Free Molar Specific Heat of a Gas MCQs with Answers

• A. 24.9 J/mol·K
• B. 12.9 J/mol·K
• C. 15 J/mol·K
• D. 16 J/mol·K

Explanation: For a non-linear polyatomic gas, there are 3 translational and 3 rotational degrees of freedom (f=6).

• A. Diatomic
• B. Mixture of diatomic and polyatomic
• C. Monoatomic
• D. Polyatomic

Explanation: Ratio R/Cv is related to degrees of freedom (f) by Cv = (f/2)R, so R/Cv = 2/f.

• A. ∞
• B. Zero
• C. Finite but not zero
• D. 0 < C < ∞

Explanation: This question is conceptually tricky. Specific heat is a property of a substance, but in an adiabatic process, heat transfer Q is zero by…

• A. Entropy
• B. General gas constant
• C. Internal energy
• D. Pressure

Explanation: Unit for molar specific heat (C) is J/mol·K. The unit for the general gas constant (R) is also J/mol·K, as seen in the ideal gas law.

• A. 5R/2
• B. 3R/2
• C. 7R/2
• D. R

Explanation: For a diatomic gas, Cv = 5R/2. Using the relation Cp = Cv + R, we get Cp = (5R/2) + R = 7R/2, where R is the gas constant.

• A. Zero
• B. Infinite
• C. Cᵥ
• D. Cₚ

Explanation: In an isobaric process, pressure is constant, and the specific heat capacity used is Cp (specific heat at constant pressure), which…

• A. R
• B. 3R/2
• C. 5R/2
• D. 7R/2

Explanation: For a monoatomic gas, with three translational degrees of freedom, the molar specific heat at constant volume is Cv = (3/2)R, where R is…

• A. Its mass only
• B. Its temperature only
• C. Its material properties
• D. Its volume only

Explanation: Specific heat capacity is an intrinsic property of a material, varying based on its chemical composition and structure, not on mass…

• A. nCvΔT
• B. nCpΔT
• C. PΔV
• D. Zero

Explanation: Internal energy change for an ideal gas depends only on temperature, ΔU = nCvΔT, regardless of the process.

• A. Cp = Cv
• B. Cp = Cv + R
• C. Cp = Cv - R
• D. Cp = 2Cv.

Explanation: For an ideal gas, molar specific heat at constant pressure is related to that at constant volume by Cp = Cv + R, where R is the gas…

• A. Carnot engine
• B. Molar specific heat
• C. Kinetic specific heat
• D. General gas law
• E. Boyle's law

Explanation: Specific heat is the amount of heat needed to raise the temperature of one kilogram of mass by 1 degree.

• A. Specific latent heat
• B. Heat capacity
• C. Molar specific heat
• D. Specific heat capacity

Explanation: Molar specific heat capacity is the heat energy required to raise the temperature of 1 mole of a substance by.

• A. H2
• B. He
• C. CH2
• D. Mixture of H2 and He

Explanation: The correct answer is hydrogen gas (H2) because it is a diatomic molecule that adheres to the equation P^y = T^z, where y = 4 and z = 1…

• A. 3 / 2
• B. 1 / 2
• C. 4 / 2
• D. None

Explanation: The molar specific heat capacity of a gas at constant volume (Cv) is the amount of heat required to raise the temperature of 1 mole of the…

• A. Cp = Cv
• B. None of these
• C. Cp > Cv
• D. Cv > Cp

Explanation: CV is the specific heat at constant volume, and CP is the specific heat at constant pressure.When a gas is heated at a constant volume…

• A. 0.8
• B. 1.29
• C. 1.42
• D. 1.66

Explanation: The ratio of the specific heats γ=CP/CV is a factor in adiabatic engine processes and in determining the speed of sound in a gas.This…

• A. PV=nRT
• B. Cp-Cv=R
• C. Cp/Cv=R
• D. W= F.d

Explanation: All of the other options have formulae that are correct. Cp-Cv=R indicates the relationship of specific heat constants with a gas.

• A. 3/2R
• B. 2R
• C. 2/3R
• D. 3R

Explanation: The amount of energy required to raise the temperature of gas through 1°C /1 K at constant pressure is greater than the amount of energy…

• A. ΔU + Cv = ΔT
• B. ΔU = Cv-ΔT
• C. ΔU = CvΔT
• D. ΔU=Cv+ΔT

Explanation: Isochoric Process:The thermodynamics process during which the volume of the system remains constant is called isochoric process.As the…

• A. More for (i)
• B. More for (ii)
• C. Same for both
• D. Independent of the number of moles

Explanation: Change in internal energy will be ΔU = nCvΔT for both process (at constant volume and constant pressure).