1.

During reversible adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature.The ratio (C_(p))/(C_(v)) for the gas is

Answer»

`3/2`
`7/2`
`5/3`
`9/7`

Solution :According to the PROBLEM,
`P infty T^(3)` or `P = KT^(3) or PT^(-3) = K` ....(i)
For a reversible adiabatic process.
`T^(GAMMA) P^(1-gamma) = k`
`(gamma)/(T^(1 - gamma)) P = k`...(II)
Compairing eq.(i) and (ii)
`(gamma)/(1 - gamma) = -3` or `gamma = -3 + 3gamma`
or `-2gamma = -3 or gamma = 3/2`.


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