2ZnO(s)

Answers

Answer:

Sure. Here are the interpretations of the chemical equations you provided:

2KClO3 (s) → 2KCl(s) + 3O2 (g)

In terms of interacting particles:

Two potassium chlorate (KClO3) molecules decompose to form two potassium chloride (KCl) molecules and three oxygen (O2) molecules.

In terms of interacting numbers of moles:

Two moles of KClO3 react to form two moles of KCl and three moles of O2.

4NH3 (g) + 6NO(g) → 5N2 (g) + 6H2O(g)

In terms of interacting particles:

Four ammonia (NH3) molecules react with six nitric oxide (NO) molecules to form five nitrogen (N2) molecules and six water (H2O) molecules.

In terms of interacting numbers of moles:

Four moles of NH3 react with six moles of NO to form five moles of N2 and six moles of H2O.

2Zn(s) + O2 (g) → 2ZnO(s)

In terms of interacting particles:

Two zinc (Zn) atoms react with one oxygen (O2) molecule to form two zinc oxide (ZnO) molecules.

In terms of interacting numbers of moles:

Two moles of Zn react with one mole of O2 to form two moles of ZnO.

I hope this helps! Let me know if you have any other questions.

Explanation:

a solid that is soluble in polar solvents, brittle, and has very high melting points best describes what category of solids?

Answers

Ions with opposing charges combine to form ionic compounds, which are held together by a powerful electrostatic force of attraction. They are solids that are hard for this reason. So the given solids represents the ionic solids.

Cations and anions are kept together by electrostatic forces to form ionic solids. Ionic solids typically have high melting temperatures, are rigid, and are brittle due to the strength of these interactions.

Basically, ionic solids are solids that are joined by strong ionic bonds and have ion lattices made up of oppositely charged ions, such as positively charged cations and negatively charged anions. These substances are almost electrically insulating and typically have high melting points.

So the ionic solids are soluble in polar solvents, brittle and have melting points.

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for a liquid solute dissolving in a liquid solvent, the solvent molecules must be attracted to the solute molecules enough to pull the solute molecules closet to one another. group of answer choices true false

Answers

True. For a liquid solute to dissolve in a liquid solvent, there must be an attraction between the solvent molecules and the solute molecules.

This attraction must be strong enough to overcome the attractive forces holding the solute molecules together. The solvent molecules surround the solute molecules, forming a shell that isolates the solute molecules and keeps them dispersed in the solvent. This process is known as solvation or dissolution. The strength of the attraction between the solute and solvent molecules determines how easily the solute dissolves in the solvent. Therefore, the solvent molecules must be attracted to the solute molecules to pull them closer together and allow for solvation to occur.

The statement you provided is false. When a liquid solute dissolves in a liquid solvent, the solvent molecules must be attracted to the solute molecules enough to separate the solute molecules from each other, not pull them closer together. This attraction between the solvent and solute molecules enables the solute to dissolve and become evenly distributed throughout the solvent, creating a homogenous solution.

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Apart from the solids, aluminium oxide, iron oxide and silicon dioxide, name one other substance that would be in the 'red mud'

Answers

One other substance that would be in the 'red mud' is sodium hydroxide (NaOH). Sodium hydroxide is commonly used in the Bayer process, which is used to extract alumina from bauxite ore. When bauxite ore is processed using the Bayer process, sodium hydroxide is used to dissolve the alumina and create a solution of sodium aluminate. This solution is then treated to precipitate the alumina, leaving behind a residue known as 'red mud'.

If you had 5 liters of air and it contained 21% oxygen, how many liters of
oxygen would you have? (show work)

Answers

Answer:

1.05 liters

Explanation:

Just multiply:

5 * 21%

Simplify:

5 * 0.21

Multiply it out:

1.05 liters

I hope this helped!

~~~Harsha~~~

The answer is 1.05 multiply 5 and 21% and then simplify

what is the half-life of bismuth-214 if 47.2 minutes are required for the activity of a sample of bismuth-214 to fall to 19.0 percent of its original value?

Answers

The half-life of a radioactive element is the amount of time it takes for half of the atoms in a sample to decay. The half-life of bismuth-214 is approximately 60 minutes.


In this case, we can use the given information to calculate the half-life of bismuth-214. If 47.2 minutes are required for the activity to fall to 19.0 percent of its original value, then we can set up an equation:
0.19 = (1/2)^(t/60)
where t is the time in minutes. Solving for t, we get:
t = 60*log(0.19)/log(1/2)
t ≈ 60 minutes
Therefore, the half-life of bismuth-214 is approximately 60 minutes. This means that after 60 minutes, half of the original sample will have decayed, and after another 60 minutes, half of the remaining sample will have decayed, and so on.

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calculate the ph of a saturated solution of strychnine (16 mg/100 ml).

Answers

Answer: The ph of a saturated solution of strychnine (16 mg/100 ml)

is 9.47.

Explanation: What is ph?

ph is the calculation of all the negative logs of the concentration of the Hydrogen ions.

FORMULA : -LOG [H] +

To calculate the ph of a saturated solution of strychnine (16 mg/100 ml)

Firstly, find pOH using the concentration OH- ions: pOH = log(2.93Z × 10^(-5)) ≈ 4.53

Then, you can use the relationship between the pH and pOH: pH + pOH = 14 pH = 14 - 4.53 ≈ 9.47  

So, therefore The ph of a saturated solution of strychnine (16 mg/100 ml) is 9.47.

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Soap has an ionic and a polar end. It works well to remove oil by
1)surrounding the oil and water with the polar end.
2)surrounding the oil with the nonpolar end, and the water interacts with the polar end.
3)surrounding the oil with the polar end, and the water interacts with the nonpolar end.
4)surrounding the oil and water with the nonpolar end.

Answers

Soap has both ionic and polar ends, which allows it to effectively remove oil. It works by surrounding the oil with its nonpolar end, and the water interacts with the polar end.

Soap molecules have both a polar and nonpolar end, making them amphipathic. The nonpolar end is hydrophobic and interacts with nonpolar substances such as oil, while the polar end is hydrophilic and interacts with water.

When soap is added to a mixture of oil and water, the nonpolar end of the soap molecules surround the oil droplets, while the polar end interacts with the water.

This creates small clusters of oil and soap molecules called micelles, which are suspended in the water.

The micelles allow the oil droplets to be more easily removed from the surface being cleaned, as they are surrounded by the hydrophilic polar ends of the soap molecules and can be washed away with water.

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n a healthy respiratory system, if the alveolar PO2 is 85 mmHg, what will arterial PO2 be?
a.85 mmHg
b.65 mmHg
c.45 mmHg
d.15 mmHg

Answers

In a healthy respiratory system, if the alveolar PO2 is 85 mmHg, the arterial PO2 will also be approximately 85 mmHg. Therefore, the correct answer is: a. 85 mmHg

The respiratory system is the biological system in charge of facilitating gas exchange, i.e., the uptake of oxygen (O2) and the release of carbon dioxide (CO2) from the body. It comprises several organs, including the lungs, trachea, bronchi, bronchioles, and alveoli, as well as muscles involved in breathing, such as the diaphragm and intercostal muscles.

During inhalation, air enters the nasal cavity, passes through the pharynx, and then through the larynx, where the vocal cords are located. From the larynx, air travels down the trachea and enters the lungs through the bronchi. The bronchi divide into smaller bronchioles, which eventually lead to the alveoli, where gas exchange takes place.

In the alveoli, oxygen from the inhaled air diffuses into the bloodstream, where it binds to hemoglobin in red blood cells and is transported to the body's tissues. At the same time, carbon dioxide produced by cellular respiration in the body tissues diffuses into the bloodstream and is carried back to the lungs, where it is released into the alveoli and exhaled during exhalation.

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order the elements s, cl, and f in terms of increasing atomic radii.

Answers

The order of the elements in terms of increasing atomic radii is as follows:

F < Cl < S. This is because as you move down a group (vertical column) on the periodic table, atomic radius increases. Additionally, as you move from right to left across a period (horizontal row), atomic radius decreases. Therefore, fluorine (F) has the smallest atomic radius, followed by chlorine (Cl), and then sulfur (S) which has the largest atomic radius out of the three elements.


The elements S (sulfur), Cl (chlorine), and F (fluorine) can be ordered in terms of increasing atomic radii as follows: F < Cl < S. This means that fluorine has the smallest atomic radius, followed by chlorine, and sulfur has the largest atomic radius among these three elements.

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the molality of an aqueous sodium nitrate solution is 3.98 m. what is the mole fraction of nano3? the molar mass of nano3 is 85.00 g/mol; the molar mass of water is 18.02 g/mol.

Answers

the mole fraction of NaNO3 in the solution is 0.067.By using formula of mass when molality, molar mass are given and mole= mass/molar mass

To find the mole fraction of NaNO3 in the solution, we need to first calculate the moles of NaNO3 and water in the solution.
Given that the molality of the solution is 3.98 m, we know that there are 3.98 moles of NaNO3 per kilogram of water in the solution.
Let's assume that we have 1 kg of water in the solution. Therefore, the mass of NaNO3 in the solution would be:
mass of NaNO3 = molality x molar mass of water x mass of water
mass of NaNO3 = 3.98 mol/kg x 85.00 g/mol x 1000 g
mass of NaNO3 = 338.3 g
Now, we can calculate the moles of NaNO3 in the solution:
moles of NaNO3 = mass of NaNO3 / molar mass of NaNO3
moles of NaNO3 = 338.3 g / 85.00 g/mol
moles of NaNO3 = 3.98 mol
So, the mole fraction of NaNO3 in the solution would be:
mole fraction of NaNO3 = moles of NaNO3 / (moles of NaNO3 + moles of water)
mole fraction of NaNO3 = 3.98 mol / (3.98 mol + 55.5 mol)
mole fraction of NaNO3 = 0.067
Therefore, the mole fraction of NaNO3 in the solution is 0.067.

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Sulfur trioxide gas combined with water to form a single product. SO3 + H2O > ? based on the law of conservation of mass, which option is the product of the reaction?

Answers

Antoine Lavoisier discovered in 1789 that mass is neither created nor destroyed in chemical reactions, which led to the formulation of the Law of Conservation of Mass.

Thus, That is to say, the mass of any one element at the start of a reaction will be equal to that element's mass at the conclusion of the reaction.

The overall mass will remain constant over time in any closed system if we take into account all reactants and products in a chemical reaction. Lavoisier's discovery transformed science and served as the cornerstone for contemporary chemistry.

Because naturally occurring elements are extremely stable under the circumstances present on the Earth's surface, the Law of Conservation of Mass is valid.

Thus, Antoine Lavoisier discovered in 1789 that mass is neither created nor destroyed in chemical reactions, which led to the formulation of the Law of Conservation of Mass.

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Which of the following alkyl halides could be successfully used to form a Grignard reagent? 1. OHCH2CH2CH2CH2Br 2. H2NCH2CH2CH2Br 3. BrCH2CH2CH2COOH 4. CH3N(CH3)CH2CH2Br

Answers

Out of the given alkyl halides, the fourth option, CH3N(CH3)CH2CH2Br, could be successfully used to form a Grignard reagent. This is because Grignard reagents are formed by the reaction of an alkyl halide with magnesium metal in dry ether.

The resulting product is an organomagnesium compound, which can be further used in organic synthesis. In option 1, the hydroxyl group would interfere with the reaction, while in option 2, the amino group would also hinder the reaction. Option 3 has a carboxylic acid group, which is not an alkyl halide. Therefore, option 4 is the only suitable alkyl halide for forming a Grignard reagent.


A Grignard reagent is formed by reacting an alkyl halide with magnesium in an ether solvent. To be successful, the alkyl halide must not contain any acidic protons (H) that can react with the Grignard reagent. In the given options, 1. OHCH2CH2CH2CH2Br and 3. BrCH2CH2CH2COOH have acidic protons in their alcohol and carboxylic acid groups, respectively, and thus cannot form a Grignard reagent. 2. H2NCH2CH2CH2Br has an acidic proton in the amine group and is also unsuitable. The only suitable option is 4. CH3N(CH3)CH2CH2Br, as it lacks any acidic protons and can successfully form a Grignard reagent.

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the formal charge on the oxygen on the right side in so42- is , where the lewis structure of the ion is:

Answers

The formal charge on the oxygen atom on the right side in the sulfate ion (SO42-) is -1.

To calculate the formal charge, we can use the following formula:
Formal Charge = (Valence Electrons) - (Non-bonding Electrons) - (1/2 x Bonding Electrons)
Here's a step-by-step explanation to find the formal charge of the oxygen atom in SO42-:
1. Identify the valence electrons of oxygen: Oxygen has 6 valence electrons.
2. Determine the non-bonding electrons: In the Lewis structure of SO42-, each oxygen atom is bonded to the central sulfur atom, with one oxygen having a double bond and the other three having single bonds. The oxygen atom on the right side has a single bond, so it has 6 non-bonding electrons (2 lone pairs).

3. Calculate the bonding electrons: Since the oxygen atom on the right side has a single bond with the sulfur atom, there are 2 bonding electrons.
4. Apply the formula: Formal Charge = (6) - (6) - (1/2 x 2) = 6 - 6 - 1 = -1
Therefore, the formal charge on the oxygen atom on the right side in the sulfate ion (SO42-) is -1.

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how many moles of calcium metal react to yield 0.500 mol of hydrogen gas?

Answers

0.500 moles of calcium metal are needed to produce 0.500 mol of hydrogen gas.

We need to first look at the balanced chemical equation for the reaction between calcium metal and hydrochloric acid, which is:
Ca (s) + 2 HCl (aq) → CaCl2 (aq) + H2 (g)
From this equation, we can see that 1 mole of calcium metal reacts with 2 moles of hydrochloric acid to produce 1 mole of hydrogen gas. Therefore, if we want to know how many moles of calcium metal are needed to produce 0.500 mol of hydrogen gas, we need to use stoichiometry.
Using the ratio of moles from the balanced chemical equation, we can set up a proportion:
1 mol Ca / 1 mol H2 = x mol Ca / 0.500 mol H2
Solving for x, we get:
x = 0.500 mol Ca
Therefore, 0.500 moles of calcium metal are needed to produce 0.500 mol of hydrogen gas.
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how much ammonia can be produced from 28 kg of nitrogen and 2 kg of hydrogen, assuming the reaction yield is 90%?

Answers

Approximately 198.5 kg of ammonia can be produced from 28 kg of nitrogen and 2 kg of hydrogen, assuming the reaction yield is 90%.


The balanced chemical equation for the production of ammonia from nitrogen and hydrogen is:
N₂ + 3H₂ → 2NH₃
According to the equation, for every 1 mole of nitrogen (28 g), we need 3 moles of hydrogen (6 g) to produce 2 moles of ammonia (34 g). Therefore, to produce 198.5 kg of ammonia, we need 582.4 kg of hydrogen and 8147.2 kg of nitrogen.
Assuming a reaction yield of 90%, we can calculate the actual amount of ammonia produced as:
Actual yield = Theoretical yield x Reaction yield
Actual yield = 198.5 kg x 0.9
Actual yield = 178.7 kg
Therefore, approximately 178.7 kg of ammonia can be produced from 28 kg of nitrogen and 2 kg of hydrogen, assuming the reaction yield is 90%.

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The maximum amount of ammonia that can be produced from 28 kg of nitrogen (N₂) and 2 kg of hydrogen (H₂), assuming a reaction yield of 90%, is 7.7 kg.

What is the balanced chemical equation for the reaction?

The balanced chemical equation for the production of ammonia (NH₃) from nitrogen and hydrogen is: N₂ + 3H₂ → 2NH₃

First, we calculate the moles of nitrogen and hydrogen given their masses: Moles of nitrogen = mass of nitrogen / molar mass of nitrogen

Moles of nitrogen = 28 kg / (28 g/mol) = 1000 moles

Moles of hydrogen = mass of hydrogen / molar mass of hydrogen

Moles of hydrogen = 2 kg / (2 g/mol) = 1000 moles

Maximum moles of ammonia = 0.5 * 1000 moles = 500 moles

The mass of ammonia produced can be calculated by multiplying the moles of ammonia by its molar mass. Assuming a 90% reaction yield, the actual mass of ammonia produced will be 90% of the maximum amount calculated.

Therefore, approximately 7.7 kg of ammonia can be produced from 28 kg of nitrogen and 2 kg of hydrogen with a 90% yield.

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a very tentative explanation of observations of some regularity of nature is a(n)

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A very tentative explanation of observations of some regularity of nature is a hypothesis. A hypothesis is a proposed explanation or a preliminary assumption based on limited evidence, which requires further testing and validation to confirm its validity.

When scientists observe regular patterns or phenomena in nature, they often form a hypothesis as a possible explanation. A hypothesis is an educated guess or a conjecture that attempts to explain the observed regularity. It is a starting point for scientific investigation and serves as a foundation for further experimentation and data collection. A hypothesis should be based on existing knowledge and observations, but it is not considered a definitive answer. Instead, it offers a tentative explanation that needs to be rigorously tested through experiments, observations, and analysis. The process of testing a hypothesis involves designing experiments to gather data and evaluating whether the collected evidence supports or refutes the proposed explanation. Through this iterative process, scientists refine and modify their hypotheses until they can establish a more robust and supported theory that explains the observed regularity in nature.

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why is a chain reaction more likely to occur in a big piece of uranium than in a small piece?

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In a chain reaction, the nucleus of an atom splits into two smaller nuclei, releasing energy. In order for this reaction to occur, the conditions must be just right. One of the most important factors is that the nuclei must be close together, so that they can collide and undergo the reaction.

In a large piece of uranium, the nuclei are packed together more tightly than in a small piece, because there is more of them. This means that there are more opportunities for the nuclei to collide and undergo a chain reaction. As a result, a chain reaction is more likely to occur in a large piece of uranium than in a small piece.

It's worth noting that a chain reaction can also be controlled and sustained in a nuclear reactor, where the fuel is arranged in a controlled manner and the reaction is kept under control by various safety systems.  

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The air pressure in the inner tube of a tire on a typical racing bike is held at a pressure of about 112 psi. Convert this pressure to atm.
A)
0.147 atm
B)
7.62 atm
C)
0.112 atm
D)
0.131 atm
E)
112 atm

Answers

The air pressure of 112 psi in the inner tube of a racing bike tire is approximately 7.62 atm by using the conversion formula: 1 atm = 14.696 psi

To convert the pressure from psi (pounds per square inch) to atm (atmospheres), we can use the following conversion formula:
1 atm = 14.696 psi
To convert 112 psi to atm, we need to divide the given pressure (112 psi) by the conversion factor (14.696 psi/atm):
112 psi / 14.696 psi/atm = 7.62 atm (approximately)
So, the air pressure in the inner tube of a tire on a typical racing bike when held at a pressure of about 112 psi is approximately 7.62 atm. Therefore, the correct option is B) 7.62 atm.

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the rate constant of a dimerization reaction is 0.014 l/moles. what will be the concentration of its reactant in molar after 1.3 hours if the initial concentration is 0.36 m? report a numerical value with 3 decimal places, without units.

Answers

The concentration of reactant after 1.3 hours is 0.353 m when the rate constant of a dimerization reaction is 0.014 l/moles.

The dimerization reaction follows a second-order rate law, so the rate equation can be written as k[A]^2, where k is the rate constant and [A] is the reactant concentration. Using the given rate constant of 0.014 l/moles and initial concentration of 0.36 m, we can use the integrated rate law to find the concentration of reactant after 1.3 hours.

ln([A]t/[A]0) = -kt

ln([A]t/0.36) = -(0.014 l/moles)(1.3 hours)

ln([A]t/0.36) = -0.0182

[A]t = 0.36e^(-0.0182)

[A]t = 0.353 moles/l

Rounding to 3 decimal places, the concentration of reactant after 1.3 hours is 0.353 m.

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