For a monoatomic gas, the value of the ratio of $C_{\mathrm{P}, m}$ and $C_{v, m}$ is

For a monoatomic gas, the value of the ratio of $C_{\mathrm{P}, m}$ and $C_{v, m}$ is
  1. $5 / 3$
  2. $7 / 5$
  3. $9 / 7$
  4. $9 / 11$

Solution

$$
\text { For a monoatomic gas, } \mathrm{C}_{\mathrm{V}, \mathrm{m}}=(3 / 2) \mathrm{R} \text { and } \mathrm{C}_{\mathrm{p}, \mathrm{m}}=(5 / 2) \mathrm{R} \text { . Hence } \mathrm{C}_{\mathrm{p}, \mathrm{m}} / \mathrm{C}_{\mathrm{V}, \mathrm{m}}=5 / 3 \text { . }
$$ .

Asked in: JEE-TOPICTESTS-CHEMISTRY

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