One mole of an ideal gas with the adiabatic exponent `gamma` goes through a polytropic process as a result of which the absolute temperature of the gas increases `tau-fold`. The polytropic constant equal `n`. Find the entropy increment of the gas in this process.

One mole of an ideal gas with the adiabatic exponent `gamma` goes thro

1.	One mole of an ideal gas with the adiabatic exponent `gamma` goes through a polytropic process as a result of which the absolute temperature of the gas increases `tau-fold`. The polytropic constant equal `n`. Find the entropy increment of the gas in this process.
Answer» For the polytropic process with index `n` `p V^n = constant` Along this process (Sec 2.122) `C = R((1)/(gamma -1) -(1)/(n - 1)) = (n - gamma)/((gamma -1)(n - 1)).R` So `Delta S = int _(T_0)^(tau_(T_0)) C (dT)/(T) = (n - gamma)/((gamma - 1)(n - 1)) R 1n tau`.

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One mole of an ideal gas with the adiabatic exponent `gamma` goes through a polytropic process as a result of which the absolute temperature of the gas increases `tau-fold`. The polytropic constant equal `n`. Find the entropy increment of the gas in this process.

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