Three identical cylinders are sealed with identical pistons that are free to sli

Question

Three identical cylinders are sealed with identical pistons that are free to slide up and down the cylinder without friction. Each cylinder contains ideal gas, and the gas occupies the same volume in each case, but the temperatures differ. As shown in the figure, each cylinder is inverted so the piston is below the gas, and the bottom of each piston is exposed to the atmosphere. In cylinders 1, 2, and 3 the temperatures are 0°C, 50°C, and 100°C, respectively. The pistons are at equilibrium in each case.

(a) Rank the cylinders, from largest to smallest, in terms of the pressure inside the cylinder. Use only "greater than" signs and "equals" signs in your ranking, such as 3>1=2

(b) Rank the cylinders, from largest to smallest, in terms of the number of moles of gas inside the cylinder. Use only "greater than" signs and "equals" signs in your ranking, such as 3>1=2

Explanation / Answer

a) 1=2=3 (each will have same equilibrium pressure) b) 1>2>3

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