1) A gas is confined in a cylinder with a diameter of 1.0 m by a piston, on whic

Question

1) A gas is confined in a cylinder with a diameter of 1.0 m by a piston, on which a weight is resting. The mass of the piston and weight together is 200 kg. The local acceleration of gravity is 9.813 m/s2, and the atmospheric pressure is 101.57 kPa.

What is the force exerted on the gas by the atmosphere, the piston, and the weight, assuming no friction between the piston and cylinder?

What is the pressure of the gas in the cylinder?

If the gas in the cylinder is heated it will expand and push the pistonand weight upward. What is the work done by the gas if the piston and weight are raised 0.75 m? What is the change in potential energy of the piston and the weight?

Explanation / Answer

Force exerted on the gas by the atmosphere is Fa = P*A = 101570*3.142*(0.5*0.5) = 79783.235 N

by the piston and weight is Fp = 200*9.813 = 1962.6 N

pressure of the gas = P2 = P1+((1962.6+79783.235)/(3.142*0.5*0.5)) = 101570+104068.53 = 205638.53 Pa

Workdone by the gas is W = (1962.6+79783.235)*0.75 = 61309.4 J

change in potential energy is -w = - 61309.4 J

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.