1.19. a gas is confined in a 0.47 m diameter cylinder by a piston, on which rests a weight. the mass of the piston and weight together is 150 kg. the local acceleration of gravity is 9.813 m·s−2, and atmospheric pressure is 101.57 kpa. (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 cylinder? (b) what is the pressure of the gas in kpa? (c) if the gas in the cylinder is heated, it expands, pushing the piston and weight upward. if the piston and weight are raised 0.83 m, what is the work done by the gas in kj? what is the change in potential energy of the piston and weight? \

a) 19094 N

b) 110.055 kPa

c) 1222 J

Explanation:

The force on the gas is the weight plus the atmospheric pressure multiplied by the piston area

F = P + p * A

F = m * g + p * π/4 * d^2

F = 150 * 9.813 + 101570 * π/4 * 0.47^2 = 19094 N

The pressure is the force divided by the area of the piston

p1 = F / A

p1 = F / (π/4 * d^2)

p1 = 19094 / (π/4 * 0.47^2) = 110055 Pa = 110.055 kPa

variation of gravitational potential energy is defined as

ΔEp = m * g * Δh

ΔEp = 150 * 9.813 * 0.83 = 1222 J

answer:

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