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Work done by 3 mol of an ideal in an iso...

Work done by 3 mol of an ideal in an isothermal reversible expansion of `30^(@)C` is 9.5 kJ. If the initial volume of the gas is 20 L, then what will be the final volume of the gas?

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Work done by an ideal gas in an isothermal reversible expansion, `w=-nRT"ln"(V_(2))/(V_(1))`. As per given data, n=3,
`T=(273+30)K=303K and w=-9.5kJ=-9500J`.
Initial volume of the gas, `V_(1)=20L`, final volume, `V_(2)=?`
`therefore -9500=-3xx8.314xx303"ln"(V_(2))/(20)or,V_(2)=70.3J`
`therefore`After expansion, the final volume of the gas=70.3L.
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