A cylinder containing ideal gas is sealed by a piston that isabove the gas. The piston is a cylindrical object, with a weight of36.0 N, which can slide up or down in the cylinder withoutfriction. The inner radius of the cylinder, and the radius of thepiston, is 7.00 cm. The top of the piston is exposed to theatmosphere, and the atmospheric pressure is 101.3 kPa. The cylinderhas a height of 30.0 cm, and, when the temperature of the gas is20°C, the bottom of the piston is 14.0 cm above the bottom of thecylinder. (a) Determine the pressure of the gas in the cylinder.kPa (b) Find the number of moles of ideal gas in the cylinder.moles (c) Heat is added, gradually raising the temperature of thegas to 165°C. Calculate the distance between the bottom of thecylinder and the bottom of the piston when the piston comes to itsnew equilibrium position.