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Two moles of an ideal gas at 2atm and 27...

Two moles of an ideal gas at `2atm` and `27^(@)C` is compressed isothermally to one-half of its volume by an external pressure of `4atm`. Calculate `q,w`, and `DeltaU`.

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The correct Answer is:
`w= 5150J,Delta U =0, q = - 5150J`
`V_("initial")= (nRT)/(P) = (2 mol xx 0.0821 L atm K^(-1) mol^(_1) xx 300 K)/(2 atm) =25.42 L, V_("final") = (25.42)/(2) = 12.71L`
`:. w = -P_(ext) DeltaV=- 4 atm xx ( 12.71 -25.42) L= 4 xx 12.71 L atm = 50.84 Latm=50.84 xx 101.3 J= 5150 J`
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