One mole of an ideal gas passes through a process in which the pressure and volume obey the relation P=P₀[1-1/2((V₀)/V)²], where P₀ and V₀ are constants. Calculate the change in the temperature of the gas if its volume changes from V₀ to 2V₀.

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Accepted Answer

(2) 5/4(P₀V₀)/R. T=(PV)/R=(P₀V)/R[1-1/2((V₀)/V)²]. At V=V₀: T₁=(P₀V₀)/R(1-1/2)=(P₀V₀)/(2R). At V=2V₀: T₂=(2P₀V₀)/R(1-1/8)=(7P₀V₀)/(4R). Δ T=(7P₀V₀)/(4R)-(2P₀V₀)/(4R)=5/4(P₀V₀)/R.

One mole of an ideal gas passes through a process in which the pressure and volume obey the relation P=P₀[1-1/2((V₀)/V)²], where P₀ and V₀ are constants. Calculate the change in the temperature of the gas if its volume changes from V₀ to 2V₀.

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