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 4 of 5
- A. 82.5 Cal
- B. 80 Cal
- C. 85.7 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: 85.7 Cal- A. 7/3
- B. 5/4
- C. 19/13
- D. 15/19
Explanation: The ratio of specific heats, γ, is given by the formula γ = Cp/Cv. For a mixture of gases, this is calculated using:γ = (n1Cp1 + n2Cp2 +…
Correct answer: 19/13- A. 60 J
- B. 30 J
- C. 45 J
- D. 120 J
Explanation: The correct answer is 120 J. In thermodynamics, when a triatomic gas expands under constant pressure, the heat supplied to the gas (Q) is…
Correct answer: 120 J- A. 3/2
- B. 23/15
- C. 19/13
- D. 4/3
Explanation: To find the effective gamma (γ) for the mixture, use the formula for the mixture of gases: γmix = (n1γ1 + n2γ2) / (n1 + n2), where n1 and…
Correct answer: 19/13- A. 15/11
- B. 17/11
- C. 13/11
- D. None
Explanation: To find the Cp/Cv (gamma, γ) for the mixture, consider the specific heat capacities for the individual gases:For a monoatomic gas, γ =…
Correct answer: 17/11- A. 75 J
- B. 100 J
- C. 150 J
- D. 125 J
Explanation: This is the following solution: (this formula must be memorised by the students because other questions may come following the same…
Correct answer: 100 J- A. 6R/19
- B. 13R/6
- C. 6R/13
- D. 19R/6
Explanation: To find the molar heat capacity of the mixture at constant pressure (Cp), we use the formula for the molar heat capacity of a…
Correct answer: 19R/6- A. 75 J
- B. 100 J
- C. 150 J
- D. 125 J
Explanation: According to the first law of thermodynamics, the change in internal energy (ΔU) is equal to the heat absorbed (Q) minus the work done…
Correct answer: 100 J- A. R
- B. 3/2R
- C. 2R
- D. 2.5R
Explanation: To find the molar specific heat at constant volume (Cv) for the mixture, we take the average of the Cv values of the monoatomic and…
Correct answer: 2R- A. 40
- B. 40.4
- C. 40.2
- D. 40.80
Explanation: Option A is correct.We know that:M=Cv/SV = 3*2/2\0.075 =40we know that CV=3/2R
Correct answer: 40- A. 28 K
- B. 20 K
- C. 15 K
- D. 10 K
Explanation: Option A is correct.Given data: For diatomic Cp/Cv=7/5Find out:∆T2 =?We know that For gas in cylinder A, Q=nCp∆T1For gas in cylinder B…
Correct answer: 28 K- A. 3/2R
- B. 7/2R
- C. 5/2R
- D. 9/2R
Explanation: The correct answer is Option C: 5/2R. This value is derived from the fact that diatomic gases have translational and rotational degrees of…
Correct answer: 5/2R- A. Entropy
- B. General gas constant
- C. Internal energy
- D. Pressure
Explanation: The correct answer is General gas constant because the unit of molar specific heat is Joules per Kelvin per mole (J/K·mol), which is the…
Correct answer: General gas constant- A. 3/2
- B. 5/3
- C. 3/5
- D. 3/4
Explanation: The correct answer is B: γ = 5/3. For a monoatomic gas, the specific heat capacity at constant volume (Cv) is 3R/2, and at constant…
Correct answer: 5/3- A. ∆U=CV∆Q
- B. ∆U=CV∆T
- C. ∆T=CV∆U
- D. ∆U=Cp∆T
Explanation: In thermodynamics, when an ideal gas is heated at constant volume, the work done on the system is zero because the volume does not change.
Correct answer: ∆U=CV∆T- A. Cp=Qp/∆T
- B. Cp=T/∆Qp
- C. Cp=∆T/Qp
- D. Cp=Qp x T
Explanation: The expression Cp = Qp / ∆T is the correct mathematical representation of molar specific heat at constant pressure.
Correct answer: Cp=Qp/∆T- A. Translatory
- B. Rotatory
- C. Vibratory
- D. None of these
Explanation: In a monoatomic gas, such as noble gases like helium, neon, argon, etc., the gas molecules consist of single atoms that are not bonded to…
Correct answer: Translatory- A. Infinity
- B. Negative
- C. Zero
- D. Remains constant
Explanation: Given the process is isothermal which means it's temperature won't increase i.e. ∆T = 0.
Correct answer: Infinity79. Which of the substances A, B or C has the highest specefic heat? The temperature vs heat graph is:
- A. A
- B. B
- C. C
- D. All have equal specefic heats
Explanation: Specific heat capacity is inversely proportional to the change in temperature.
Correct answer: C- A. γ=Cp/Cγ
- B. γ=Cγ/Cp
- C. γ=Cp- Cγ
- D. γ=CpCγ
Explanation: The equation PVγ=Constant is derived from the first law of thermodynamics for an adiabatic process.
Correct answer: γ=Cp/Cγ