A diatomic gas (gamma=1.4) does 200 mathrm{~J} of work when it is expanded isobarically. heat given

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11.Thermodynamics

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A diatomic gas $(\gamma=1.4)$ does $200 \mathrm{~J}$ of work when it is expanded isobarically. The heat given to the gas in the process is:

A

$850 \mathrm{~J}$

B

$800 \mathrm{~J}$

C

$600 \mathrm{~J}$

D

$700 \mathrm{~J}$

(JEE MAIN-2024)

Solution

$\gamma=1+\frac{2}{f}=1.4 \Rightarrow \frac{2}{f}=0.4$

$\Rightarrow f=5$

$W=n R \Delta T=200 J$

$Q=\left(\frac{f+2}{2}\right) n R \Delta T$

$=\frac{7}{2} \times 200=700 J$

Standard 11

Physics

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