Thermodynamics and ThermochemistrymediumMCQ SINGLE

The work done in the isothermal reversible expansion of argon gas at from 4 l to 16 l was equal to 4Thermodynamics and Thermochemistry Chemistry Question

Question

The work done in the isothermal reversible expansion of argon gas at $27^\circ\text{C}$ from 4 l to 16 l was equal to 4200 cal. What is the amount of argon subjected to such an expansion? ($\text{Ar} = 40, \ln 4 = 1.4$)

Answer: C

💡 Solution & Explanation

Work done $W = nRT \ln(V_2/V_1)$. Substituting values: $4200 = n \times 2\text{ cal/K-mol} \times 300\text{ K} \times \ln(16/4)$. $4200 = n \times 600 \times 1.4 \implies 4200 = 840 n \implies n = 5\text{ moles}$. Mass of Ar $= 5\text{ moles} \times 40\text{ g/mol} = 200.0\text{ g}$.

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