During an adiabatic process,the pressure of t | vedclass

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(A) For an adiabatic process,the relationship between pressure $P$ and temperature $T$ is given by $P^{1-\gamma} T^{\gamma} = 	ext{constant}$.Given t

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$3/2$

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(A) For an adiabatic process,the relationship between pressure $P$ and temperature $T$ is given by $P^{1-\gamma} T^{\gamma} = 	ext{constant}$.Given that $P \propto T^3$,we can write $P = k T^3$,which implies $P T^{-3} = k$.Comparing $P T^{-3} = k$ with the adiabatic relation $P T^{\frac{\gamma}{1-\gamma}} = k$,we get:$\frac{\gamma}{1-\gamma} = -3$$\gamma = -3(1-\gamma)$$\gamma = -3 + 3\gamma$$2\gamma = 3$$\gamma = 3/2$.

During an adiabatic process,the pressure of the gas is found to be proportional to the cube of its absolute temperature. The ratio $C_P/C_V = \gamma$ for the gas is:

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