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99 Percentile Qs Bank for JEE MainChemistryThermodynamics (C)

10 moles of ideal gas expand isothermally and reversibly from a pressure of 10   atm to 1   atm at 300   K . What is the largest mass which can be lifted through a height of 100 meter?

Options

  1. A31842   kg
  2. B58 . 55   kg
  3. C342 . 58   kg
  4. DNone of these

Correct answer

B. 58 . 55   kg

Step-by-step solution

Work   done ,   w = - nRTln P 1 P 2 = - 10 × 8 . 314 × 300 ln 10 1 = - 57441 . 42   J w = - mgh ∴ m × 9 . 81 × 100 = 57441 . 42 ⇒   m = 58 . 55   kg

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