One mole of a monatomic ideal gas initially at and volume undergoes the following…

CHEMISTRY · Single correct · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

One mole of a monatomic ideal gas initially at

300\,\text{K}

and volume

V_0

undergoes the following two-step process: 1. The gas is heated reversibly at constant volume to

400\,\text{K}

. 2. It then expands adiabatically and irreversibly into a vacuum until its volume doubles to

2V_0

, while the temperature remains

400\,\text{K}

. Which of the following is closest to the total entropy change of the universe,

\Delta S_{\text{univ}}

, for the entire two-step process? (Take

R=8.314\,\text{J}\,\text{mol}^{-1}\,\text{K}^{-1}

.) (a)

3.6\,\text{J}\,\text{K}^{-1}

(b)

5.8\,\text{J}\,\text{K}^{-1}

(c)

0\,\text{J}\,\text{K}^{-1}

(d)

9.3\,\text{J}\,\text{K}^{-1}