Which of the following statements is correct?

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(D) The specific heat capacity at constant pressure $(C_p)$ is given by $C_p = \frac{\gamma R}{M(\gamma - 1)}$.For $He$ (monatomic),$\gamma = 1.66$ an

Vedclass · Accepted Answer

None of these.

Vedclass · Answer

(D) The specific heat capacity at constant pressure $(C_p)$ is given by $C_p = \frac{\gamma R}{M(\gamma - 1)}$.For $He$ (monatomic),$\gamma = 1.66$ and $M = 4 \ g/mol$.For $H_2$ (diatomic),$\gamma = 1.4$ and $M = 2 \ g/mol$.Calculating $C_p$ for $He$: $C_p = \frac{1.66 	imes R}{4 	imes 0.66} \approx 0.63R$.Calculating $C_p$ for $H_2$: $C_p = \frac{1.4 	imes R}{2 	imes 0.4} = 1.75R$.Calculating $C_v$ for $H_2$: $C_v = \frac{R}{M(\gamma - 1)} = \frac{R}{2 	imes 0.4} = 1.25R$.Comparing these values,none of the given statements are correct.

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