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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 :

Options

  1. A850 J
  2. B800 J
  3. C600 J
  4. D700 J

Correct answer

D. 700 J

Step-by-step solution

For degree of freedom, we can write γ = 1 + 2 f = 1 . 4 ⇒ 2 f = 0 . 4 ⇒ f = 5 For isobaric process, W = nR Δ T = 200 J . Now, we can write Q = f + 2 2 nRΔT = 7 2 × 200 = 700 J

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