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

Question

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]

Smart Achievers · Accepted Answer

(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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