Problem 2: Students of College Physics use an experimental set-up like the one shown, except, of course, the cut-away section to aid visualization is only in the drawing. A cylinder with a d=11.43cm inner diameter and an hmax=15.56cm height is placed on a heating plate. A weighted circular disc fits snugly into the cylinder, creating a gas-tight seal; the combined mass of the disc and the weights it supports is 19.07kg.50% Part (a) The disc initially rests on the bottom of the cylinder, but argon gas is introduced through a valve until the bottom of the disc is at a height h0 which is 41.9% of hmax. How much argon gas, in moles, is in the cylinder if it has a temperature of 22.1∘C? (Assume that the gas in the cylinder approximates an ideal gas.)50% Part (b) Suppose an additional mass of 5.56kg is placed on the disc, but at the same time, the heating plate is used to heat the gas in the cylinder. If the height of the disc above the cylinder bottom is now 87.8% of hmax, then what is the change in the temperature, in degrees Celsius, of the gas?