Free Molar Specific Heat of a Gas MCQs with Answers
98 Molar Specific Heat of a Gas MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.
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98 questions · page 3 of 5
- A. 935J
- B. 934J
- C. 967J
- D. 954J
Explanation: Given: Mass = m = 0.02 kg Temperature = ∆T = 45°CSolution: n = m/M = 20/28 = 0.714 mol Cp = 7/2 R = 7/2 × 8.3 = 29.05 J/mol.KAs we know…
Correct answer: 934J- A. 4/3
- B. 2
- C. 5/3
- D. 3/2
Explanation: PV=nRT P∝T^3 P∝(PV)^3 k= P^2 V^3 PV^3/2 ; k = 3/2
Correct answer: 3/2- A. A2/3Q
- B. B1/3Q
- C. CQ/2
- D. D2Q/5
Explanation: ΔU = nCV ΔTΔQ = nCP ΔTHence (ΔU / ΔQ) = (CV / CP)For monoatomic gas, (CP / CV) = (5/3)∴ (ΔU / ΔQ) = (3/5) i.e.
Correct answer: D2Q/5- A. Solid > gas > liquid
- B. Gas > liquid > solid
- C. Solid > liquid > gas
- D. Gas > solid < liquid
Explanation: Solids have the greatest fraction of internal energy due to molecular vibration, followed by liquids and then gases.
Correct answer: Solid > liquid > gas- A. Transition only
- B. Translational and rotation only
- C. Translation and vibrational only
- D. Translation, rotation, and vibrational
Explanation: The total molar specific heat for a diatomic gas includes contributions from both translational and rotational degrees of freedom, while…
Correct answer: Translation, rotation, and vibrational- A. 0.7524𝐽
- B. 7524𝐽
- C. 95.24𝐽
- D. 752.4𝐽
Explanation: We use the formula E= nC x (change in temperature) i.e 10 x 75.24 x 10 = 7524 J
Correct answer: 7524𝐽- A. Zero
- B. Infinite
- C. Negative
- D. Remains constant
Explanation: The specific heat of a gas in an adiabatic process is zero because there is no external pressure for the gas to expand against, the work…
Correct answer: Zero- A. dQ/dV
- B. dQ/dT
- C. dU/dT
- D. dU/dV
Explanation: Heat capacity is the amount of heat added to a substance to raise its temperature by one kelvin.
Correct answer: dQ/dT- A. R/3
- B. 3/2 R
- C. 2R
- D. 3R
Explanation: Cp-Cv=nR Where n= no. of moles, hence Cp-Cv=3R making D the correct option.
Correct answer: 3R- A. He
- B. Ar
- C. Aluminium
- D. Neon
Explanation: For aluminum, the difference between Cp and Cv is relatively small because the metal has a high bulk modulus, which means that it is…
Correct answer: Aluminium- A. dQ/dN
- B. dQ/dP
- C. dU/dT
- D. dU/dV
Explanation: c) dU/dT: This expression represents the change in internal energy (U) per change in temperature (T) of a substance.
Correct answer: dU/dT- A. 10.6 J/Kmole
- B. 2.7 J/Kmole
- C. 13 J/Kmole
- D. 11.7 J/Kmole
Explanation: Cp/Cv=1.7 and Cp=20, then Cv =20/1.7=11.76 J/Kmole
Correct answer: 11.7 J/Kmole- A. nCp △T
- B. n(Cp + R) △T
- C. n(Cp - R) △T
- D. n(2Cp + R) △T
Explanation: This is the correct option. It represents the increase in internal energy of an ideal gas when the temperature is increased by ΔT\Delta…
Correct answer: n(Cp - R) △T- A. Cv
- B. R
- C. Cp - Cv
- D. R + Cv
Explanation: The correct answer is Cv, as it represents the specific heat at constant volume.
Correct answer: Cv- A. Volume
- B. Pressure
- C. Entropy
- D. Internal energy
Explanation: Internal energy Explanation: The change in internal energy (ΔU) of an ideal gas at constant volume is given by ΔU = nCvΔT, where n is the…
Correct answer: Internal energy- A. Equal to minus one
- B. Equal to zero
- C. Greater than one
- D. Less than one
- E. Equal to one
Explanation: The ratio of molar specific heat at constant pressure (Cp) to molar specific heat at constant volume (Cv) for an ideal gas is given by: γ…
Correct answer: Greater than one- A. J.kg K-1
- B. J.kg2 K
- C. J.kg-1 K-1
- D. J.kg-1.K
- E. J.Kg.K
Explanation: Specific heat capacity of a gas is measured in J.kg-1 K-1 . So the correct option is C.
Correct answer: J.kg-1 K-1- A. J kg^-1 K^-1
- B. J Kg
- C. J kg-1 C
- D. Jg-1 C-1
Explanation: The SI unit of specific heat capacity is J kg^-1 K^-1.
Correct answer: J kg^-1 K^-1- A. 935J
- B. 934J
- C. 967J
- D. 954J
Explanation: Mass of nitrogen, m = 0.02 kg = 2×10-2×103Rise in temperature, ΔT=45oCMolecular mass of N2 ,M=28Universal gas constant, R=8.3J/molKNumber…
Correct answer: 934J- A. R/3
- B. 3/2 R
- C. 2R
- D. 3R
Explanation: Cp-Cv=nRWhere n= no. of moles, henceCp-Cv=3R making D the correct option.
Correct answer: 3R