For an ideal gas undergoing an isothermal change at temperature

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

T

, the pressure changes from

P_1

P_2

. (i) Derive an expression for the work done

W

during this change in terms of

P_1

P_2

, and

T

. (ii) A sample of

1.5\,\text{mol}

ideal gas at

300\,\text{K}

is compressed isothermally from

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

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

. Calculate the work done on the gas.