One mole of an ideal gas at occupies a volume

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

Problem

One mole of an ideal gas at

300\,\text{K}

occupies a volume

V_0

. The gas is allowed to expand adiabatically and irreversibly into a vacuum until its volume doubles to

2V_0

. The temperature of the gas remains

300\,\text{K}

throughout the process. Using

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

, what is the entropy change of the gas? (a)

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

(b)

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

(c)

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

(d)

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