Today I give you a free response practice question (for AP Physics B) on thermodynamics. You can access all posts on thermodynamics on this site by clicking on the label ‘thermodynamics’ below this post or by trying a search using the search box provided on this page.
Here is the question:
The adjoining figure shows a fixed cylindrical vessel of inner diameter 10 cm fitted with a smooth, light piston connected to a light spring of spring constant 4000 Nm–1. The other end of the spring is attached to an immovable support. The cylinder contains an ideal gas at 27º C. The spring is initially in its released condition and the initial volume of the gas in the cylinder is 0.8×10–3 m3. When heat is supplied to the gas, it expands and pushes the piston through 10 cm. The atmospheric pressure is 105 pascal. Now answer the following questions:
(a) What are the initial pressure and the initial absolute (Kelvin) temperature of the gas?
(b) Calculate the potential energy acquired by the spring because of the expansion of the gas.
(c) Calculate the final pressure of the gas in the cylinder.
(d) Calculate the final temperature of the gas in the cylinder.
The above question carries 10 points. You have about 11 minutes for answering it.
Try to answer the question. I’ll be back soon with a model answer for your benefit.
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