Problemin 4 [10 marks] A sample of

0.3mol

of methane occupies

12.7dm^(3)

at

310K

. Consider ideal (perfect) gas behaviour throughout the problem.

/bar (C)_(p)=(5R)/(2)

(which the molar heat capacity\ of an ideal gas at constant pressure).

/bar (C)_(V)=(3R)/(2)

(which the molar heat capacity of an ideal gas at constant volume). Calculate the change in the internal energy when the gas expands against a constant external pressure of

30.0kPa

until its volume has increased by

3.3dm^(3)

.

Problem 4 [10 marks] A sample of 0.3mol of methane occupies 12.7dm3 at 310K. Consider ideal (perfect) gas behaviour throughout the problem. Cp=25R (which the molar heat capacity of an ideal gas at constant pressure). CV=23R (which the molar heat capacity of an ideal gas at constant volume). Calculate the change in the internal energy I when the gas expands against a constant external pressure of 30.0kPa until its volume has increased by 3.3dm3