Thermodynamics and ThermochemistryhardMCQ SINGLE⭐ Must-Do

There is 1 mol of a liquid in an adiabatic container, initial pressure being 1 bar. The pressure is Thermodynamics and Thermochemistry Chemistry Question

Question

There is 1 mol of a liquid in an adiabatic container, initial pressure being 1 bar. The pressure is steeply increased to 100 bar, and the volume decreases by 1 mL under a constant pressure of 100 bar. Calculate $\Delta U$. (Given 1 bar-L = 100 J)

Answer: A

💡 Solution & Explanation

Process is adiabatic so $q = 0$. The irreversible work done by applying constant external pressure is $w = -P_{ext}\Delta V = -100 \text{ bar} \times (-10^{-3} \text{ L}) = 0.1 \text{ bar-L}$. Converting to Joules, $w = 0.1 \times 100 = 10$ J. By the First Law, $\Delta U = q + w = 10$ J.

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