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

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$1.5$

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(C) For an adiabatic process,the relationship between pressure $P$ and temperature $T$ is given by $P^{1-\gamma} T^{\gamma} = 	ext{constant}$,which can be rewritten as $P T^{\frac{\gamma}{1-\gamma}} = 	ext{constant}$.Given that $P \propto T^3$,we have $P T^{-3} = 	ext{constant}$.Comparing the exponents of $T$,we get $\frac{\gamma}{1-\gamma} = -3$.Solving for $\gamma$:$\gamma = -3(1-\gamma)$$\gamma = -3 + 3\gamma$$2\gamma = 3$$\gamma = \frac{3}{2} = 1.5$.Since $\gamma = \frac{C_P}{C_V}$,the ratio is $1.5$.

During an adiabatic process,the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\frac{C_P}{C_V}$ for the gas is

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