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Question 1 of 40 Quiz ID: q1

Which of the following is an example of an extensive property?

Temperature

Pressure

Density

Volume

Question 2 of 40 Quiz ID: q2

The specific volume of a substance is defined as:

Mass per unit volume

Volume per unit mass

The inverse of specific gravity

The ratio of its density to the density of water

Question 3 of 40 Quiz ID: q3

For a fixed amount of gas held at constant temperature, if the volume is halved, what happens to the pressure according to Boyle's Law?

It is halved

It is doubled

It remains the same

It is quadrupled

Question 4 of 40 Quiz ID: q4

The Ideal Gas Law, PV = mRT, becomes invalid under which condition?

At low pressures and high temperatures

At high pressures and low temperatures

For monatomic gases like argon

When the compressibility factor Z is close to 1

Question 5 of 40 Quiz ID: q5

The universal gas constant, R_u, is 8.314 kJ/kmol·K. What is the specific gas constant for air, which has a molar mass of 28.97 kg/kmol?

0.287 kJ/kg·K

2.87 kJ/kg·K

28.7 kJ/kg·K

287 kJ/kg·K

Question 6 of 40 Quiz ID: q6

A rigid tank contains 2 kg of oxygen (M = 32 g/mol) at 100 kPa and 27°C. What is the volume of the tank? (Use R_u = 8.314 kJ/kmol·K)

0.56 m³

1.56 m³

2.56 m³

3.56 m³

Question 7 of 40 Quiz ID: q7

The compressibility factor, Z, is defined as:

Z = P / (ρRT)

Z = (Pv) / (RT)

Z = (RT) / (Pv)

Z = ρRT

Question 8 of 40 Quiz ID: q8

For an ideal gas, the value of the compressibility factor Z is always:

Z = 0

Z = 1

Z > 1

Z < 1

Question 9 of 40 Quiz ID: q9

According to the principle of corresponding states, how can the behavior of different gases be compared?

By using the same equation of state

By comparing their molecular weights

At the same reduced pressure and reduced temperature

At the same critical pressure and critical temperature

Question 10 of 40 Quiz ID: q10

A gas is least likely to exhibit ideal gas behavior near its:

Critical point

Triple point

State at very low pressure

State at very high temperature

Question 11 of 40 Quiz ID: q11

What is the reduced temperature (T_R) of water vapor at 500°C if its critical temperature is 374.2°C?

1.03

1.33

1.67

2.06

Question 12 of 40 Quiz ID: q12

The Van der Waals equation of state incorporates corrections for:

Intermolecular forces and finite molecular size

Chemical reactions between molecules

Quantum mechanical effects at low temperature

Relativistic effects at high temperature

Question 13 of 40 Quiz ID: q13

Which equation of state is known to be reasonably accurate for densities up to about 0.8 times the critical density?

Ideal Gas Law

Van der Waals Equation

Beattie-Bridgeman Equation

Benedict-Webb-Rubin Equation

Question 14 of 40 Quiz ID: q14

The Benedict-Webb-Rubin (BWR) equation of state is particularly useful because it:

Is the simplest equation to use

Can handle higher densities (up to ~2.5ρ_cr)

Only requires the critical properties of the gas

Assumes ideal gas behavior

Question 15 of 40 Quiz ID: q15

In the Virial Equation of State, the coefficients a(T), b(T), c(T)... are known as:

Critical coefficients

Ideal coefficients

Virial coefficients

Compressibility factors

Question 16 of 40 Quiz ID: q16

For a real gas, if the compressibility factor Z is greater than 1, the most likely cause is that:

Intermolecular attractive forces are dominant

Intermolecular repulsive forces are dominant

The gas is at very low pressure

The gas is at very high temperature

Question 17 of 40 Quiz ID: q17

Which of the following statements about specific gravity (SG) is FALSE?

It is a dimensionless quantity

For liquids, it is often measured relative to water at 4°C

It is numerically equal to density in g/cm³

It depends on the temperature and pressure of both the fluid and the reference

Question 18 of 40 Quiz ID: q18

In an isothermal expansion of an ideal gas inside a cylinder, the work done BY the gas is given by:

W = PΔV

W = mRΔT

W = mRT ln(V₂/V₁)

W = ΔU - Q

Question 19 of 40 Quiz ID: q19

A piston-cylinder device contains an ideal gas. The gas is compressed in a process where pressure and volume are related by PV^n = constant. If n = 0, the process is:

Isobaric (constant pressure)

Isothermal (constant temperature)

Isochoric (constant volume)

Adiabatic (no heat transfer)

Question 20 of 40 Quiz ID: q20

A rigid vessel contains helium. Heat is added to the vessel. Which property of the helium MUST increase?

Pressure

Specific Volume

Density

Internal Energy

Question 21 of 40 Quiz ID: q21

Which of these pairs consists of two intensive properties?

Volume, Density

Pressure, Temperature

Mass, Specific Volume

Energy, Pressure

Question 22 of 40 Quiz ID: q22

The critical point of a substance is defined as the point where:

Solid, liquid, and gas phases coexist

The saturated liquid and saturated vapor states are identical

The compressibility factor Z is exactly 1

The ideal gas law becomes perfectly accurate

Question 23 of 40 Quiz ID: q23

What is the density of air (R=0.287 kJ/kg·K) at 100 kPa and 25°C?

0.736 kg/m³

1.16 kg/m³

2.33 kg/m³

4.65 kg/m³

Question 24 of 40 Quiz ID: q24

A gas has a critical pressure of 5 MPa and a critical temperature of 400 K. What is its reduced pressure when stored at 10 MPa and 300 K?

0.5

2.0

0.75

1.33

Question 25 of 40 Quiz ID: q25

For the gas in the previous question, what is its reduced temperature at the same state (10 MPa, 300 K)?

0.75

1.33

2.0

0.5

Question 26 of 40 Quiz ID: q26

Referring to the generalized compressibility chart, a gas at P_R=3 and T_R=1.2 will most likely have a compressibility factor Z:

Z < 1

Z = 1

Z > 1

Z = 0

Question 27 of 40 Quiz ID: q27

The constant 'b' in the Van der Waals equation represents a correction for:

Intermolecular attraction

Intermolecular repulsion

The finite size of molecules

The non-spherical shape of molecules

Question 28 of 40 Quiz ID: q28

The constant 'a' in the Van der Waals equation represents a correction for:

Intermolecular attraction

Intermolecular repulsion

The finite size of molecules

The non-spherical shape of molecules

Question 29 of 40 Quiz ID: q29

Which equation of state is expressed as a power series in terms of inverse volume?

Ideal Gas Law

Van der Waals Equation

Beattie-Bridgeman Equation

Virial Equation of State

Question 30 of 40 Quiz ID: q30

A real gas is compressed isothermally. Compared to the work required to compress an ideal gas under the same conditions, the work required for the real gas will be less if:

Z > 1 throughout the process

Z < 1 throughout the process

Z = 1 throughout the process

The work is always the same regardless of Z

Question 31 of 40 Quiz ID: q31

In the Beattie-Bridgeman equation, the terms A and B are:

Constants

Functions of temperature only

Functions of volume only

Functions of both temperature and volume

Question 32 of 40 Quiz ID: q32

For a mixture of ideal gases, the specific gas constant R_mix for the mixture is determined by:

Averaging the R values of the components based on mass fractions

Averaging the R values of the components based on mole fractions

The gas constant of the component with the highest concentration

R_u divided by the average molar mass of the mixture

Question 33 of 40 Quiz ID: q33

If the specific volume calculated using the ideal gas law is significantly higher than the value from steam tables for water vapor at a given state, the most likely reason is that:

The ideal gas law overestimates volume due to ignoring attractive forces

The ideal gas law underestimates volume due to ignoring molecular size

The steam tables are incorrect

The gas constant R used was wrong

Question 34 of 40 Quiz ID: q34

In a closed system undergoing a process, the relationship between the initial and final states for an ideal gas is given by P₁V₁/T₁ = P₂V₂/T₂. This is a statement of:

The Combined Gas Law

Boyle's Law

Charles's Law

The Ideal Gas Law

Question 35 of 40 Quiz ID: q35

A container is divided by a partition. Side A has gas at high pressure, and side B is evacuated. When the partition is removed, the gas expands to fill the entire container. This is an example of:

Free expansion

Isothermal expansion

Polytropic expansion

Adiabatic expansion

Question 36 of 40 Quiz ID: q36

For water, the critical pressure P_cr is approximately 22.06 MPa. What is the reduced pressure P_R for water at 11.03 MPa?

0.5

1.0

2.0

0.25

Question 37 of 40 Quiz ID: q37

The term 'superheated vapor' describes a vapor that:

Is at a temperature above its critical temperature

Is at a pressure above its saturation pressure at a given temperature

Is at a temperature above its saturation temperature at a given pressure

Has a compressibility factor Z > 1

Question 38 of 40 Quiz ID: q38

The specific heat at constant volume, c_v, for an ideal gas is defined as the change in:

Enthalpy per unit temperature change

Internal energy per unit temperature change

Internal energy per unit pressure change

Entropy per unit temperature change

Question 39 of 40 Quiz ID: q39

The specific heat at constant pressure, c_p, is always _____ than c_v for an ideal gas.

Less

Equal

Greater

Less than or equal to

Question 40 of 40 Quiz ID: q40

In the analysis of the air pistol example from the lecture, the expansion process was assumed to be isothermal. This assumption is reasonable if:

The process is very fast

The process is very slow

The bullet is very heavy

The cylinder is well-insulated

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