Ideal Gas Law: Understanding Gas Behavior for Thermodynamics

Question 1

An ideal gas is confined in a sealed container. If the temperature of the gas is increased while keeping the volume constant, what happens to the pressure of the gas?

Accepted Answer

It increases.

Answer

It decreases.

Answer

It stays the same.

Answer

It cannot be determined.

Question 2

A gas sample has a partial pressure of 0.6 atm in a mixture of gases. If the total pressure of the mixture is 1 atm, what is the mole fraction of the gas in the mixture?

Accepted Answer

0.6

Answer

0.4

Answer

0.2

Answer

0.8

Question 3

Which of the following processes is isothermal?

Accepted Answer

Isothermal compression

Answer

Free expansion

Answer

Adiabatic expansion

Answer

Isochoric cooling

Question 4

An ideal gas undergoes an adiabatic process. Which of the following statements is true?

Accepted Answer

There is no heat transfer to or from the gas.

Answer

The pressure of the gas decreases.

Answer

The volume of the gas increases.

Answer

The temperature of the gas remains constant.

Question 5

Which of the following units is NOT a unit of pressure?

Accepted Answer

Joule

Answer

Pascal

Answer

Atmosphere

Answer

Bar

Question 6

State the mathematical expression of the Ideal Gas Law.

Accepted Answer

PV = nRT

Answer

PV = constant

Answer

V = nRT

Answer

P = nRT

Question 7

If the temperature of an ideal gas is doubled at constant volume, what happens to its pressure?

Accepted Answer

Doubles

Answer

Halves

Answer

Quadruples

Answer

Remains the same

Question 8

Which of the following statements about ideal gases is incorrect?

Accepted Answer

The Ideal Gas Law is applicable to all gases under all conditions.

Answer

Ideal gas particles have negligible volume.

Answer

Ideal gases have constant specific heats.

Answer

Collisions between ideal gas particles are completely elastic.

Question 9

What is the molar volume of an ideal gas at Standard Temperature and Pressure (STP)?

Accepted Answer

22.4 L/mol

Answer

1 L/mol

Answer

10 L/mol

Answer

100 L/mol

Question 10

If the density of an ideal gas is doubled at constant temperature, what happens to its volume?

Accepted Answer

Halves

Answer

Doubles

Answer

Quadruples

Answer

Remains the same

Question 11

Which of the following does NOT affect the behavior of an ideal gas?

Accepted Answer

Mass

Answer

Temperature

Answer

Pressure

Answer

Volume

Question 12

Which of the following best describes the behavior of an ideal gas?

Accepted Answer

Particles have negligible volume and no intermolecular forces.

Answer

Particles have significant volume and strong intermolecular forces.

Question 13

Which of the following assumptions is NOT made in the Ideal Gas Law?

Accepted Answer

Particles have constant kinetic energy

Answer

Particles have no intermolecular forces

Question 14

A balloon filled with helium has a volume of 5 L at a temperature of 298 K. If the temperature drops to 273 K while the pressure remains constant, what will be the new volume of the balloon?

Accepted Answer

4.5 L

Answer

5 L

Question 15

The Ideal Gas Law is mathematically expressed as:

Accepted Answer

PV = nRT

Answer

PV = nRT/V

Answer

PV = n/RT

Answer

PV = RT/n

Question 16

According to Charles' Law, how is volume related to temperature at constant pressure?

Accepted Answer

Volume is directly proportional to temperature

Answer

Volume is inversely proportional to temperature

Answer

Volume is independent of temperature

Answer

Volume is inversely proportional to the square root of temperature

Question 17

What is the molar volume of an ideal gas at Standard Temperature and Pressure (STP)?

Accepted Answer

22.4 L

Answer

24 L

Answer

26 L

Answer

28 L

Question 18

An ideal gas is held at constant pressure. What will happen to its volume if its temperature is increased?

Accepted Answer

Increase

Answer

Remain the same

Answer

Decrease

Question 19

According to Boyle's Law, what happens to the pressure of an ideal gas if its volume is decreased while the temperature remains constant?

Accepted Answer

Increases

Answer

Decreases

Answer

Remains the same

Answer

Insufficient information provided

Question 20

According to Dalton's Law of Partial Pressures, the partial pressure of each gas in a mixture is:

Accepted Answer

Proportional to the molar fraction of each gas

Answer

Equal to the total pressure

Answer

Proportional to the mass fraction of each gas

Answer

Inversely proportional to the molar fraction of each gas

Question 21

The van der Waals equation improves upon the Ideal Gas Law by considering:

Accepted Answer

Both finite molecular volume and intermolecular forces

Answer

Finite molecular volume

Answer

Intermolecular forces

Answer

Neither finite molecular volume nor intermolecular forces

Question 22

For an ideal gas, the compressibility factor (Z) is:

Accepted Answer

Always 1

Answer

Less than 1

Answer

Greater than 1

Answer

Depends on temperature and pressure

Question 23

According to Charles's Law, the volume of an ideal gas is directly proportional to its:

Accepted Answer

Temperature

Answer

Pressure

Answer

Number of moles

Answer

Gravitational acceleration

Question 24

Which of the following describes the conditions under which the combined gas law can be applied?

Accepted Answer

Changing pressure, volume, and temperature

Answer

Constant pressure and temperature

Answer

Constant temperature and volume

Answer

Constant pressure and volume

Question 25

Molar specific heat capacity is defined as the amount of heat required to raise the temperature of one:

Accepted Answer

Mole of a substance by 1 degree Celsius

Answer

Kilogram of a substance by 1 degree Celsius

Answer

Gram of a substance by 1 degree Celsius

Answer

Liter of a substance by 1 degree Celsius

Question 26

Entropy is a measure of:

Accepted Answer

The disorder of a system

Answer

The amount of heat transferred to or from a system

Answer

The temperature of a system

Answer

The volume of a system

Question 27

Under which condition(s) might an ideal gas deviate significantly from its ideal behavior?

Accepted Answer

Extremely high pressure

Accepted Answer

Extremely low temperature

Answer

Extremely dilute gas

Answer

Absence of external forces acting on the gas

Question 28

According to the Ideal Gas Law, which factor has no effect on the pressure of a gas?

Accepted Answer

Mass

Answer

Volume

Answer

Temperature

Answer

Number of moles

Question 29

Which assumption is not made when considering an ideal gas?

Accepted Answer

Gas molecules exert negligible forces on each other

Answer

Molecules have negligible volume

Answer

Molecules collide elastically

Answer

Average kinetic energy is proportional to temperature

Question 30

Which assumption of the Ideal Gas Law is violated when the gas molecules are large, such as in the case of ethane gas?

Accepted Answer

Molecules are point masses with negligible volume.

Answer

Collisions between molecules are perfectly elastic.

Answer

Gas molecules move randomly and independently.

Question 31

Which of the following is NOT a variable in the Ideal Gas Law?

Accepted Answer

Enthalpy

Answer

Temperature (in Kelvin)

Answer

Volume

Answer

Pressure

Question 32

Which of the following gases has the largest molar volume at a given temperature and pressure?

Accepted Answer

Helium

Answer

Oxygen

Answer

Nitrogen

Answer

Carbon dioxide

Question 33

A sealed container holds a mixture of 0.5 moles of hydrogen and 0.75 moles of oxygen. If the total pressure inside is 2.0 atm, what is the partial pressure of hydrogen?

Accepted Answer

1.0 atm

Answer

1.5 atm

Answer

0.5 atm

Question 34

An ideal gas sample occupies 3.0 L at 273 K. At what temperature will its volume reach 6.0 L if the pressure remains constant?

Accepted Answer

546 K

Answer

373 K

Answer

273 K

Answer

726 K

Question 35

Which of the following assumptions is NOT made in the Ideal Gas Law?

Accepted Answer

Gas molecules interact through strong intermolecular forces.

Answer

Gas molecules are point masses.

Answer

Gas molecules move randomly and collide elastically.

Question 36

A diver descends to 20 m in seawater with a density of 1025 kg/m³. Assuming atmospheric pressure is 1.0 atm at the surface, what is the absolute pressure acting on the diver's body?

Accepted Answer

3.0 atm

Answer

2.0 atm

Answer

4.0 atm

Answer

1.0 atm

Question 37

The molar specific heat capacity of an ideal gas at constant volume is:

Accepted Answer

(3/2)R

Answer

2R

Answer

(5/2)R

Answer

R

Question 38

Which equation accurately represents the Ideal Gas Law?

Accepted Answer

PV = nRT

Answer

P = nRT/V

Answer

PV = nRT/P

Answer

V = nRT/P

Question 39

A gas occupies 2 liters at 25 °C. If the temperature rises to 50 °C at constant volume, what will be the new pressure?

Accepted Answer

1.11 atm

Answer

1.05 atm

Answer

1.22 atm

Answer

0.90 atm

Question 40

A gas mixture contains 2 moles of nitrogen and 3 moles of oxygen. If the total pressure of the mixture is 2 atm, what is the partial pressure of oxygen?

Accepted Answer

1.2 atm

Answer

0.8 atm

Answer

1.5 atm

Question 41

Among the following gases, which has the highest density under identical conditions of temperature and pressure?

Accepted Answer

Xenon

Answer

Oxygen

Answer

Nitrogen

Answer

Helium

Question 42

Which assumption is NOT included in the Ideal Gas Law?

Accepted Answer

Gas particles have significant volume.

Answer

Collisions between gas particles are perfectly elastic.

Answer

Gas particles move randomly.

Question 43

A sample of helium gas occupies 2 liters at a pressure of 1.2 atm and a temperature of 298 K. If the temperature is decreased to 273 K while keeping the volume constant, what will be the new pressure?

Accepted Answer

1 atm

Answer

2.4 atm

Answer

0.6 atm

Answer

1.5 atm

Question 44

A cylinder with a movable piston contains 1 mole of an ideal gas at a pressure of 2 atm and a volume of 10 liters. If the gas is compressed isothermally to half its initial volume, what will be the final pressure?

Accepted Answer

4 atm

Answer

1 atm

Answer

8 atm

Answer

2 atm

Question 45

Which of the following correctly describes the relationship between the volume and temperature of an ideal gas at constant pressure?

Accepted Answer

Linear and directly proportional

Answer

Non-linear and inversely proportional

Answer

Exponential and inversely proportional

Answer

Logarithmic and directly proportional

Question 46

Which of the following is NOT a factor that can cause deviations from the Ideal Gas Law at high pressures?

Accepted Answer

The average kinetic energy of the molecules increases.

Answer

The molecules occupy a significant volume compared to the container volume.

Answer

The intermolecular forces between molecules become significant.

Question 47

Two containers of equal volume contain different ideal gases at the same temperature. If the number of moles of gas in container A is three times the number of moles in container B, what is the ratio of the pressure in container A to the pressure in container B?

Accepted Answer

3:1

Answer

9:1

Answer

1:3

Answer

1:1

Question 48

A gas sample initially at 273 K is heated to 373 K. Assuming constant pressure, what is the percentage change in the volume of the gas?

Accepted Answer

33.3%

Answer

10%

Answer

20%

Answer

50%

Question 49

What is the molar mass of a gas if 4 grams of the gas occupy 2 liters at a pressure of 2 atm and a temperature of 298 K?

Accepted Answer

44 g/mol

Answer

88 g/mol

Answer

66 g/mol

Answer

22 g/mol

Question 50

A mixture of gases contains 2 moles of nitrogen (N2) and 3 moles of oxygen (O2). If the total volume of the mixture is 10 liters and the temperature is 298 K, what is the partial pressure of nitrogen in the mixture?

Accepted Answer

2.68 atm

Answer

1.34 atm

Answer

4 atm

Answer

5.36 atm

Question 51

What is the volume of a gas at STP if it has a volume of 6 liters at a pressure of 1.5 atm and a temperature of 373 K?

Accepted Answer

4 liters

Answer

2 liters

Answer

10 liters

Answer

8 liters

Question 52

What is the density of a gas at a pressure of 1.8 atm, a temperature of 273 K, and a molar mass of 32 g/mol?

Accepted Answer

1.43 g/L

Answer

2.15 g/L

Answer

0.71 g/L