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A total of 48 ~J heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by 2^ C . The work done by the gas is: Given, R =8.3 ~J ~K ⁻¹ ~mol ⁻¹ .

Options

  1. A24.9 ~J
  2. B72.9 ~J
  3. C48 ~J
  4. D23.1 ~J

Correct answer

D. 23.1 ~J

Step-by-step solution

1^ st law of thermodynamics aligned & Q = U + W & +48= nC _ v T + W & 48=(1) ( 3 R 2 )(2)+ W & W =48-3 R & W =48-3 (8.3) & W =23.1 Joule aligned

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