How many moles of gas are contained in 22.41 liters at 101.325 kPa and 0ᴼC? (Note: use Ideal Gas Law, PV = nRT) a 2.5 mole b 1.5 mole c 1.0 mole d 2.0 mole

Answers

Answer 1

Answer:

Therefore, 1.00 mole of the gas is present in the container.

Explanation:

The following data were obtained from the question:

Volume (V) = 22.41L

Temperature (T) = 273K

Pressure (P) = 101.325 kPa

Gas constant (R) = 8.31 L.kPa/mol.K.

Number of mole (n) =...?

The number of mole of the gas in the container can obtained by applying the ideal gas equation as illustrated below:

PV = nRT

Divide both side by RT

n = PV /RT

n =101.325  x 22.41 / 8.31 x 273

n = 1.00 mole.

Therefore, 1.00 mole of the gas is present in the container.

Answer 2

Answer:

1 mole of gas is contained in 22.41 liters at 101.325 kPa and 0ᴼC

Explanation:

Ideal gases are a simplification of real gases that is done to study them more easily. It is considered to be formed by point particles, do not interact with each other and move randomly. It is also considered that the molecules of an ideal gas, in themselves, do not occupy any volume.

The pressure, P, the temperature, T, and the volume, V, of an ideal gas, are related by a simple formula called the ideal gas law:  

P*V = n*R*T

where P is the gas pressure, V is the volume that occupies, T is its temperature, R is the ideal gas constant, and n is the number of moles of the gas.

In this case:

P= 101.325 kPa= 1 atmV= 22.41 Ln=?R= 0.082 [tex]\frac{atm*L}{mol*K}[/tex]T= 0°C= 273 °K

Replacing:

1 atm*22.41 L=n* 0.082 [tex]\frac{atm*L}{mol*K}[/tex]*273 K

Solving:

[tex]n=\frac{1 atm*22.41 L}{0.082\frac{atm*L}{mol*K} *273 K}[/tex]

n=1  mole

1 mole of gas is contained in 22.41 liters at 101.325 kPa and 0ᴼC


Related Questions

Which is one way that waves erode coastlines?

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Answer:

Four main processes erode the destructive waves; hydraulic action, compression, abrasion and attrition. Hydraulic Action is the sheer force of water crashing off the coastline causing the material to dislodge and be carried away by the sea.

Answer:

a

Explanation:

Select True or False: Nitric acid is formed by the gas-phase hydrolysis of N2O5. The energy profile curve for the reaction N2O5 H2O → 2HNO3 is shown here. The reaction is endothermic and the activation energy of the reverse reaction is larger than for the forward reaction.

Answers

Answer:

True

Explanation:

Because Nitric acid is formed by the gas-phase hydrolysis of N2O5. The energy profile curve for the reaction N2O5 H2O → 2HNO3 is shown here. The reaction is endothermic and the activation energy of the reverse reaction is larger than for the forward reaction.

QUESTION 20 Which of the following is a producer? oak tree raccoon cockroach human

Answers

Answer:

may be the first one is a producer

The oak tree is the producer because it is a plant.It gets energy/food from the sun.

I hope this helps

How did Robert Whitaker change dassification?

Answers

Answer:

created an organizational hierarchy

Explanation:

If the temperature outside is 297 what is this temperature in degrees celsius

Answers

Answer:

147.222

Explanation:

It's a simple conversion.

calculate the ph and poh of a 0.0032 M solution of nitric acid NHO3

Answers

Answer:

HNO3 ->NO3²- + H+

Concentration of H+ ions= 0.0032M

pH = - log[ H+]

= - log (0.0032)

= 2.49

pH + pOH = 14

pOH = 14 - pH

= 14 - 2.49

= 11.51

pH = 2.49 and pOH = 11.51

Hope this helps.

What is the temperture at which all molecular movements stop called

Answers

Answer:

Absolute Zero

Explanation:

at 0 Kelvin, nothing can move and entropy reaches 0

Answer:

absolute zero

Explanation:

A solution is made by mixing 114.g of benzene C6H6 and 83.g of acetyl bromide CH3COBr. Calculate the mole fraction of benzene in this solution. Round your answer to 3 significant digits.

Answers

A solution is made by mixing 114.g of benzene C6H6 and 83.g of acetyl bromide CH3COBr, the mole fraction of benzene in this solution is 1.45mol.

What is molar mass ?

The term molar mass is defined as the compound is often calculated by adding the quality atomic masses in g/mol of the constituent atoms.

Molar mass of CH3COBr,

Molar Mass = 2 × MM(C) + 3 × MM(H) + 1 × MM(O) + 1 × MM(Br)

= 122.944 g/mol

Molar mass of C6H6,

MM = 6 × MM(C) + 6 × MM(H)

= 6 × 12.01 + 6 × 1.008

= 78.108 g/mol

n(CH3COBr) = mass/molar mass

= 83 /122.944

= 0.675

n(C6H6) = mass/molar mass

= 114 / 78.108

= 1.45

n(CH3COBr),n1 = 0. 675mol

n(C6H6),n2 = 1. 45mol

Thus, the mole fraction of benzene in this solution is 1.45mol.

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This type of substance has a pH of 7. It will not change the color of litmus.

1. Acid
2. Base
3. Neutral


This question was just so some of y'all can get more points lol.​

Answers

They do be needing more points tho lol

The ____ contains the highest concentration of ozone. (troposphere (exosphere ( stratosphere ( mesosphere

Answers

Answer:

the answer is stratosphere.

about 90% of ozone is found in the stratosphere.

Twenty liters of NO gas react with excess oxygen. How many liters of NO2 gas are produced if the NO gas reacts completely?

Answers

Answer:

2O L

Explanation:

The balanced chemical equation is 2NO+O  

2

​  

→2NO  

2

​  

 

Thus, 2 moles of NO will produce 2 moles of NO  

2

​  

.

Also, the volume is directly proportional to the number of moles.

Therefore, 20 L of NO will produce 20×  

2

2

​  

=20 L of NO  

2

​  

Why you cannot add 0.3 moles of calcium fluoride directly to 1L of water to make a 0.3 M
solution ?
need help ASAP!​

Answers

Answer:

Because it's not soluble in water, need to be heated acidic solution

Explanation:

Calcium Fluoride Formula: CaF2  Comprises of Ca2+ and F−

H2O = Water H+ O2- OH-

Insoluble in water

In order to dissolve a salt, you have to break apart the ions and hydrate them via a solvent.

Need to read

HSAB concept( Pearson acid-base concept) is an initialism for "hard and soft (Lewis) acids and bases"

So F- is a Halogen which is a Hard Base

And OH- is a Hard base as well

And H- is a soft base

So soft acids react best with soft bases and hard acids react best with hard bases.

Bases don't react with other bases.

How do forces between particles in solids compare to forces in the other
states of matter?
O A. The forces in solids are stronger than forces in liquids and gases.
O B. The forces in solids are weaker than forces in liquids and gases.
O C. The forces in solids are stronger than forces in liquids but weaker
than forces in gases.
D. The forces in solids are weaker than forces in liquids but stronger
than forces in gases.

Answers

Answer:

the answer is A

Explanation:

Forces are the intermolecular interaction between the matter. Forces present in a solid are strongest. Thus, option A is correct.

What are the phases of matter?

The matter is any substance that occupies a volume. Matter can be a solid, gas, or liquid. The solid phase particles are tightly closed to each other making the force strong.

The particles of liquids that are not too compact are a little free and in gases, the particles are very free, which makes the bonding and the force the weakest.

Therefore, option A. the solids have the strongest intermolecular bonding.

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Why does an ultraviolet light cause paint to fade

Answers

Answer:

There are light absorbing color bodies called chromophores that are present in dyes. Ultraviolet rays are one of the causes of fading because they can break down chemical bonds and fade the color in objects.



Strontium, a group 2 element with an electron configuration of 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^10 4p^6 5s^2 , will form a _____ ion in a chemical bond.


+1

+2

-1

-2

Answers

Answer:

Strontium, a group 2 element with an electron configuration of 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d¹⁰ 4p⁶ 5s² , will form a +2 ion in a chemical bond.

Explanation:

An ionic bond is produced between metallic and non-metallic atoms, where electrons are completely transferred from one atom to another. During this process, one atom loses electrons and another one gains them, forming ions. Usually, the metal gives up its electrons forming a cation to the nonmetal element, which forms an anion.

So an ion is an atom or group of atoms that have an electric charge. A cation is an ion that has a positive charge.

The alkali metals in the earth (Elements IIA) lose two electrons to form a 2+ cation. Strontium is an alkali metal that loses the two electrons belonging to 5s², forming the +2 ion.

Answer:

+2

Explanation:

The forces between water molecules are stronger
than the forces between ethanol molecules. Which
liquid would probably be most difficult for an insect
to walk on? Explain your answer.

Answers

Answer:

An insect would have an easier time walking on the surface of water than on the surface of ethanol.

Water's stronger intermolecular forces lead to higher surface tension.

Higher surface tension allows water to support the insect.

Answer:

An insect would have an easier time walking on the surface of water than on the surface of ethanol.

Water's stronger intermolecular forces lead to higher surface tension.

Higher surface tension allows water to support the insect.

Explanation:

A compound contains 34.5% calcium, 24.1% silicon and 41.4% oxygen by mass. What is its empirical formula?

Answers

[tex]empirical \: formula \\ = CaSiO3 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]

Determine the boiling point of a 3.70 m solution of phenol in benzene. Benzene has a boiling point of 80.1°C and a boiling point elevation constant of 2.53°C•kg/mol.

Answers

Answer: The boiling point of a 3.70 m solution of phenol in benzene is [tex]89.5^0C[/tex]

Explanation:

Elevation in boiling point:

[tex]\Delta T_b=i\times k_b\times m[/tex]

where,

[tex]\Delta T_b[/tex] = change in boiling point

i= vant hoff factor = 1 (for benzene which is a non electrolyte )

[tex]k_b[/tex] = boiling point constant = [tex]2.53^0C/kgmol[/tex]

m = molality = 3.70

[tex]T_{solution}-T_{solvent}=i\times k_b\times m[/tex]

[tex]T_{solution}-80.1^0C=1\times 2.53\times 3.70[/tex]

[tex]T_{solution}=89.5^0C[/tex]

Thus  the boiling point of a 3.70 m solution of phenol in benzene is [tex]89.5^0C[/tex]

Answer:

First Question:

C. ΔTb = Kbm

Second Question:

C. 9.36° C

Third Question:

89.5

Explanation:

Got it right.

Please can someone help I will mark brainiest!

Answers

Answer:

2Cl- ⇒ Cl ↓2+ 2e

Explanation: sorry if this is not what you were looking for.

which substance will form a solution when mixed with liquid benzene (c6h6)

Answers

Answer: [tex]I_{2} (l)[/tex]

Explanation: Because C 6 H 6 is nonpolar substance and I 2 is also nonpolar compound

According to the concept of solubility,iodine  will form a solution when mixed with liquid benzene  as both are non-polar substances.

What is solubility?

Solubility is defined as the ability of a substance which is basically solute to form a solution with another substance. There is an extent to which a substance is soluble in a particular solvent. This is generally measured as the concentration of a solute present in a saturated solution.

The solubility mainly depends on the composition of solute and solvent ,its pH and presence of other dissolved substance. It is also dependent on temperature and pressure which is maintained.Concept of solubility is not valid for chemical reactions which are irreversible. The dependency of solubility on various factors is due to interactions between the particles, molecule or ions.

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And ironic bonds what happens to electrons? No

Answers

Answer:

metals donate electrons to nonsmetals

1. 7.85 g of sodium metal is added to 200 mL of 0.0450 M HNO3

a) Predict the mass of the precipitate
b) Predict the amount of excess reagent left over
c) Volume of gaseous product at STP conditions

Answers

Answer:

a)0.765 g

b)7.613 g

c)0.20 L

Explanation:

Consider the reaction involved;

Na(s) + HNO3(aq) ----> NaNO3(s) + H2(g)

Note that, if a hot, saturated aqueous solution of sodium nitrate was allowed to cool, solid sodium nitrate would crystallise out of the solution and this would also be classed as a precipitate. This is the case here.

Number of moles of sodium reacted= mass of sodium reacted/ molar mass of sodium

Number of moles of sodium= 7.85g/23gmol-1

Number of moles of sodium= 0.34 moles of sodium

Number of moles of acid reacted= concentration of acid × volume of acid

Number of moles of acid= 0.0450 × 200/1000

Number of moles of acid= 9×10^-3 moles

Therefore, HNO3 is the limiting reactant.

1 mole of HNO3 yield 1 mole of NaNO3

9×10^-3 moles of HNO3 yield 9×10^-3 moles of NaNO3

Hence mass of NaNO3= number of moles × molar mass

Mass of NaNO3= 9.0×10^-3 moles × 84.9947 g/mol

Mass of NaNO3= 0.765 g of NaNO3

b)

Since

1 mole of sodium metal reacts with 1 mole of HNO3

9×10^-3 moles of sodium reacts with 9×10^-3 moles of HNO3

Therefore amount of unreacted sodium metal = 0.34 moles - 9×10^-3 moles = 0.331 moles

Mass of unreacted sodium metal = 0.331 moles × 23 gmol-1= 7.613 g

c)

If 1 mole of HNO3 yields 1 mole of hydrogen gas

9×10^-3 moles of HNO3 yields 9×10^-3 moles of hydrogen gas.

1 mole of hydrogen gas occupies 22.4 L

9×10^-3 moles of hydrogen gas will occupy 9×10^-3 moles × 22.4/1 = 0.20 L

Builders and dentists must store plaster of Paris,
CaSO4 x 1/2 H2O, in airtight containers to prevent it from
absorbing water vapor from the air and changing to
gypsum, CaSO4 x 2H2O How many liters of water
vapor evolve when 2.00 kg of gypsum are heated at
110°C to produce plaster of Paris? At 110°C, the
density of water vapor is 0.574 g/L.

Answers

In order to determine the amount of water that evaporates from we need to convert the mass into volume.

What temperate is required to produce the POP ?

The builders and the density use the plaster of Paris called POP and are a CaSO4 x 1/2 H2O is used for the airtight containers to stop them from taking in water vapors from the air and changes into gypsum that is  CaSO4 x 2H2O. The answer is given as below. Answer:

The plaster of Paris is used for coating the walls and the celling from the aspects of molding. Its also used for casting decorative elements.

It absorbs water from the air and vapor evolves when the 2.00 kg of gypsum is heated at 110 degrees. C.

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A 10.0 g sample of an unknown liquid is vaporized at 120.0°C and 5.0 atm. The volume of the vapour is found to be 568.0 mL. The liquid is determined to be made up of 84.2% carbon and 15.8% hydrogen. What is the molecular formula for the liquid?

Answers

Answer:

molecular formula of liquid = C₈H₁₈

Explanation:

First we determine the empirical formula of the liquid:

Number of moles of each element present in the liquid = % mass / molar mass

For Carbon, (molar mass = 12.01 g/mol) : 84.2/12.01 =7.011 moles

For Hydrogen (molar mass = 1.01 g/mol) : 15.8/1.01 = 15.643

Simplest mole ratio of the elements, C : H  is given by:

C = 7.011/7.011 = 1.0

H = 15.643/7.011 = 2.23

Multiplying through with 5, C:H = 5:11

Therefore, empirical formula is C₅H₁₁

The molecular mass of the liquid is next determined:

Using PV = nRT to find the number of moles of the liquid present

P = 5.0 atm; V = 568.0 mL = 0.568 L; R = 0.082 L*atmmol⁻¹ K⁻¹; T = 273 + 120 = 393 K

n = PV/RT = (5*0.568)/0.082*393

n = 0.088 moles

Molar mass of liquid = mass/no of moles = 10.0 g/ 0.088 moles = 113.63 gmol⁻¹

Molecular formula = n(empirical formula)

Molar mass of empirical formula, C₅H₁₁ = 71 gmol⁻¹

n = molecular mass/empirical mass = 113.63/71 = 1.6

Therefore, molecular formula =  1.6*(C₅H₁₁) = C₈H₁₈

What is the total energy change for the following reaction: H2 + I2 -> 2HI?

Given:
H-H bond: 436 kJ/mol
I-I bond: 151 kJ/mol
H-I bond: 297 kJ/mol

A. +7 kJ/mol
B. +297 kJ/mol
C. -290 kJ/mol
D. -7 kJ/mol

Answers

Energy change is the conversion of the energy stored in reactants to products. In the reaction between hydrogen and iodine, the energy change is -7 kJ/mol. Thus, option D is correct.

What is total energy change?

Total energy change is the conversion of the energy from a substance to another when the reactant undergoes modification to produce a product.

The reaction is given as,

H₂ + I₂ → 2HI

In the reaction, the bonds between H-H and I-I are broken to release energy that produces two H-I bonds as the product.

Given,

H-H bond = 436 kJ/mol

I-I bond = 151 kJ/mol

H-I bond = 297 kJ/mol

So, 436 kJ/mol + 151 kJ/mol - 2x297 kJ/mol = -7 kJ/mol

Therefore, -7 kJ/mol is the total energy change in the reaction involving hydrogen and iodine.

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When an F atom becomes an F-ion, the Fatom
gains a proton
gains an electron
loses an electron
loses a proton

Answers

When an F atom becomes an F-ion, the F atom gains an electron.

An atom is the smallest indivisible particle of an element. An atom consists of proton, electron and neutron, which are called subatomic particles.

An atom becomes charged when it loses or gains an electron. The charged atom is called an ion.

An atom loses electrons to become positively charged i.e. a cation while it gains electrons to become negatively charged i.e. an anion.

Therefore, when an F atom becomes an F-ion, this means that the F atom gains an electron.

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The Fluoride ion given has a -ve charge onto it. Thus in order to become stable Fluorine gains an electron. Thus option b is correct.

The elements in the periodic table try to attain the stable noble gas configuration in the order to become stable. The noble gas configuration has the elements to be less reactive.

When the atom loses an electron in order to become more stable,  a +ve charge has been implemented onto the ion.

When the atom gains an electron to become stable, a -ve charge has been added to the ion.

The Fluoride ion given has a -ve charge onto it. Thus in order to become stable Fluorine gains an electron. Thus option b is correct.

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What is the yield of uranium from 2.50 kg U3O8?

Answers

Answer: Thus the yield of uranium from 2.50 kg [tex]U_3O_8[/tex] is 2.12 kg

Explanation:

According to avogadro's law, 1 mole of every substance weighs equal to molecular mass and contains avogadro's number [tex](6.023\times 10^{23})[/tex] of particles.

To calculate the number of moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{molar mass}}[/tex]

moles of [tex]U_3O_8=\frac{2.50\times 1000g}{842g/mol}=2.97mol[/tex]    (1kg=1000g)

As 1 mole of [tex]U_3O_8[/tex] contains = 3 moles of U

2.97 mole of [tex]U_3O_8[/tex] contains = [tex]\frac{3}{1}\times 2.97=8.91moles[/tex] moles of U

Mass of Uranium=[tex]moles\times {\text {Molar mass}}=8.91mol\times 238g/mol=2120g=2.12kg[/tex]  

 ( 1kg=1000g)

Thus the yield of uranium from 2.50 kg [tex]U_3O_8[/tex] is 2.12 kg

CHEMISTRY PUNKS PLEASE HELP ME OUT!!!!!!!!!!!!!!!!! PLS. ILL LOVE U FOREVER N EVER! any point stealers will be reported <3

Answers

Answer: 25.0 L

Explanation:

For this problem, we will need to use Boyle's Law.

Boyle's Law: P₁V₁=P₂V₂

Since we are looking for V₂, we can rewrite the equation.

V₂=P₁V₁/P₂

The pressure should be in atm, so let's convert kPa to atm.

P₁=100 kPa=0.99 atm

P₂=200 kPa=1.97 atm

Now that we know the pressure in atm, we can plug it into the equation and solve.

[tex]V_{2} =\frac{(0.99 atm)(50.0L)}{1.97atm}[/tex]

[tex]V_{2} =25.0 L[/tex]

I NEED HELP PLEASE, THANKS! :)

The density of water at 4.00°C is 0.967 g/mL. How many molecules of water are present in a 499.8 mL bottle of water? Express your answer to the correct number of significant figures.

Answers

Answer:

[tex]\large \boxed{1.615 \times 10^{25}\text{ molecules water}}[/tex]

Explanation:

You must calculate the mass of the water, convert it to moles, and then calculate the number of molecules.

1. Mass of water

[tex]\text{Mass } = \text{499.8 mL} \times \dfrac{\text{0.967 g}}{\text{1 mL}} = \text{483.3 g}[/tex]

2. Moles of water

[tex]\text{Moles of water} = \text{483.3 g water} \times \dfrac{\text{1 mol water}}{\text{18.02 g water}} = \text{26.82 mol water}[/tex]

3. Molecules of water

[tex]\text{No. of molecules} = \text{26.82 mol water} \times \dfrac{6.022 \times 10^{23}\text{ molecules water}}{\text{1 mol water}}\\\\= \mathbf{1.615 \times 10^{25}}\textbf{ molecules water}\\\text{The sample contains $\large \boxed{\mathbf{1.615 \times 10^{25}}\textbf{ molecules water}}$}[/tex]

The number of molecules of water  present in the bottle is 1.62×10²⁵ molecules.

We'll begin by calculating the mass of the water in the bottle.

Density of water = 0.967 g/mLVolume of water = 499.8 mLMass of water =?

Mass = Density × Volume

Mass of water = 0.967 × 499.8

Mass of water = 483.3066 g

Finally, we shall determine number of molecules of water in the bottle.

From Avogadro's hypothesis,

1 mole of water = 6.02×10²³ molecules

But,

1 mole of water = 18 g

Thus, we can say that:

18 g of water = 6.02×10²³ molecules

Therefore,

483.3066 g of water = (483.3066 × 6.02×10²³) / 18

483.3066 g of water = 1.62×10²⁵ molecules

Thus, the number of molecules of water in the bottle is 1.62×10²⁵ molecules.

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What is the voltage of an electrolytic cell with copper and magnesium


electrodes?


A. 2.71 V


B. -2.71 V


C. 2.03 V


D. -2.03 V

Answers

Answer:

A. 2.71 V

Explanation:

The standard reduction potential, E° of the metals are as follows:

Mg²⁺ + 2e⁻ ⇌  Mg; E° = -2.372

Cu²⁺ + 2e⁻ ⇌  Cu; E° = +0.337

Since magnesium has the the lower E°, it will serve as the anode in the electrolytic cell while copper will serve as the cathode.

At the anode; Mg ⇌  Mg²⁺ + 2e⁻, E° = -2.372

At the cathode; Cu²⁺ + 2e⁻ ⇌  Cu, E° = +0.337

EMF of the cell = E° cathode - E° anode = 0.337 - (-2.372) = 2.71 V

Therefore, EMF of the cell is 2.71 V

Answer:-2.71 is the correct answer

Explanation:

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What is the name of this shape? Please help! You can rent time on computers at the local copy center for a $9 setup charge and an additional $150 for every 5 minutes. How much time can be rented for $26?Select the correct choice below and fill in the answer box to complete your choiceA. The independent variable is time (t) in minutes, and the dependent vanable is rental cost (), in dollars. The linear function that models this situation is(Simplify your answer. Do not include the $ symbol in your answer)B. The independent variable is rental cost (t), in dollars, and the dependent variable is time (t), in minutes. The linear function that models this situation ist(Simplify your answer. Do not include the 5 symbol in your answer.)minutes can be rented for $26(Round to the nearest minute as needed)A linear modelreasonable for this situation How would you solve this Im confused The following are the ages (years) of 5 people in a room: 23, 15, 17,23, 23 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room? SOMEBODY HELP ME OUT !! Which fallacy is best represented by the following: "A college has never been a democratic institution and never will be, so students should not argue for more involvement in decision making." 1) is / ought 2) begging the question 3) either / or 4) false appeal to emotion 5) ad hominem circumstantial Extra point hereWhich metric unit would be best to measure the diameter of a pencil? Which ordered pairs make both inequalities true? Check all that apply. (5, 5) (0, 3) (0, 2) (1, 1) (3, 4) what do you do if your lender rejects your loan application A car drives at a speed of 90 km/h for 2 hours and 20 minutes.How far does the car drive? If a person is at the blue dot, which route should be taken to exit the building in a fire? Go out through the door, proceed down the hall, and take the stairs. Go out through the door, turn left, turn right, and exit through the window. Go out through the door, turn right, turn right again, call 9-1-1, leave room, go to the right, and go to emergency exit. Go out through the door, turn right, and proceed to the emergency exit at the end of the hall. please help me... I'm confused [tex] ({3x}^{2} + 2x + 1) + ( {2x}^{2} - 4x - 5) + (3x - 1)[/tex] How did the settlers that came to Georgia feel about the Trustees rules? Use Hooke's Law to determine the work done by the variable force in the spring problem. Nine joules of work is required to stretch a spring 0.5 meter from its natural length. Find the work required to stretch the spring an additional 0.40 meter. 10 PointsAtoms are very small. Approximately how many atoms would it take tomake a stack as thick as a potato chip?OA. ThousandsOB. HundredsC. BillionsOD. MillionsReset Selection which country was created as a Muslim majority country?Pakistan indiaSenegalmali Gerry is a chef in a popular restaurant. He has limited time to help prepare for a party. Study the table below, which shows Gerry's production possibilities. Calculate the opportunity cost of going from producing 2 sandwiches to 3 sandwiches. Show your work. b) Draw a correctly labeled PPC using the data from the table above. c) Does this PPC indicate increasing, decreasing, or constant opportunity cost? Explain. d) Think of two goods that might have a constant opportunity cost of production. Draw and label a PPC for them. You do not need to make a table or define specific data quantities on the axes. Label which good is represented on each axis. e) On your graph from part d, label an efficient and inefficient point of production (two separate points). Given:AC AR Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90 b. 180 c. 270 d. 360 e. Other: