10 mole 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?

31842 kg

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58.55 kg

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342.58 kg

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None of these

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Solution

The correct option is B 58.55 kg
Work done $W = - n R T l n \frac{P_{1}}{P_{2}} =$

$- 2.303 \times 10 \times 8.314 \times 300 l o g \frac{10}{1} = 57441.426 J$

$W = m g h \Rightarrow 57441 = m \times 9.8 \times 100 \Rightarrow m = \frac{57441}{9.8 \times 100} = 58.61 k g$

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10 mole 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?

The correct option is B 58.55 kgWork done W=−nRTlnP1P2=−2.303×10×8.314×300log101=57441.426JW=mgh⇒57441=m×9.8×100⇒m=574419.8×100=58.61kg

The correct option is B 58.55 kg
Work done $W = - n R T l n \frac{P_{1}}{P_{2}} =$

$- 2.303 \times 10 \times 8.314 \times 300 l o g \frac{10}{1} = 57441.426 J$

$W = m g h \Rightarrow 57441 = m \times 9.8 \times 100 \Rightarrow m = \frac{57441}{9.8 \times 100} = 58.61 k g$