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A gas occupies 2 litres at STP. It is provided 58.63 joule heat so that its volume becomes 2.5 litre at 1 atm. Change in its internal energy in joules is

Options

  1. A8.63
  2. B7.62
  3. C12.9
  4. D5.54

Correct answer

A. 8.63

Step-by-step solution

Work is done by a system irreversibly ( W sys ) = - P ext ∆ V ⇒ ( W sys ) = - ( 1 × 10 5 ) N / m 2 × ( 2 . 5 - 2 ) × 10 - 3 m 3 = 50 From 1st Law of Thermodynamics: ∆ U = w sys + q sys ∆ U = - 50 + 58 . 63 J = 8 . 63 J

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