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When gas is given heat Δ Q , a part of heat energy is utilized into work done W by gas and the remaining part is utilized to change in internal energy. An ideal diatomic gas is heated at constant pressure, the ratio of the internal energy change to heat energy supplied, is

Options

  1. A3 7
  2. B2 5
  3. C5 7
  4. D3 5

Correct answer

C. 5 7

Step-by-step solution

Fraction of supplied energy which increases the internal energy is given by f = Δ U Δ Q p = μ C V Δ T μ C P Δ T = 1 γ [here, according to definition of sp. Heat at constant pressure Δ Q p = c = n C P Δ T ] For diatomic gas γ = 7 5 ⇒ f = 5 7

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