An ideal gas is placed in a tall vertical cylinder with cross-sectional area A =

Question

An ideal gas is placed in a tall vertical cylinder with cross-sectional area A = 0.1 m2. A frictionless moveable piston is placed vertically into the cylinder. The mass M of the piston can be adjusted by adding (or subtracting) mass to it; the gas pressure in the jar supports the piston’s weight.

a) The cylinder is now brought into thermal contact with a reservoir at temperature of Tb = 180 K. How high is the piston above the bottom of the cylinder when the system comes to thermal equilibrium? How much work ?Wa ->b was done on the gas and how much heat ?Qa ->b was transferred into the gas?

Explanation / Answer

Mg = PA PV = nRT P = nRT/V Mg = nRTA/V V = Ah Mg = nRTA/Ah Mg = nRT/h --------1 Mg = mRT/hM1 M1 = mocular mass of the gas m = mass of the gas M = mass of piston we dnt knw M1 and m so take n = 1 and solve for M eqn 1

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