A vertical cylinder of cross-sectional area 0.06 m2 is fitted with a tight-fitting, friction- less piston of mass 5.4 kg. If there are 5 mol of an ideal gas in the cylinder at 316 K, determine the height h at which the piston is in equilibrium under its own weight. The acceleration due to gravity is 9.8 m/s2, and the universal gas constant is 8.31451 J/K · mol. Answer in units of m.