Find the entropy increment of `v = 2.0` moles of an ideal gas whose adiabatic exponent `gamma = 1.30` if, as a result of a certain process, the gas volume increased `alpha = 2.0` times while the pressure dropped `beta = 3.0` times.

Explanation

The entropy change depends on the initial and final state only so can be calculated for any process whatsoever.
We choose to evaluate the entropy change along the pair of lines shown above. Then
`Delta S = int_(T_0)^((T_0)/(beta)) (v C_v dT)/(T) + int_((T_0)/(beta))^((alpha T_0)/(beta)) v C_p (dT)/(T)`
=`(- C_v 1n beta + C_p 1n alpha) v = (vR)/(gamma -1)(gamma 1n alpha - 1n beta) ~~ -11 ("Joule")/(.^@K)`.
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