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Consider one mole of an ideal gas whose volume changes with temeperature as `V=(alpha)/(T)`, where `alpha` is a constant. Heat is supplied to the gas to raise its temperature by `DeltaT`. If `gamma` adiabatic constant then choose the correct options.A. The work done in the process is `RDeltaT`B. The work done in the process is `-RDeltaT`C. Change in internal energy of gas is `(RDeltaT)/(gamma-1)`D. Change in internal energy of gas is `-(RDeltaT)/(gamma-1)` |
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Answer» Correct Answer - B::C `PV=nR((alpha)/(V))` `P=(Ralpha)/(V^(2))` `W=intPdv=int_(V_(1))^(V_(2))(Ralpha)/(V^(2))dv` `=-Ralpha((1)/(V^(2))-(1)/(V_(1)))=-R(T_(2)-T_(1))=-RDeltaT` `DeltaU=(nR(T_(2)-T_(1)))/(gamma-1)=(RDeltaT)/(gamma-1)` |
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