The expression, Cp - R is equal to:
Correct answer: A. Cv
- 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. The equation Cp - R = Cv is derived from the relationship between the specific heats of gases. Specifically, for an ideal gas, the specific heat at constant pressure (Cp) is always greater than the specific heat at constant volume (Cv) by the gas constant R. Thus, when we subtract R from Cp, we arrive at Cv. The other options are incorrect because:Option B (R) is not equal to Cp - R; R is a separate constant.Option C (Cp - Cv) is not equal to Cp - R; rather, Cp - Cv equals R, which is a different relationship.Option D (R + Cv) is also incorrect; it does not derive from the relationship we are examining.Understanding these relationships is crucial in thermodynamics, particularly when dealing with ideal gases.
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
An ideal gas has molar specific heat Cp at constant pressure. When the temperature of n moles is increased by AT the increase in the internal energy is:
If Cp = 20 J/mol.K then for 1 mole gas we get Cv= _. You can use Cp/Cv = 1.7.
Molar heat capacity at constant volume is given by:
If Cv denotes molar specific heat at constant volume and △T is the change in temperature, then CvΔT gives:
The ratio of molar specific heat of a gas at constant pressure to its molar specific heat at constant volume is:
Specific heat capacity of a gas is measured in: