A diatomic gas,

Question:

A diatomic gas, having $C_{p}=\frac{7}{2} R$ and $C_{v}=\frac{5}{2} R$, is heated at constant pressure. The

ratio $\mathrm{dU}: \mathrm{dQ}: \mathrm{dW}$

  1. 03:07:02

  2. $05: 07: 02$

  3. $05: 07: 03$

  4. 03:05:02


Correct Option: , 2

Solution:

(2)

$C_{p}=\frac{7}{2} R$

$C_{v}=\frac{5}{2} R$

$d U=n C_{\mathrm{v}} d T$

$d Q=n C_{p} d T$

$d W=n R d T$

$d U: d Q: d W$

$C_{v}: C_{p}: R$

$\frac{5}{2} R: \frac{7}{2} R: R$

5: $7: 2$

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