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Manipal MET2016PhysicsKinetic Theory of Gases

The molar specific heat of oxygen at constant pressure C_p=7.03 cal / mol ^ C and R=8.31 ~J / mol ^ C . The amount of heat taken by 5 moles of oxygen when heated at constant volume from 10^ C to 20^ C will be approximately.

Options

  1. A25 cal
  2. B50 cal
  3. C253 cal
  4. D500 cal

Correct answer

C. 253 cal

Step-by-step solution

Given, C_p=7.03 cal / mol ^ C , R=8.315 / mol ^ C , gathered n=5 moles, T₂=20^ C , T₁=10^ C , Q=? gathered Heat, Q=n C_V T=n (C_p-R ) T [ C_p-C_V=R ] aligned & =5 [7.03- 8.31 4.2 ] (20-10) & =253 cal aligned

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