Model air as a diatomic ideal gas with M = 28.9 g/mol. A cylinder with a piston

Question

Model air as a diatomic ideal gas with M = 28.9 g/mol. A cylinder with a piston contains 1.40 kg of air at 25.5°C and 1.75 105 Pa. Energy is transferred by heat into the system as it is permitted to expand, with the pressure rising to 3.75 105 Pa. Throughout the expansion, the relationship between pressure and volume is given by

- P = CV(1/2)
- where C is a constant.

- the initial volume.
= 0.686 m3

- the final volume.
= 3.15 m3

- the final temperature.
= 2.93e3 k

- the energy transferred by heat.
= 3.356 MJ

(a) Find the work done on the air ?
= J.

Explanation / Answer

Hello, W = - ? P dV from Vi to Vf = - ? C·vV dV from Vi to Vf = - C·(2/3) · (vVf³ - vVi³ )

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