Deck 14: The Ideal Gas Law and Its Applications

Question 1

For which state of matter represented in the choices is the following statement applicable?
"Equal volumes of different substances contain the same number of particles."

A)
B)
C)
D)This statemeny does not apply to anyof the states of matter.

Answer 1

Question 2

Which of the following represents the molar volume of an ideal gas at 273K and 1 bar?

A)22.7 mL/mol
B)22.7 L/mol
C)22.4 L/mol
D)0.0821 L/mol
E)Different gases have different molar volumes under these conditions.

Answer 2

22.7 L/mol

Question 3

What is the density of helium gas at 17°C and 773 torr?

A)0.171 g/L
B)2.91 g/L
C)5.85 g/L
D)1.30* 10² g/L
E)2.22* 10³ g/L

Answer 3

0.171 g/L

Question 4

How many grams of oxygen gas occupy 549 mL at 743 torr and 18°C?

A)0.0225 g
B)0.359 g
C)11.6 g
D)0.751 g
E)0.719 g

Question 5

Consider the algebraic expression a* b = c * d *

A)b = c = d
B)b $\infty$ c $\infty$ d
C)a = e
D)a $\infty$ e
E)a *e= b *c * d

Question 6

The STP density of a gas is 1.46 grams per liter.Calculate its molar mass.

A)0.0306 g/mol
B)2.49 * 10⁴ g/mol
C)3.00 g/mol
D)33.1 g/mol
E)35.7 g/mol

Question 7

The density of an unknown gas is 0.731 g/L at 20°C and 1.035 atm.What is the molar mass of the gas?

A)1.16 g/mol
B)17.0 g/mol
C)32.0 g/mol
D)88.1 g/mol
E)2.52 *10³ g/mol

Question 8

What volume is occupied by 0.0100 mole of carbon monoxide at 9°C and 0.973 atm?

A)0.00759 L
B)0.132 L
C)0.238 L
D)4.20 L
E)577 L

Question 9

Which of the following is a mathematical expression of the Ideal Gas Law,using the symbols commonly assigned to the measurable properties of gases in the chemistry literature (k represents a constant)?

A)
B)
C)
D)
E)

Question 10

Consider the following representation of a gaseous chemical reaction. If carried out at constant temperature and pressure how would the volume in the container before the reaction (V_r)compare to that after the reaction (V_p)?

A)V_r = V_p
B)V_r = 2V_p
C)2V_r = V_p
D)3V_r = V_p
E)V_r = 3V_p

Question 11

Consider the balloon shown below which has a volume of 0.34 L. Determine the pressure in the balloon if the temperature is being held at 35°C and the balloon contains 0.0233 mol of an ideal gas.

A)1.3 *10³ atm
B)1.7 atm
C)0.58 atm
D)0.20 atm

Question 12

What is the common reference conditions for temperature and pressure (STP),respectively?

A)273 K,1 bar
B)100 °C,1 Pa
C)0 K,1 bar
D)273 K,1 atm
E)(0 K,1 bar)

Question 13

A gas has a density of 1.54 grams/liter at 1.14 atm and 15°C.Calculate the molar mass of the gas.

A)0.0313 g/mol
B)1.66 g/mol
C)31.9 g/mol
D)1.26 *10³ g/mol
E)2.43 *10⁴ g/mol

Question 14

Determine the density of nitrogen gas at 21°C and 704 torr.

A)0.0384 g/L
B)0.537 g/L
C)0.816 g/L
D)0.934 g/L
E)1.08 g/L

Question 15

Calculate the number of moles in 3.13 L of dinitrogen monoxide at STP.

A)0.140 mol
B)7.16 mol
C)93.9 mol
D)70.1 mol
E)138 mol

Question 16

Which of the following gases should have the largest density at STP?

A)HCN
B)Cl₂
C)CH₃CH₂CH₃
D)C₄H₁₀
E)The density cannot be predicted with the given data.

Question 17

How does the volume of 3 *10²² hydrogen molecules compare with the volume of 3 * 10²² helium atoms,when both are measured at the same temperature and pressure?

A)The volume of hydrogen is twice the volume of helium
B)The volume of helium is twice the volume of hydrogen
C)The volume of hydrogen is four times the volume of helium
D)The volume of helium is four times the volume of hydrogen
E)Both volumes are the same

Question 18

Calculate the density of neon at 32°C and 0.676 atm.

A)7.17 * 10^-4 g/L
B)6.84* 10^-3 g/L
C)0.545 g/L
D)1.83 g/L
E)5.20 g/L

Question 19

Calculate the density of nitrogen dioxide at STP.

A)2.70 * 10^-3 g/L
B)0.487 g/L
C)22.7 g/L
D)2.03 g/L
E)1.88 g/L

Question 20

An unknown substance is vaporized at 200°C and 94.2 torr,under which conditions its density is 0.198 grams per liter.Find the molar mass.

A)0.0161 g/mol
B)0.0345 g/mol
C)0.0816 g/mol
D)26.2 g/mol
E)62.0 g/mol

Question 21

How many moles are in 1.73 L of a gas if the molar volume is 37.5 L/mol?

A)0.0154 mol
B)0.0461 mol
C)21.7 mol
D)64.9 mol
E)22.4 mol

Question 22

A gas has a density of 1.19 g/L at STP.Which of the following could be this gas?

A)C₄H₁₀
B)C₃H₆
C)HCN
D)HI
E)OF₂

Question 23

If 10.0 g of aluminum is consumed in the reaction 2 NaOH(aq)+ 2 Al(s)+ 6 H₂O( ) $\rightarrow$ 2 NaAl(OH)₄(aq)+ 3 H₂(g),what volume of hydrogen,measured at -4°C and 0.88 atm,will be produced?

A)6.2 L
B)12 L
C)14 L
D)16 L
E)19 L

Question 24

How many grams of hydrogen chloride are required to produce 12.0 liters of chlorine,measured at 1.22 atm and 19°C? 4 HCl + O₂ $\rightarrow$ 2 Cl₂ + 2 H₂O

A)0.00837 g
B)0.0335 g
C)0.0224 g
D)44.5 g
E)11.1 g

Question 25

What volume of oxygen,measured at STP,can be produced by the decomposition of potassium chlorate if 20.0 g of the salt (KClO₃)is completely decomposed into potassium chloride and oxygen gas?

A)1.83 L
B)2.44 L
C)3.66 L
D)2.14 L
E)5.55 L

Question 26

Calculate the molar volume of nitrogen at 17°C and 5.27 atm.

A)0.211 L/mol
B)0.265 L/mol
C)4.52 L/mol
D)127 L/mol
E)3.43 * 10³ L/mol

Question 27

What is the molar mass of a gas if 1.070 g of the gas occupies 264 mL at 100°C and 768 torr?

A)0.123 g/mol
B)0.162 g/mol
C)32.9 g/mol
D)64.0 g/mol
E)123 g/mol

Question 28

If the molar volume of a gas is 23.6 L/mol,how many moles are in 2.14 L?

A)50.5 mol
B)22.4 mol
C)11.0 mol
D)0.0907 mol
E)0.0198 mol

Question 29

Calculate the volume of 76.2 mole of propane gas,C₃H₈,if the molar volume is 55.0 L/mol.

A)1.39 L
B)61.1 L
C)1.85 * 10⁵ L
D)2.39 * 10^-4 L
E)4.19 * 10³ L

Question 30

How many liters of hydrogen,measured at 20°C and 750 torr,are required to react with 55.2 grams of aluminum oxide in the reaction Al₂O₃ + 3 H₂ $\rightarrow$ 2 Al + 3 H₂O?

A)36.6 L
B)1.62 L
C)2.70 L
D)0.0253 L
E)0.0520 L

Question 31

Calculate the molar volume of a gas at 21°C and 3.73 atm.

A)0.462 L/mol
B)0.155 L/mol
C)351 L/mol
D)4.92*10³ L/mol
E)6.47 L/mol

Question 32

Calculate the volume of hydrogen,measured at 19°C and 688 torr,that will be produced from 0.45 g of sodium in the reaction 2 Na(s)+ 2 H₂O( ) $\rightarrow$ 2 NaOH(aq)+ H₂(g).

A)1.9 *10² mL
B)2.1 * 10² mL
C)2.3 * 10² mL
D)2.6 * 10² mL
E)1.0 *10³ mL

Question 33

What is the molar volume of a gas at 6°C and 975 torr?

A)17.9 L/mol
B)0.384 L/mol
C)0.0560 L/mol
D)0.0235 L/mol
E)5.05 * 10-4 L/mol

Question 34

Which of the following statements is incorrect?
(i)The molar volume of a gas is the number of moles in one liter
(ii)The molar volume of a gas is variable depending on temperature and pressure
(iii)All gases have the same molar volume at the same temperature and pressure

A)All are correct
B)i only
C)ii only
D)iii only
E)ii and iii

Question 35

What is the volume of 0.0775 mole of nitrogen if the molar volume is 27.6 L/mol?

A)59.9 L
B)2.14 L
C)0.468 L
D)0.0786 L
E)2.81*10^-3 L

Question 36

What is the molar volume of CO₂ at 39°C and 652 torr?

A)0.0335 L/mol
B)0.0393 L/mol
C)3.73 L/mol
D)29.9 L/mol
E)1.32 *10³ L/mol

Question 37

Consider the reaction CH₄(g)+ H₂O(g) $\rightarrow$ 3 H₂(g)+ CO(g).If 2.25 L of methane,measured at STP,react,how many liters of hydrogen will be produced if it is also measured at STP?

A)0.094 L
B)0.75 L
C)0.84 L
D)2.25 L
E)6.75 L

Question 38

The molar volume of a gas at a certain temperature and pressure is 35.1 L/mol.What is the volume of 0.233 mol of the gas?

A)6.64 * 10^-3 L
B)8.18 L
C)151 L
D)6.64 * 10^-2 L
E)0.818 L

Question 39

Determine the STP volume of sulfur hexafluoride that will be produced from the reaction of 25.0 kg of sulfur in the reaction S( )+ 3 F₂(g) $\rightarrow$ SF₆(g).

A)0.0348 kL
B)34.8 kL
C)0.0175 kL
D)17.7 kL
E)1.75 *10⁴ kL

Question 40

Consider the reaction 2 NH₃(g)+ CO₂(g) $\rightarrow$ H₂NCONH₂(s)+ H₂O(g).If 93.5 kL of ammonia at STP is reacted with excess carbon dioxide,how many kilograms of urea will be formed?

A)124 kg
B)501 kg
C)1.05*10³ kg
D)6.29 *10⁴ kg
E)2.52*10⁵ kg

Question 41

A 399 mL sample of ethane at 45°C and 656 mm Hg is burned,producing carbon dioxide gas,which is captured,separated and cooled to 5°C.The pressure of the CO₂ sample is adjusted to 7.50 *10² mm Hg.What is its volume? 2 C₂H₆(g)+ 7 O₂(g) $\rightarrow$ 4 CO₂(g)+ 6 H₂O(g)

A)153 mL
B)200 mL
C)261 mL
D)610 mL
E)798 mL

Question 42

Consider the reaction CO(g)+ 2 H₂(g) $\rightarrow$ CH₃OH(g).If 15.0 L of hydrogen,measured at 22°C and 732 torr,reacts with excess carbon monoxide,what volume of methanol,measured at 345°C at 1.12*10³ torr,will be produced?

A)2.34 L
B)5.48 L
C)10.3 L
D)24.0 L
E)41.1 L

Question 43

Liquid butane burns according to the equation 2 C₄H₁₀( )+ 13 O₂(g) $\rightarrow$ 8 CO₂(g)+ 10 H₂O(g).How many grams of butane have burned if 3.39 L of carbon dioxide is produced at 34°C and 1.22 atm?

A)2.38 g
B)3.02 g
C)1.60 g
D)38.2 g
E)1.20 *10³ g

Question 44

If 26.0 liters of methane,CH₄,measured at 1.09 atm and 23.0?0°C,are converted to acetylene,C₂H₂,what volume of acetylene,measured at 0.941 atm and 185?0°C,will result? 2 CH₄ $\rightarrow$ C₂H₂ + 3 H₂

A)9.73 L
B)17.4 L
C)23.3 L
D)93.2 L
E)0.0429 L

Question 45

An STP volume of 564 liters of oxygen is produced in the reaction 2 N₂O₅(g) $\rightarrow$ 4 NO₂(g)+ O₂(g).What volume of nitrogen dioxide is also produced if it is measured at 25°C and 1.00 bar?

A)2.46 *10³ L
B)1.87 * 10⁶ L
C)2.07 * 10³ L
D)154 L
E)5.64 * 10⁴ L