A diatomic gas does 100 J of work in an isobaric expansion. The heat given to the gas is

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Solution

Q.
A diatomic gas $(γ = 1.4)$ does 100 J of work in an isobaric expansion. The heat given to the gas is [2024]

1 150 J

2 250 J

3 490 J

4 350 J

Ans.
(4)

   $W = 100$ $J$

   $∆ Q = n C_{p} ∆ T = n (\frac{7 R}{2}) ∆ T = \frac{7}{2} n R ∆ T$

   $P V = n R T \Rightarrow P ∆ V = n R ∆ T =$ work done (W)

   $∆ Q = \frac{7}{2} n R ∆ T = \frac{7}{2} W$

$∆ Q = \frac{7}{2} \times 100 = 350$ $J$

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