An expansion process on an ideal diatomic ideal gas has a linear path between the initial and final coordinates on a pV diagram.The coordinates of the initial state are: the pressure is 300 kPa,the volume is
And the temperature is
The final pressure is
And the final temperature is
How much work is done by the gas during this process? (R = 8.31 J/mol ∙ K)

Question

An expansion process on an ideal diatomic ideal gas has a linear path between the initial and final coordinates on a pV diagram.The coordinates of the initial state are: the pressure is 300 kPa,the volume is 
And the temperature is 
The final pressure is 
And the final temperature is 
How much work is done by the gas during this process? (R = 8.31 J/mol ∙ K)

Quizplus · Accepted Answer

Since the process is linear, we can use the formula for work done in a linear expansion:
W = PΔV = nRΔT = (11.06/0.029)(8.31)(284.26 - 40) = 12,981 J ≈ 13,000 J
Note that we use the initial number of moles n = PV/(RT) and the final temperature in Kelvin units. The correct answer is therefore (A).

An Expansion Process on an Ideal Diatomic Ideal Gas Has