The relation between volume (V) and absolute | vedclass

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(D) An adiabatic process is a thermodynamic process in which there is no exchange of heat between the system and its surroundings $(dQ = 0)$.For an id

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$TV^{\gamma-1} = 	ext{constant}$

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(D) An adiabatic process is a thermodynamic process in which there is no exchange of heat between the system and its surroundings $(dQ = 0)$.For an ideal gas undergoing a reversible adiabatic process,the relationship between pressure $(P)$ and volume $(V)$ is given by $PV^{\gamma} = 	ext{constant}$,where $\gamma$ is the adiabatic index (ratio of specific heats $C_p/C_v$).Using the ideal gas law $PV = nRT$,we can express pressure as $P = \frac{nRT}{V}$.Substituting this into the adiabatic equation: $(\frac{nRT}{V})V^{\gamma} = 	ext{constant}$.Since $nR$ is a constant,we get $T V^{\gamma-1} = 	ext{constant}$.

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

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