The relation between absolute temperature (T) | vedclass

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(B) For an adiabatic process,the relation between pressure $(P)$ and volume $(V)$ is given by $PV^{\gamma} = 	ext{constant}$.From the ideal gas equat

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$P^{1-\gamma} T^{\gamma} = 	ext{constant}$

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(B) For an adiabatic process,the relation between pressure $(P)$ and volume $(V)$ is given by $PV^{\gamma} = 	ext{constant}$.From the ideal gas equation,we know that $PV = nRT$,which implies $V = \frac{nRT}{P}$.Substituting the expression for $V$ into the adiabatic equation:$P \left( \frac{nRT}{P} ight)^{\gamma} = 	ext{constant}$.Since $n$ and $R$ are constants,we can write:$P \cdot \frac{T^{\gamma}}{P^{\gamma}} = 	ext{constant}$.$P^{1-\gamma} T^{\gamma} = 	ext{constant}$.

The relation between absolute temperature $(T)$ and pressure $(P)$ of a gas in an adiabatic process is

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