JEE Mains · Physics · STD 11 - 11. thermodynamics
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 \(700 \mathrm{~J}\)
Answer & Solution
Correct Answer
(D) \(700 \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
\(\gamma=1+\frac{2}{f}=1.4 \Rightarrow \frac{2}{f}=0.4\) \(\Rightarrow f=5\) \(W=n R \Delta T=200 J\) \(Q=\left(\frac{f+2}{2}\right) n R \Delta T\) \(=\frac{7}{2} \times 200=700 J\)
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