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The entropy of v = 4.0 moles of an ideal...

The entropy of `v = 4.0` moles of an ideal gas increases by `Delta S = 23 J//K` due to the isothermal expansion. How many times should the volume `v = 4.0` moles of the gas be increased ?

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In an isothermal expansion
`Delta S = vR 1n (V_f)/(V_i)`
so, `(V_f)/(V_i) = e^(Delta S//VR) = 2.0` times.
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