Thermodynamics and ThermochemistrymediumMCQ SINGLE

One mole of an ideal monoatomic gas undergoes adiabatic free expansion from 2 to , 300 K. The value Thermodynamics and Thermochemistry Chemistry Question

Question

One mole of an ideal monoatomic gas undergoes adiabatic free expansion from 2 to $20\text{ dm}^3$, 300 K. The value of $\Delta S$ for the gas is

Answer: B

💡 Solution & Explanation

In an adiabatic free expansion of an ideal gas, $\Delta U = 0$ implying $\Delta T = 0$ (isothermal). Entropy is a state function: $\Delta S = n R \ln(V_2/V_1) = 1 \times R \ln(20/2) = +R \ln 10$.

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