A gas is confined in a 0.47m diameter cylinder by a piston, on which rests a weight. The mass of the piston and weight together is 150kg. The local acceleration of gravity is 9.813m•s^2, and atmospheric pressure is 101.57kPa.

Question

A gas is confined in a 0.47m diameter cylinder by a piston, on which rests a weight. The mass of the piston and weight together is 150kg. The local acceleration of gravity is 9.813m•s^2, and atmospheric pressure is 101.57kPa. 
(a) what is the force in newtons exerted on the gas by the atmosphere, the piston, and the weight, assuming no friction between the piston and the cylinder?
(b) what is the pressure of the gas in kPa?
(C)If the gas in the cylinder is heated, it expands, pushing the weight and the piston upwards. If the piston and weight are raised 0.83m, what is the work done by the gas in kJ?
(D) what is the change in potential energy of the piston and weight?

Anonymous · Accepted Answer

a, A = [ pi (0.47)^2 / 4 ] m^2 F = A * 101.57*10^3 N/m^2 + 150 *9.813 N b. P = F/A c. W = F * 0.83 d. The same as c, the increase in PE is the work done lifting it.