For a gas having molar mass M, specific heat at constant pressure per gm of gas is given by:
Correct answer: A. Cp = Cv + R/M
- 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: Cp - Cv = R and γ = Cp/Cv. Solving these equations for Cp, we derive the formula Cp = Cv + R/M. Here, R is the universal gas constant, and the division by M accounts for the conversion to specific heat per gram. The incorrect options misapply these relationships or omit necessary components like the molar mass M or the difference between Cp and Cv.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Molar Specific Heat of a Gas
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.
Practise Thermodynamics
714 free Thermodynamics MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Molar Specific Heat of a Gas questions
In a practical examination, a student has been given a task to find the specific heat of 0.5 kg of water placed at a burning burner where thermal energy of 1000 J is used to raise its temperature from 80oC to 90oC.The specific heat of water will be
If the volume of a gas is reduced to half of its original volume, then the specific heat of the gas will
If for a gas (R/Cv)=0.67 this gas is made up of molecules which are:
The average translational kinetic energy for molecule of an ideal gas is given by:
In molar specific heat, the equation Cp-Cv = R shows that:
During an adiabatic process, pressure of gas is found to be proportional to the cube of its temperature. The ratio of Cp/Cv is