The equation of state for a gas is given by `PV = eta RT + alpha V`, where `eta` is the number of moles and `alpha` a positive constant. The intinal pressure and temperature of 1 mol of the gas contained in a cylinder is `P_(0)` and `T_(0)`, respectively. The work done by the gas when its temperature doubles isobarically will beA. `(P_(0)T_(0)R)/(P_(0) - alpha)`B. `(P_(0)T_(0)R)/(P_(0) + alpha)`C. `P_(0)T_(0)R In 2`D. None of these

The equation of state for a gas is given by `PV = eta RT + alpha V`, w

1.	The equation of state for a gas is given by `PV = eta RT + alpha V`, where `eta` is the number of moles and `alpha` a positive constant. The intinal pressure and temperature of 1 mol of the gas contained in a cylinder is `P_(0)` and `T_(0)`, respectively. The work done by the gas when its temperature doubles isobarically will beA. `(P_(0)T_(0)R)/(P_(0) - alpha)`B. `(P_(0)T_(0)R)/(P_(0) + alpha)`C. `P_(0)T_(0)R In 2`D. None of these
Answer» Correct Answer - A `DeltaW = PDeltaV [PV=mu RT+alphaV]` `P_(0)[(muRDeltaT)/(P_(0)-alpha)]=:. PDeltaT = mu RT+alphaDeltaT` or `DeltaV = (muRDeltaT)//(P-alpha)]` `i.e., DeltaW = (P_(0)RT_(0))/(P_(0)-alpha) [mu-1]`.

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