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Figure, shows the variation of potential energy `(U)` of 2 mol of Argon gas with its density in a cyclic process `ABCA`. The gas was initiallly in the state `A` whose pressure and temperature are `P_(A)=2 atm, T_(A)=300K`, respectively. It is also stated the path `AB` is a rectangular hyperbola and the internal energy of the gas at state `C` is `3000r`. Based on the above information answer the following question `:` The heat supplied to the gas in the process `AB` isA. `700R`B. `3500R`C. `4400R`D. `1600R` |
Answer» Correct Answer - B Given `U_(C)=3000R=Nc_(v)T_(C)` `implies 3000 r = 2 XX (3)/( 2) R xx T_(C)` `implies T_(C)=1000K` Also `U_(B)=U_(C)` and `U_(A)= 2 xx(3)/(2) Rxx 300=900 R` `W_(AB)=PDeltaV=n RDeltaT` `=2 xx R(1000-300)` `=1400R` `U_(AB)=U_(B)-U_(A)=3000R-900R` `=2100R` `:. DeltaQ=DeltaW+DeltaU` `=1400R+2100R=3500R` |
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