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Two moles of an ideal gas at 2 atmand `27^(@)C` are compressed isothermally to half the volume by an external pressure of4 atm. Calculate w, q and `DeltaU`.

Answer» Correct Answer - `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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