Heat and Thermodynamics 6 Question 20
25. $C _V$ and $C _p$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then,
(2009)
(a) $C _p-C _V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
(b) $C _p+C _V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
(c) $\frac{C _p}{C _V}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
(d) $C _p \cdot C _V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
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Answer:
Correct Answer: 25. (b, d)
Solution:
- For monoatomic gas, $C _p=\frac{5}{2} R$
and $\quad C _V=\frac{3}{2} R$
For diatomic gas, $\quad C _p=\frac{7}{2} R$
and $\quad C _V=\frac{5}{2} R$
