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:

  1. 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 $\quad C _V=\frac{5}{2} R$



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