Answer:
Explanation:
"Qc" stands for "Reaction Quotient Concentration" and represents the ratio of the concentrations of products raised to their stoichiometric coefficients, divided by the ratio of the concentrations of reactants raised to their stoichiometric coefficients at a given point in a chemical reaction.
Qc is used in comparison to "Kc," the "Equilibrium Constant Concentration," to determine the direction in which a chemical reaction at equilibrium will shift. If Qc is less than Kc, the reaction will shift in the direction that increases the concentration of products, so as to reach a new state of equilibrium with Kc. Conversely, if Qc is greater than Kc, the reaction will shift in the direction that increases the concentration of reactants, so as to reach a new state of equilibrium with Kc.
In other words, if Qc is equal to Kc, the reaction is at its state of equilibrium, and any changes to the concentrations of reactants or products will cause the reaction to shift until a new state of equilibrium is reached with the updated Kc value. If Qc is not equal to Kc, the reaction will shift until it reaches a state of equilibrium with the updated Kc value.
The following are the conjugate bases of some strong and weak acids. Which of these would you expect to act as a base if placed in aqueous solution? (1) HCOO (ii) HCO3 (iii) HSO4 (iv) H2PO4 (v) Br" (vi) F a.(i),(ii),(iv), and (vi) onlyb. (i),(ii),(iii),(iv), and (vi) onlyc. (iii) onlyd. (i),(ii),(iii),(iv) onlye. all of them
Due to the strength of their conjugate acids, I would anticipate that I (ii), (iv), and (vi) would behave as bases if put in an aqueous solution. As both alternatives (a) and (d) contain the conjugate bases of weak acids, they are both accurate.
Strong acids' conjugate bases, such as (v) Br- and (vi) F-, cannot take any more protons since they are already fully deprotonated and cannot function as bases in aqueous solutions. Strong acids have conjugate bases that may receive protons and function as bases in aqueous solutions. These bases include I HCOO-, (ii) HCO3-, (iii) HSO4-, and (iv) H2PO4-. As both alternatives (a) and (d) contain the conjugate bases of weak acids, they are both accurate. Because (v) and (vi), which are conjugate bases of strong acids and cannot function as bases, are included in Option (b), it is wrong. Option (c) is untrue because it only accounts for the conjugate bases of strong acids and ignores those of weak acids.
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C5H12(l)+8O2(g)→5CO2(g)+6H2O(g) express answers as intergers
The balanced equation for the reaction of pentane (C5H12) with oxygen gas (O2) to produce carbon dioxide (CO2) and water (H2O) is: C5H12(l) + 8O2(g) → 5CO2(g) + 6H2O(g).
What is reaction?Reaction is the process of responding to a stimulus or situation. It can be physical, emotional, mental, or social. Reactions can vary depending on the individual and the context, and they can be positive or negative. Examples of reactions include feeling anger, joy, sadness, or fear when faced with a situation.
The ratio of reactants to products in this reaction is 1:5:6:8. This means that for every 1 molecule of pentane (C5H12), 5 molecules of carbon dioxide (CO2), 6 molecules of water (H2O), and 8 molecules of oxygen gas (O2) are required. Therefore, the answer to the question is 8, as 8 molecules of oxygen gas (O2) are needed to react with 1 molecule of pentane (C5H12).
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How many moles of Al2S3 are
equivalent to 605 g Al2S3?
(Al2S3 = 150.17 g/mol)
? 1 mol Al₂S3
The number of moles of Al2S3 that would be equivalent to 605 g of the compound will be 4.03 moles.
Number of moles calculationThe number of moles in a particular mass of a compound is the ratio of the mass of the compound and the molar mass of the compound.
Mole = mass/molar mass
Molar mass of Al2S3 = 150.17
Mole of 605 g Al2S3 = 605/150.17
= 4.03 moles
In other words, the number of moles of 605 g Al2S3 is 4.03 moles.
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What is the concentration of compound A if the absorbance of a solution containing compound A is 0.445? The molar absorptivity of compound A is 13.7 (M-1cm-1) and the light path of a cuvette is 1.00 cm.
The concentration of compound A is 0.0325 M.
What is Absorbance?In physics and chemistry, "absorbance" (also known as "optical density") is a measure of how much light is absorbed by a material as it passes through it. It is expressed as a logarithmic ratio of the intensity of the incident light (I0) to the intensity of the transmitted light (I), typically using the formula A = -log(I/I0). The absorbance of a material depends on its composition and the wavelength of the incident light. Absorbance is commonly used to quantify the concentration of a substance in a solution, using a spectrophotometer or other optical instrument that can measure the amount of light absorbed by the solution at a specific wavelength. The Beer-Lambert law states that there is a linear relationship between absorbance and concentration, making it a useful tool in analytical chemistry and biochemistry.
According to question:
The Beer-Lambert law relates the absorbance of a solution to the concentration of a compound and the path length of the cuvette:
A = εlc
where A is the absorbance, ε is the molar absorptivity, l is the path length, and c is the concentration.
To solve for the concentration, we can rearrange the equation:
c = A / (εl)
Substituting the given values:
c = 0.445 / (13.7 M^-1cm^-1 x 1.00 cm)
c = 0.0325 M
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Write the balanced molecular equation, including phases, for the reaction of aqueous sodium phosphate with aqueous
iron(II) nitrate.
molecular equation:
The balanced molecular equation, including phases, for the reaction of aqueous sodium phosphate with aqueous iron(II) nitrate is given below:
molecular equation: Na₃PO₄ (aq) + 2 Fe(NO₃)₂ (aq) → 2 Fe₃(PO₄)₂ (s) + 6 NaNO₃ (aq)
What is a molecular equation?Molecular equations are a type of chemical equation that shows the chemical formulas of reactants and products without indicating the ionic behavior of the species. In other words, molecular equations do not show the dissociation of ionic compounds into their constituent ions in aqueous solutions. This type of equation is commonly used to represent reactions in solid-state or gas-phase.
The molecular equation for the reaction of aqueous sodium phosphate with aqueous iron(II) nitrate is:
Na₃PO₄ (aq) + 2 Fe(NO₃)₂ (aq) → 2 Fe₃(PO₄)₂ (s) + 6 NaNO₃ (aq)Learn more about molecular equations at: https://brainly.com/question/15960587
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Imagine the following reaction of acetic acid with water is at equilibrium at 25 °C. (This reaction is
exothermic at this temperature.) It is then disturbed in one of the ways described below and allowed
to return to equilibrium. Select ALL correct answers for each of the multiple-choice questions below.
Some questions have more than one correct answer - check ALL of the correct answers.
3+2⇌3+ +3−
A.When strong acid is added,the concentration of hydronium ion immediately increases and after equilibrium ,the concentration of acetic acid will be higher than before disturbance. Therefore, option A and D are correct.
What is an acid ?A chemical that gives off hydrogen ions in water and forms salts by combining with certain metals are called as an acid.
B) The concentration of hydronium ion immediately decreases and after equilibrium ,the concentration of acetic acid will be lower than before the disturbance.
As when strong base is added ,the hydronium ions from acetic acid reacts with base and therefore, their concentration decreases ,also after equilibrium ,the concentration of acetic acid will be lower than before the disturbance by following Le Chatelier's principle
C)When the temperature is decreased the reaction will move in forward direction as it is an exothermic reaction and so after equilibrium ,the concentration of acetic acid will be lower than before.
D) Sodium acetate is a basic salt and when it is added to the solution,it will dissociate to formed acetate ions and sodium ions and by the common ion effect ,After equilibrium ,the concentration of acetic acid will be higher than before the disturbance.
Thus, When strong acid is added, it has a greater tendency to dissociate, and thus the concentration of hydronium ion increases immediately according to Le Chatelier's principle.
Also, as the concentration of strong acid increases after equilibrium, the concentration of acetic acid increases.
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How many moles are contained in 0.159 grams of aluminum sulfate, Al2(SO4)3?
0.159 grams of aluminum sulfate contains 0.000465 moles.
How to determine the number of moles of aluminum sulfate (Al2(SO4)3) in 0.159 gramsFirst we need to first calculate the molar mass of Al2(SO4)3.
Molar mass of Al2(SO4)3 = (2 x atomic mass of Al) + (3 x atomic mass of S) + (12 x atomic mass of O)
= (2 x 26.98 g/mol) + (3 x 32.06 g/mol) + (12 x 16.00 g/mol)
= 342.15 g/mol
Now, we can use the following formula to calculate the number of moles:
number of moles = mass / molar mass
Plugging in the values, we get:
number of moles = 0.159 g / 342.15 g/mol
number of moles = 0.000465 moles
Therefore, 0.159 grams of aluminum sulfate contains 0.000465 moles.
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If the earth is 1.50X108 Km from the sun, what is the distance
in Gm?
Answer:
1.50 Gm
Explanation:
The distance from the Earth to the Sun can be converted from kilometers to gigameters (Gm) by dividing by 10^9:
1.50 x 10^8 km / 10^9 = 1.50 Gm
So, the distance from the Earth to the Sun is 1.50 Gm.
ALLEN
Pls answer asap 100 points
For the oxidation of glucose (C6H12O6 + 6O2→6H2O + 6CO2), how many liters of carbon dioxide gas(CO2) will be produced when 950 g of glucose(C6H12O6) is oxidized completely?
Molar Masses:
C6H12O6 = 180.2 g/mol
Question 3 options:
709g
571g
960g
480g
Which coefficients correctly balance the equation below
KOH+BaCI- -> KCI + Ba(OH)2
2,2,2,1
1,2,1,2
2,1,2,1
2,2,2,1
The coefficients that correctly balance the equation below would be 2,1,2,1. The third option.
Balancing chemical equationsA balanced chemical equation will have an equal number of different atoms in the reactants and in the products, irrespective of whether there is a change of form or otherwise.
Thus, the balanced equation of the reaction whose equation is shown would be: [tex]2KOH+BaCI_2- - > 2KCI + Ba(OH)_2[/tex]
In other words, the coefficients of the correctly balanced equation are 2,1,2,1.
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Would aluminum be a positive or a negative charge if it just lost one valance electron?
An aluminium atom will be positive if it just lost one valence electron.
What is an ion?Ion is an atom or group of atoms bearing an electrical charge, such as the sodium and chlorine atoms in a salt solution.
An ion is formed when an atom loses or gains electrons. Ions are formed by the addition of electrons to, or the removal of electrons from, neutral atoms or molecules or other ions.
According to this question, an aluminium atom is neutrally charged i.e. 0. However, when it loses an electron, it becomes positively charged.
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10. What is lost in an atom as a result of radioactive decay? What equation relates this loss to
energy produced? (1 pt)
Mass that is number of protons and neutrons is lost in an atom as a result of radioactive decay.
What is an atom?
An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.
The protons are positively charged and neutrons are neutral and hence the nucleus is positively charged. The electrons which revolve around the nucleus are negatively charged and hence the atom as a whole is neutral and stable due to presence of oppositely charged particles.
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Which answer choice best describes the law of conservation of energy?
A. Energy can be created but not destroyed.
B. Energy can be both created and destroyed.
C. Energy cannot be created nor destroyed it just changes form.
D. Energy cannot be created, but it can be destroyed.
How many water molecules are in a block of ice containing 2.00 mol
of water ( H2O)?
According to the question the answer is 1.204 x 10^24 molecules of water.
What is molecules?Molecules are the smallest particles of matter that can exist in a stable form. They are made of two or more atoms that are held together by chemical bonds. Molecules are the basis of all living things, and they are the building blocks of all matter. They come in a variety of shapes and sizes, and they can be composed of atoms of different elements. Molecules can be found in the air, in liquids, and in solids. They can be found in both organic and inorganic compounds, and they are essential components of life. Molecules play an important role in many chemical and biological processes, and they can be used to create new materials and products.
The number of water molecules in a block of ice containing 2.00 mol of water (H2O) can be calculated using the Avogadro's number, which is 6.02 x 10^23 molecules per mol. Therefore, the answer is 1.204 x 10^24 molecules of water.
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For the reaction below, how many moles of aluminum are produced from 14 moles of
lithium?
3Li (s) + AI(NO3)3 (aq) --> 3LINO3(aq) + Al(s)
Answer:
4.67 moles of aluminum
Explanation:
For the reaction:
3Li (s) + AI(NO3)3 (aq) --> 3LiNO3(aq) + Al(s)
The number of moles of aluminum produced from 14 moles of lithium can be determined by using the mole ratio between aluminum and lithium in the balanced chemical equation. The mole ratio between aluminum and lithium in the reaction is 1:3, which means that for every 3 moles of lithium, 1 mole of aluminum is produced. Therefore, the number of moles of aluminum produced from 14 moles of lithium can be calculated as follows:
14 moles of Li / 3 moles of Li per mole of Al = 4.67 moles of Al
So, 14 moles of lithium will produce 4.67 moles of aluminum.
5. There are two types of bond cleavage: homolytic and heterolytic. In homolytic cleavage,
the two electrons in the bond are divided equally between the products. In heterolytic
cleavage, one atom gets both of the shared electrons. Show how the electrons in the
C-X bond in the compound L below are distributed in the bond cleavage to form:
a) Free radical
b) Carbocation
c) Carbanion
[6 marks]
C-X bond in the compound L below are distributed in the bond cleavage to form free radical.
How do bonds break?
When a bond is broken through heterolytic cleavage, also known as heterolysis, one of the fragments still has the shared pair of electrons from the original connection. Because it has both bonding electrons, one fragment acquires an electron while the other loses one. Another name for this procedure is ionic fission.
Any molecular species that has an unpaired electron in an atomic orbital and is capable of independent existence is referred to as a free radical. Most radicals exhibit certain similar characteristics when an unpaired electron is present. Many radicals are highly reactive and inherently unstable.
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How many moles in 2.6 grams of Argon?
0.065 moles are there in 2.6 grams of Argon.
What is moles?
Moles, in chemistry, are a measure of the amount of a substance. One mole is equal to 6.022 x 10^23 particles or molecules of that substance. This number is known as Avogadro's number. Moles are used to measure the amount of a substance because it is easier to work with than counting individual particles or molecules. For example, it is easier to work with the number of moles of a substance than to count the individual atoms, molecules, or ions.
No. of moles =given mass/molar mass
Or,
n=w/m ______ (1)
So in this question we are given the value of w= 2.6 g
Now, the molar mass of argon is 39.948 g/mol
m=39.948 g/mol
So, substituting these values in equation (1) we get,
n= 2.6/ 39.948 = 0.065 mol
Therefore, 0.065 moles are in 2.6 grams of Argon.
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Calculate the quantity of O₂ would be required to generate 13.0 mol of NO₂ in the reaction below assuming the reaction has only 67.1% yield.
2 NO (g) + O₂ (g) → 2 NO₂ (g)
Solving the Question
We're given:
[tex]2 NO_{(g)} + O_{2(g)}\rightarrow 2 NO_{2 (g)}[/tex][tex]n_{NO_2}=13.0\hspace{4}mol[/tex][tex]\%\hspace{4}yield=67.1\%[/tex]First, let's calculate the theoretical yield of NO2.
⇒ [tex]\%\hspace{4}yield=\dfrac{actual\hspace{4}yield}{theoretical\hspace{4}yield}[/tex]
The yield of NO2 we must produce is 13.0 mol.
⇒ [tex]\%\hspace{4}yield=\dfrac{13.0}{theoretical\hspace{4}yield}[/tex]
We're also given that the percentage yield of this reaction is 67.1%.
⇒ [tex]0.671=\dfrac{13.0}{theoretical\hspace{4}yield}[/tex]
⇒ [tex]theoretical\hspace{4}yield=\dfrac{13.0}{0.671}\\\\theoretical\hspace{4}yield=19.3740685544\hspace{4}mol[/tex]
First, construct a mole ratio between O2 and NO2.
From the balanced chemical equation, we know that 1 mol of O2 can produce 2 mol of NO2:
⇒ [tex]\dfrac{n_{O_2}}{1}=\dfrac{n_{NO_2}}{2}[/tex]
We're given that we must theoretically produce 19.3740685544 mol of NO2:
⇒ [tex]\dfrac{n_{O_2}}{1}=\dfrac{19.3740685544}{2}[/tex]
⇒ [tex]n_{O_2}=9.6870342772\hspace{4}mol[/tex]
Round to significant figures (3):
⇒ [tex]n_{O_2}=9.69\hspace{4}mol[/tex]
Answer[tex]n_{O_2}=9.69\hspace{4}mol[/tex]
The percent by mass of cobalt(II) in COSO3 is _____%.
please help.
The percentage by mass of cobalt in cobalt sulfate is 42.39%.
How to calculate percent by mass?The mass percentage of a solution equals the mass of an element in one mole of the compound divided by the molar mass of the compound, multiplied by 100.
Percent by mass = (atomic mass of element/atomic mass of compound) × 100
According to this question, cobalt sulfate is given in this question. The atomic mass of cobalt is 58.93g/mol while the atomic mass of cobalt sulfate is 138.996g/mol.
% by mass = (58.93 ÷ 138.996) × 100
% by mass = 42.39%
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The density of muscle tissue is approximately 1.055 g/mL. How many grams of muscle tissue would be contained in 24 mL of muscle tissue?
Aluminum bromide and chlorine gas react to form aluminum chloride and bromine gas.
The balanced equation is : Aluminum bromide and chlorine gas react to form aluminum chloride and bromine gas.
AlBr₃ + 3Cl ---> AlCl₃ + 3Br
The Aluminum bromide and chlorine gas will react to form the aluminum chloride and the bromine gas
AlBr₃ + Cl ---> AlCl₃ + Br
reactant product
Al 1 1
Br 3 1
Cl 1 3
The chemical equation is said to be the balanced equation if the atoms of the reactants side is equals to the atoms of the product side. Multiplying the 3 in Cl and the 3 in the Br. The equation is as follows :
AlBr₃ + 3Cl ---> AlCl₃ + 3Br
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This question is incomplete, the complete question is :
Balance the chemical equation : Aluminum bromide and chlorine gas react to form aluminum chloride and bromine gas.
state and explain Five causes of accidents in science laboratory
Explanation:
Chemical hazards: Handling toxic substances can cause irritation and carcinogenicity.
Biological hazards: Biological hazards include hazards from working with small animals, working with bloodborne pathogens and working with biological agents, such as viruses and bacteria.
Physical hazards: Physical hazards include exposure to noise, poor posture and the explosibility and flammability of substances.
Safety hazards: Safety hazards include unbalanced centrifuges, danger when handling hot sterilized items and electrical hazards, such as shock, explosions, blasts and electrocutions.
Allergy hazards: A common allergy hazard in the laboratory setting is a latex allergy, as many of the materials used in a laboratory setting are latex.
Dangers in the laboratory setting can also come from unsafe practices, including:
Working alone in the laboratory
Neglecting to wear a lab coat
Lack of safety training
what is the main function of the chloroplasts in a plant cell
Answer:
The main function of chloroplast in a plant is to prepare food for the plant, by the process of photosynthetic in the plant cell
Chloroplast contains a green pigment
Explanation:
Answer:
The main function of chloroplasts in a plant cell is to perform photosynthesis. Chloroplasts contain chlorophyll, which absorbs light energy and converts it into chemical energy through a process called the light-dependent reactions. The chemical energy is then used to produce glucose and other sugars from carbon dioxide and water in a process called the light-independent reactions or the Calvin cycle. This process provides the plant with its energy source, as well as produces oxygen as a by-product.
Explanation:
What is the mass of 4.00cm ^ 3 of sodium with density = 0.97g / cm?
Answer:
he given density is 0.97 g/cm³, and the volume is 4.00 cm³.
To find the mass, we can use the formula:mass = density x volume
Substituting the given values,
we get:mass = 0.97 g/cm³ x 4.00 cm³mass = 3.88 g
Therefore, the mass of 4.00 cm³ of sodium with a density of 0.97 g/cm³ is 3.88 g.
Explanation:
See question in the picture below , will give brainliest for correct answer
The balanced equation for the chemical reaction is:
NH₄NO₃ -> N₂O + 2H₂O
How do I balance the chemical equation?The balancing chemical equation is done by doing a head count of the different element present on both sides of the equation to ensure the are the equal.
This however is in line with the law of conservation of matter which states that matter can neither be created nor destroyed during a chemical reaction but can be transferred from one form to another.
Now, we shall the balance equation as shown below:
NH₄NO₃ -> N₂O + H₂O
There are 4 atoms of H on the left side and 2 on the right side. It can be balanecd by writing 2 before H₂O as shown below:
NH₄NO₃ -> N₂O + 2H₂O
Now the equationis balanced.
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Which statement best describes the difference between a physical change and a chemical change? Responses A chemical change results in a new element being formed, and a physical change results in a new compound being formed. A chemical change results in a new element being formed, and a physical change results in a new compound being formed. A physical change produces a new element, and a chemical change results in a bond breaking between atoms. A physical change produces a new element, and a chemical change results in a bond breaking between atoms. A chemical change does not result in a new substance being formed, whereas a physical change does. A chemical change does not result in a new substance being formed, whereas a physical change does. A physical change is a change from one state of matter to another; a chemical change results in a new substance formed.
A physical change is a change to a substance that does not result in the formation of a new substance.
What is formation ?Formation is the process of creating something new. It can refer to the creation of an organization, structure, or system. It is often used in business, when a company is established, or when a new product or service is created. It can also refer to the development of an idea or concept, such as a strategic plan or marketing campaign. Formation is an essential part of any entrepreneurial venture, and involves the development of a plan for a business, including the selection of personnel, market research, and the development of a financial structure. Formation is also used to refer to the development of a team or organization, and the process of creating and maintaining a cohesive and effective team of individuals.
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Which of the following conditions indicate an acidic solution at 25 °C? Select all that apply.
pOH = 9.66
pH = 4.25
[H+] > 1.0 x 10-7 M
[H+] > [OH-]
[OH-] > [H+]
[H+] > [OH-] of the following conditions indicate an acidic solution at 25 °C among the rest options.
Option C is correct.
What exactly is acidic solution?A solution with a pH of less than 7 is said to be acidic. A solution's acidity or basicity is measured on the pH scale, which ranges from 0 to 14. Solutions with a pH of 7 or higher are basic or alkaline, while solutions with a pH lower than 7 are acidic.
The presence of more hydrogen ions (H+) than hydroxide ions (OH-) in an acidic solution is a sign of its acidity. The degree to which an acid contributes hydrogen ions to a solution determines its strength. Acids are substances that do this.
Lemon juice, vinegar, and stomach acid are all common examples of solutions that are acidic. Acids can corrode metals and other materials and have a sour taste.
At 25°C, the following conditions indicate an acidic solution:
The condition pOH = 9.66 indicates a basic solution, and [OH-] > [H+] also indicates a basic solution.
pH = 4.25 [H+] > 1.0 x 10⁻⁷ M [H+] > [OH-]
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The molar absorptivity of a compound at 500 nm wavelength is 252 M*1cm 1. Suppose one prepares a solution by dissolving 0.00140
moles of a solute in enough water to make a 500.0 mL solution. What would be the absorbance in a 4.00 mm pathlength cell?
Answer:
A = 252 * 0.04 * 0.0028 = 0.275584
Therefore, the absorbance of the solution in a 4.00 mm pathlength cell is approximately 0.28.
Explanation:
Answer:
0.28
Explanation:
The formula to calculate the absorbance of a solution is given by:
A = ε * l * c
Where:
A = absorbance
ε = molar absorptivity (L/mol cm)
l = pathlength (cm)
c = concentration (mol/L)
The molar absorptivity of the solute at 500 nm is 252 M^-1cm^-1, and the concentration of the solute in the solution is 0.00140 moles in 500.0 mL, so c = 0.00140 / 0.500 = 0.0028 M.
A = ε * l * c = 252 M^-1 cm^-1 * 4.00 mm * 0.00280 M = 2.16
So, the absorbance in a 4.00 mm pathlength cell would be 2.16.
Consider the chemical equation in equilibrium.
2H₂(g) + O₂(g) → 2H₂O(g)
What will happen if the pressure of the system is increased?
If the system's pressure is increased, the equilibrium will shift in the direction that decreases the total number of gas molecules in the system.
How does changing pressure affect the equilibrium?The effect of changing pressure on an equilibrium depends on the reaction's stoichiometry and the total number of moles of gas present in the system. For example, if the reaction produced more gas molecules on the product side, an increase in pressure would shift the equilibrium to the left, in the direction of the reactants.
What is stoichiometry?Stoichiometry is a branch of chemistry that deals with calculating the quantities of reactants and products involved in a chemical reaction. In any chemical reaction, the reactants combine to form products according to a specific chemical equation that shows the reaction's stoichiometry.
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The half-life of Tl
-201 is 3.0 days. How many days will it take until the activity of the Tl
-201 in Simones body is one-fourth of the initial activity?
It will take approximately 4.39 days until the activity of the Tl-201 in Simone's body is one-fourth of the initial activity.
How does Half-Life Reaction work?The time it takes for half of a substance's radioactive nuclei to decay is known as its half-life. It is a radioactive substance is characteristic property that is used to determine a material's rate of decay. A decay curve that plots the number of radioactive atoms remaining over time can be used to determine a substance's half-life. Radiometric dating, nuclear medicine, and radiation safety all make use of half-life.
The decay of Tl-201 follows first-order kinetics. The equation for the decay of a radioactive substance is given by:
N = N0 × [tex]1/2^{t/t/2}[/tex]
where N is the amount of the substance at time t, N0 is the initial amount of the substance, t1/2 is the half-life of the substance, and t is the time that has elapsed.
We are given that the half-life of Tl-201 is 3.0 days. This means that if we start with an initial activity of A0, the activity at any time t is given by:
A = A0 * [tex]1/2^{t/3}[/tex]
We want to know how many days it will take until the activity of the Tl-201 in Simone's body is one-fourth of the initial activity. Let's call this time t₁ :
A = A 0/4
= A0 × (1/2)[tex]^{t^{1/3} }[/tex]
Dividing both sides by A0 and taking the logarithm of both sides, we get:
ln(1/4)
= - [tex]t^{1/3}[/tex] × log(2)
Solving for t₁, we get:
t₁ = (3/log(2)) × log(4)
= 4.39 days
Therefore, it will take approximately 4.39 days until the activity of the Tl-201 in Simone's body is one-fourth of the initial activity.
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