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10 mole of ideal gas expand isothermally...

10 mole of ideal gas expand isothermally and reversibly from a pressure of `05atm` to `1atm` at `300K`. What is the largest mass which can lifted through a height of `1` meter? (g= 9.8 ms^(-2)

A

4000 kg

B

4091.23 kg

C

3424.58 kg

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`w=-nRTln.(P_(1))/(P_(2))`
`=-10xx8.314 xx300ln.(10)/(1)`
`=-57441.42 J`
`w=-mgh`
`therefore mxx9.81 xx100=57441.42`
`m=58.55 kg`
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