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 5 of 5

  • A. 5/3
  • B. 8/6
  • C. 7/5
  • D. 9/7

Explanation: The value of γ (gamma) for a gas is derived from the formula γ=1+2/f, where f is the number of degrees of freedom.

Correct answer: 9/7
  • A. Thermal conductivities
  • B. Coefficients of expansion
  • C. Densities
  • D. Heat capacities

Explanation: The correct answer is that the samples have different specific heat capacities.

Correct answer: Heat capacities
  • A. Linear motion and rolling motion
  • B. rolling motion and linear motion
  • C. Linear motion and rotatory motion
  • D. rotatory motion and linear motion

Explanation: The internal energy of a monatomic gas is due to linear motion only and that of the diatomic gas is due to rolling (linear rotatory)…

Correct answer: Linear motion and rolling motion
  • A. 4RT
  • B. 5RT
  • C. 15RT
  • D. 11RT

Explanation: This is the following solution: (students must learn the formula)

Correct answer: 11RT
  • A. ∞
  • B. Zero
  • C. Finite but not zero
  • D. 0<C<∞

Explanation: The correct answer is B because in an adiabatic process, there is no heat exchange (Q = 0) between the gas and its surroundings.

Correct answer: Zero
  • A. Specefic heat
  • B. Molar specfic heat capacity at constant pressure
  • C. Molar heat capacity at constant pressure
  • D. Heat capacity at constant pressure

Explanation: The amount of heat required to raise the temperature of one mole of a substance through one Kelvin at constant pressure is "Molar heat…

Correct answer: Molar heat capacity at constant pressure
  • A. A
  • B. B
  • C. C
  • D. All have equal specefic heat

Explanation: The substance which gets heated more or under application of heat for a longer period of time, is expected to have a greater specific heat…

Correct answer: C
  • A. Cp −Cv =R
  • B. CP /Cv =γ
  • C. Cv −Cp =R
  • D. Both a and b

Explanation: Both options (a) and (b) are correct. The first one (Cp −Cv =R) represents the difference between the molar-specific heat capacities at…

Correct answer: Both a and b
  • A. 2 / 5 R
  • B. 2 / 7 R
  • C. 5 / 2 R
  • D. 7 / 2 R

Explanation: Since Cp - Cv = Rhence , X - 5/2 R = RX = 7/2 R

Correct answer: 7 / 2 R
  • A. 82.5 Cal
  • B. 80 Cal
  • C. 85.2 Cal
  • D. 58.8 Cal

Explanation: Cp and CV for a diatomic gas is 7/2 R and 5/2 R respectively. The gas's internal energy is increase by only 0.71 of the supplied energy.

Correct answer: 85.2 Cal
  • A. Diatomic
  • B. Mixture of diatomic and polyatomic
  • C. Mono atomic
  • D. Polyatomic

Explanation: The correct answer is C because a gas with (R/Cv) = 0.67 indicates that the gas behaves as a monoatomic gas.

Correct answer: Mono atomic
  • A. Be halved.
  • B. Be doubled.
  • C. Remain constant.
  • D. Vary unpredictably.

Explanation: The specific heat of a gas, defined as the amount of heat required to change the temperature of a unit mass of the gas by one degree, is a…

Correct answer: Remain constant.
  • A. 200 J/kgoC.
  • B. 100 J/kgoC.
  • C. 22.2 J/kgoC.
  • D. 11.7 J/kgoC.

Explanation: Q = mcΔTWhere: * Q = Thermal energy transferred (in Joules, J) * m = Mass of the substance (in kilograms, kg) * c = Specific heat capacity…

Correct answer: 200 J/kgoC.
  • A. Cp = Cv + R/M
  • B. Cp = R/Cv
  • C. Cp = γ * R
  • D. Cp = Cv * M

Explanation: To find the specific heat at constant pressure per gram of a gas with molar mass M, we start with the fundamental thermodynamic relations…

Correct answer: Cp = Cv + R/M
  • A. A
  • B. B
  • C. C
  • D. D

Explanation: The average translational energy of a molecule is given by the equipartition theorem as, E=3kT2 where k is the Boltzmann constant and T is…

Correct answer: A
  • A. Cp < Cv
  • B. Cp = Cv
  • C. Cp > Cv
  • D. Cp = Constant

Explanation: So, Cp is greater than Cv, and Cp - Cv = R is a representation of this relationship for ideal gases.

Correct answer: Cp > Cv
  • A. 1.5
  • B. 44319
  • C. 44257
  • D. 44289

Explanation: Answer: 1.5Given that, p∝T³ or pT^-3 = constant .....(i) Also for adiabatic process pV^Γ = constant but pV=RT (ideal gas law) or V= RT/p…

Correct answer: 1.5
  • A. 8.314 Jmol-1K-1
  • B. 8.324 Jmol-1K-1
  • C. 7.23 Jmol-1K-1
  • D. 1.00 Jmol-1K-1

Explanation: The correct value of the universal gas constant is 8.314 J/mol·K, which is used in the ideal gas law equation PV=nRT.

Correct answer: 8.314 Jmol-1K-1