An ideal gas is taken reversibly from state A () to the state B () along a straight line in diagram. — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

The straight line equation is $P = -kV + c$. Work done is the area under the straight line, which is greater than the area under the corresponding hyperbola for an isothermal process between the same points. Since $P$ is linear in $V$, $T \propto PV \propto -kV^2 + cV$, which forms an inverted parabola in a $T-V$ plot, meaning $T$ increases to a maximum then decreases.