A fixed amount of ideal gas at a pressure of Pa is compressed from a volume of to a…

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

Problem

A fixed amount of ideal gas at a pressure of

2.0 \times 10^6

Pa is compressed from a volume of

0.25 \text{ m}^3

to a volume of

0.15 \text{ m}^3

with no change in pressure. (a) The internal energy,

U

, of the gas is given by the expression

U = \frac{3}{2}NkT \text{ .}

Show that the change in internal energy of the gas can be expressed by

\Delta U = \frac{3}{2}P\Delta V \text{ .}

(b) Calculate the change in internal energy of the gas. (c) Calculate the work done,

W

, on the gas.