A sealed cylinder contains of an ideal diatomic gas at and

PHYSICS · Multi-part · A Level · Physics · Engineering physics · Engineering physics

Problem

A sealed cylinder contains

0.50\,\text{mol}

of an ideal diatomic gas at

300\,\text{K}

and

1.5\times10^5\,\text{Pa}

. The gas is compressed reversibly and adiabatically until its pressure reaches

3.0\times10^6\,\text{Pa}

. Take

\gamma = 1.4

. (i) Calculate the final temperature of the gas. (ii) Determine the final volume if the initial volume was

8.2\times10^{-3}\,\text{m}^3

. (iii) Find the work done on the gas during the compression.