moles of an ideal gas expand isothermallty anad reversibly from pressure of 5 atm to 1 atm at 300 K . Calculate the largest mass than can be lifted th
moles of an ideal gas expand isothermallty anad reversibly from pressure of 5 atm to 1 atm at 300 K . Calculate the largest mass than can be lifted through a height of 1 M by this expansion .
A. 4092.76 kg
B. 8730.9368 kg
C. 4492.76 kg
D. 8170.2344 kg
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Correct Answer - d
`W_(exp)=-2.303nRTlogP_(1)//P_(2)`
` 2.303xx 20 xx 8.314 JK^(-1)mol^(-1)xx300 K log 5/1`
`80.15 xx 10^(3 J)`
work done = mgh
`80.15 xx 10^(3) = m xx 9.81 ms^(-2) xx1m`
` m = (80.15xx10^(3) kgm^(2)s^(-2))/(9.81 ms ^(-2)xx1m) = 8.17023xx10^(3)`
` 8170 . 2344 kg `
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