Given the relation V = K left( frac{P}{T} rig | vedclass

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(C) From the ideal gas law,we know that $PV = nRT$,which implies $\frac{P}{T} = \frac{nR}{V}$.Substituting this into the given equation $V = K \left(

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isochoric process

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(C) From the ideal gas law,we know that $PV = nRT$,which implies $\frac{P}{T} = \frac{nR}{V}$.Substituting this into the given equation $V = K \left( \frac{P}{T} ight)^{0.33}$,we get:$V = K \left( \frac{nR}{V} ight)^{0.33}$$V = K (nR)^{0.33} \cdot V^{-0.33}$Multiplying both sides by $V^{0.33}$,we get:$V^{1.33} = K' 	ext{ (where } K' = K(nR)^{0.33} 	ext{ is a constant)}$Since $V^{1.33}$ is constant,it implies that $V$ must be a constant.$A$ process in which the volume remains constant is known as an isochoric process.

Given the relation $V = K \left( \frac{P}{T} \right)^{0.33}$,where $K$ is a constant. Identify the type of thermodynamic process.

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