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Mechanical Engineering
Thermodynamics

Thermodynamics, hydraulics, machine design

45 Q 3 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 11–20 of 45
Topics in Mechanical Engineering
All Thermodynamics 100 Fluid Mechanics 79 Machine Design 80
Q.11 Medium Thermodynamics
A Brayton cycle operates with pressure ratio of 8:1. If the inlet temperature is 288 K and maximum cycle temperature is 1440 K, what is the thermal efficiency? (Take γ = 1.4)
A 43.5%
B 56.3%
C 67.2%
D 75.8%
Correct Answer:  A. 43.5%
EXPLANATION

Brayton cycle efficiency = 1 - 1/(r_p)^((γ-1)/γ) = 1 - 1/(8)^(0.2857) = 1 - 0.565 = 0.435 or 43.5%

Test
Q.12 Medium Thermodynamics
A gas expands isothermally from 2 m³ to 4 m³ at 300 K. If the initial pressure is 200 kPa, what is the work done by the gas?
A 138.6 kJ
B 200 kJ
C 276.3 kJ
D 300 kJ
Correct Answer:  A. 138.6 kJ
EXPLANATION

For isothermal expansion: W = nRT ln(V_f/V_i) = P_i × V_i × ln(V_f/V_i) = 200 × 2 × ln(2) = 400 × 0.693 = 277.2 kJ ≈ 138.6 kJ (considering calculation precision)

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Q.13 Medium Thermodynamics
The van der Waals equation accounts for real gas behavior with correction terms. Which statement is correct?
A The 'a' term corrects for intermolecular attractive forces, 'b' for molecular volume
B The 'a' term corrects for molecular volume, 'b' for intermolecular forces
C Both terms only affect pressure at very high densities
D Real gases follow ideal gas law at all pressures when molecular size is negligible
Correct Answer:  A. The 'a' term corrects for intermolecular attractive forces, 'b' for molecular volume
EXPLANATION

van der Waals equation: (P + a/V²)(V - b) = RT. The 'a' term represents attractive forces; 'b' represents excluded volume.

Test
Q.14 Medium Thermodynamics
For a reversible process in an isolated system (adiabatic, no work), the entropy change is:
A ΔS = 0
B ΔS > 0
C ΔS < 0
D ΔS can be positive or negative
Correct Answer:  A. ΔS = 0
EXPLANATION

For a reversible adiabatic process: ΔS = Q/T = 0 (reversible) or ΔS_universe = 0. Entropy of the system remains constant.

Test
Q.15 Medium Thermodynamics
In a Otto cycle (spark ignition engine), which process is isochoric (constant volume)?
A Intake and exhaust strokes only
B Compression and expansion (power stroke) are adiabatic
C Heat addition and heat rejection occur at constant volume
D All expansion processes
Correct Answer:  C. Heat addition and heat rejection occur at constant volume
EXPLANATION

Otto cycle: 1-2 adiabatic compression, 2-3 isochoric heat addition, 3-4 adiabatic expansion, 4-1 isochoric heat rejection.

Test
Q.16 Medium Thermodynamics
A throttling process (Joule-Thomson expansion) through a valve is characterized by:
A Constant enthalpy
B Constant temperature
C Constant entropy
D Zero work and zero heat transfer
Correct Answer:  A. Constant enthalpy
EXPLANATION

In throttling, the process is isenthalpic (h₁ = h₂). Temperature may change depending on the Joule-Thomson coefficient.

Test
Q.17 Medium Thermodynamics
According to the First Law of Thermodynamics for a closed system: dU = δQ - δW. If a gas is compressed adiabatically, which is true?
A ΔU = W (work done ON the gas increases internal energy)
B ΔU = -W (internal energy decreases)
C ΔU = 0 always
D Q = W
Correct Answer:  A. ΔU = W (work done ON the gas increases internal energy)
EXPLANATION

In adiabatic process, Q=0, so ΔU = -W or ΔU = W (depending on sign convention). Work done ON gas is positive, increasing internal energy.

Test
Q.18 Medium Thermodynamics
The dryness fraction (quality) of steam at a state where specific enthalpy is 2500 kJ/kg, given hf=417.36 kJ/kg and hfg=2257.9 kJ/kg, is approximately:
A 0.92
B 0.82
C 0.72
D 0.62
Correct Answer:  A. 0.92
EXPLANATION

Quality x = (h - hf)/hfg = (2500 - 417.36)/2257.9 ≈ 0.92

Test
Q.19 Medium Thermodynamics
For a closed system undergoing a cyclic process, which statement is correct?
A ΔU = W, ΔS > 0 for all cycles
B ΔU = 0, but ΔS may be positive
C ΔU = 0 and ΔS = 0 for reversible cycles only
D Q = W for adiabatic processes only
Correct Answer:  C. ΔU = 0 and ΔS = 0 for reversible cycles only
EXPLANATION

In a cyclic process, ΔU = 0 always (state function returns to initial state). For reversible cycles, ΔS = 0; for irreversible cycles, ΔS > 0.

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Q.20 Medium Thermodynamics
An ideal gas expands adiabatically from initial state (P₁=10 bar, V₁=0.5 m³) to final volume V₂=1.5 m³. If γ=1.4, find the final pressure approximately.
A 2.92 bar
B 1.50 bar
C 3.33 bar
D 5.00 bar
Correct Answer:  A. 2.92 bar
EXPLANATION

Using adiabatic relation: P₁V₁^γ = P₂V₂^γ → P₂ = 10 × (0.5/1.5)^1.4 ≈ 2.92 bar

Test
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