The drawing shows an ideal gas confined to a cylinder by amassless piston that i

Question

The drawing shows an ideal gas confined to a cylinder by amassless piston that is attached to an ideal spring. Outside thecylinder is a vacuum. The cross-sectional area of the piston isA = 2.50 × 10-3 m2. Theinitial pressure, volume, and temperature of the gas are,respectively, P0, V0 = 6.00× 10-4 m3 and T0 =273 K, and the spring is initially stretched by an amountx0 = 0.096 m with respect to its unstrainedlength. The gas is heated, so that its final pressure, volume, andtemperature are Pf, Vf andTf and the spring is stretched by an amountxf = 0.12 m with respect to its unstrainedlength. What is the final temperature of the gas?

Explanation / Answer

The inital force is

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