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Question: Answered & Verified by Expert
A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 3 7 . 0 C. As it does so, it absorbs 208 J of heat.The values of q and w for the process will be 
(R = 8.314 J/mol K) (ln 7.5 = 2.01)
ChemistryThermodynamics (C)NEET
Options:
  • A q = - 2 0 8 J , = + 2 0 8 J
  • B q = + 2 0 8 J , w = + 2 0 8 J
  • C q = + 2 0 8 J , w = - 2 0 8 J
  • D q = - 2 0 8 J , w = - 2 0 8 J
Solution:
2720 Upvotes Verified Answer
The correct answer is: q = + 2 0 8 J , w = - 2 0 8 J
Since, temperature remains constant, the process will be isothermal by nature.

For Isothermal reversible expansion:

Δ E = 0 = q + w

q = - w

q = + 2 0 J       {heat absorveed so +ve}

w = - 2 0 J      {expansion so work done by system -ve}

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