s is confined in a cylinder with a diameter of 1.25 ft by a piston, on which a counterweight rests. Together, the piston and the counterweight have a mass of 250 lbm. The local gravitational acceleration is 32.169 ft/s^2, and the atmospheric pressure is 30.12 in Hg. a. What is the force in (lbf) exerted on the gas by the atmosphere, piston, and counterweight, assuming there is no friction between the piston and the cylinder?
A gas is confined in a cylinder with a diameter of 1.25 ft by a piston, on which a counterweight rests. Together, the piston and the counterweight have a mass of 250 lbm. The local gravitational acceleration is 32.169 ft/s^2, and the atmospheric pressure is 30.12 in Hg.
a. What is the force in (lbf) exerted on the gas by the atmosphere, piston, and counterweight, assuming there is no friction between the piston and the cylinder? Answer: F = 2,864.2 lbf.
b. What is the gas pressure in (psia)? Answer: Pabs = 16.208 psia.
c. If the gas in the cylinder is heated, it expands, pushing the piston and counterweight upward. If the piston and counterweight are lifted by 1.7 ft, what is the work done by the gas in (ft-lbf)? What is the change in potential energy of the piston and counterweight? Answer: w = 4,869.1 ft-lbf, and ΔEp = 424.9 ft-lbf.
Here's the translation into English:
A gas is confined in a cylinder with a diameter of 1.25 ft by a piston, on which a counterweight rests. Together, the piston and the counterweight have a mass of 250 lbm. The local gravitational acceleration is 32.169 ft/s^2, and the atmospheric pressure is 30.12 in Hg.
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