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10 mole of ideal gas expand isothermally...

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

A

31842 kg

B

58.55 kg

C

342.58 kg

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`W = -nRT(ln P_(1)/P_(2))= -10 xx 300 xx 8.314 ln 10/1 = -57441` J
W = mgh
`rArr m = (57441)/(9.8 xx 100) = 58.6` kg
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