Physics · Law of equipartition of energy and applications to specific heat capacities of gases
Assertion is always greater than in gases. Reason Work done at constant pressure
Assertion \( C_{P} \) is always greater than \( C_{V} \) in gases. Reason Work done at constant pressure is more than at constant volume.
- A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
- C. Assertion is correct but Reason is incorrect.
- D. Both Assertion and Reason are incorrect.
Step-by-step solution
The assertion is correct: for gases, C_P > C_V because at constant pressure, heat added does external work in addition to increasing internal energy, while at constant volume, no work is done. The reason states that work done at constant pressure is more than at constant volume, which is true (at constant volume, work is zero). This difference in work directly explains why more heat is needed at constant pressure to achieve the same temperature rise, making C_P greater than C_V. Hence, the reason correctly explains the assertion.
Related MCQs
- If for a gas then the gas is made up of molecules which are :…
- The quantity represents (where internal energy of gas…
- Assertion Vibrational energy of diatomic molecule corresponding to each degree of freedom is Reason For every molecule, vibrational degree o…
- Assertion In the formula the term represents translational kinetic energy per unit volume of gas. Reason In case of monoatomic gas translati…
- 5 kilomoles of oxygen is heated at constant pressure. The temperature of the oxygen gas is increased from to 305 K. If the molar heat capaci…