A diatomic gas does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is

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Solution

Q.
A diatomic gas $(γ = 1.4)$ does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is [2024]

1 850 J

2 800 J

3 600 J

4 700 J

Ans.
(4)

   $Q = P ∆ V + n C_{V} ∆ T$

$= P ∆ V + n \frac{R}{(γ - 1)} ∆ T = P ∆ V + \frac{P ∆ V}{γ - 1}$

$= P ∆ V (1 + \frac{1}{γ - 1})$

   $= 200 (1 + \frac{1}{0.4})$

   $200 \times 3.5 = 700$ $J$

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