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Expansion of a gas in a vacuum is called free expansion. Calculate the work done and the change in internal energy when 1 litre of ideal gas expands isothermally into vacuum until its total volume is 5 litre?

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Free expansion is known as the expansion of gas in vacuum. The equation can be written as

(-w)=p(V_{2}-V_{1})=0\times (5-1)=0

q =0, when we consider isothermal expansion.

Referring to the first law of thermodynamics we have

q=\Delta U+(-w)

0=\Delta U+0

Hence, \Delta U=0

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