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5 moles of an ideal gas expand isotherma...

5 moles of an ideal gas expand isothermally and reversible from a pressure of 10 atm to 2 atom at 300K. What is the largest mass which can be lifted through a height of 1 metre in this expansion?

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`w_(exp) = - 2.303 nRT log.(P_(1))/(P_(2))= -2.303 ( 10 mol) xx( 8.314 JK^(-1) mol^(-1)) ( 300 K ) log. ( 5)/(1) = - 40.15 xx 10^(3)J`
If M is the mass that can be lifted by this work ,through a height of 1metre, then work done `=` Mgh
` 40.15xx 10^(3)J= Mxx9.81 m s^(-2) xx 1m`
or ` M =( 40.15 xx10^(3) kg m^(2) s^(-2))/( 9.18 ms^(-2)xx 1 m ) (J = kg m^(2) s^(-2))`
`= 4092 .76 kg`
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