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Thermodynamics

Process design, thermodynamics, reactions

49 Q 5 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 31–40 of 49
Topics in Chemical Engineering
Q.31 Medium Thermodynamics
At the critical point of a substance, which of the following is true?
A Surface tension becomes zero
B Viscosity becomes infinite
C Density equals both liquid and gas density
D Compressibility factor Z = 1
Correct Answer:  A. Surface tension becomes zero
EXPLANATION

At the critical point, surface tension between liquid and gas phases vanishes because the distinction between phases disappears. The critical compressibility factor Zc ≈ 0.27 (not 1).

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Q.32 Medium Thermodynamics
A gas mixture at 298 K contains H₂ and N₂. If the mixture obeys Amagat's law and the partial volumes are equal, what is the mole fraction of H₂?
A 0.5
B 0.67
C 0.33
D 0.75
Correct Answer:  A. 0.5
EXPLANATION

Amagat's law: V_total = V_H₂ + V_N₂. If partial volumes are equal, each is 50%, so x_H₂ = 0.5

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Q.33 Medium Thermodynamics
A throttle valve is used in a refrigeration cycle. This is an example of a(n) _____ process.
A Isentropic
B Isothermal
C Adiabatic irreversible
D Isochoric
Correct Answer:  C. Adiabatic irreversible
EXPLANATION

Throttling is an adiabatic (Q=0) but irreversible process with no work done, causing entropy increase

Test
Q.34 Medium Thermodynamics
For a spontaneous process occurring at constant temperature and pressure, which condition must be satisfied?
A ΔH > 0 and ΔS > 0
B ΔG = ΔH - TΔS < 0
C ΔU < 0
D ΔS_universe = 0
Correct Answer:  B. ΔG = ΔH - TΔS < 0
EXPLANATION

For spontaneity at constant T and P: ΔG = ΔH - TΔS must be negative (ΔG < 0)

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Q.35 Medium Thermodynamics
The fugacity coefficient (φ) for an ideal gas is:
A Always 1
B Always less than 1
C Always greater than 1
D Depends on temperature only
Correct Answer:  A. Always 1
EXPLANATION

For ideal gases, f = P (fugacity equals pressure), so φ = f/P = 1. Real gases have φ ≠ 1

Test
Q.36 Medium Thermodynamics
When 100 g of ice at 0°C melts to water at 0°C at 1 atm, the entropy change is approximately (ΔH_fus = 334 J/g):
A 122 J/K
B 1.22 J/K
C 0.122 J/K
D 12.2 J/K
Correct Answer:  B. 1.22 J/K
EXPLANATION

ΔS = ΔH/T = (100×334)/273.15 ≈ 122.3 J/K = 1.223 kJ/K ≈ 1.22 J/K (in kJ/K)

Test
Q.37 Medium Thermodynamics
For an open system, the steady flow energy equation relates enthalpy rather than internal energy because:
A Enthalpy is independent of pressure
B It accounts for flow work (PV) at inlet and exit
C Enthalpy is always greater than internal energy
D Entropy remains constant
Correct Answer:  B. It accounts for flow work (PV) at inlet and exit
EXPLANATION

H = U + PV. The PV term represents flow work needed to push fluid across system boundaries in steady flow

Test
Q.38 Medium Thermodynamics
For a van der Waals gas, the critical compressibility factor (Z_c) is approximately:
A 0.27
B 1.0
C 0.5
D 0.375
Correct Answer:  D. 0.375
EXPLANATION

For van der Waals gas: Z_c = P_c V_c/(nRT_c) = 3/8 = 0.375 (theoretical value)

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Q.39 Medium Thermodynamics
The Helmholtz free energy (A = U - TS) is the maximum useful work available at:
A Constant temperature and volume
B Constant temperature and pressure
C Constant volume and entropy
D Constant pressure and entropy
Correct Answer:  A. Constant temperature and volume
EXPLANATION

Helmholtz free energy is defined at constant T and V. ΔA_max = W_useful (non-PV work)

Test
Q.40 Medium Thermodynamics
A reversible adiabatic process for an ideal gas follows PVᵞ = constant. If γ = 1.4 and initial pressure is 1 atm with volume 1 L, what is the final pressure when volume becomes 0.5 L?
A 2.64 atm
B 1.4 atm
C 2.0 atm
D 0.5 atm
Correct Answer:  A. 2.64 atm
EXPLANATION

P₁V₁ᵞ = P₂V₂ᵞ → P₂ = P₁(V₁/V₂)ᵞ = 1×(1/0.5)^1.4 = 2^1.4 ≈ 2.64 atm

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