Patm = 100 kPa A = 0.0078 m² mpiston = 10 kg mgas = 0.5 kg k = 9000 N/m Heat -X₂ = 0.06 m -x₁ = 0m
A gas contained within a piston cylinder assembly is shown in the figure below. Initially the piston face is at x1, and the spring exerts no force on the piston. As a result of heat transfer, the gas expands, raising the piston until it hits the stops. At this point the piston face is located at x2, and the heat transfer ceases. The force exerted by the spring on the piston as the gas expands varies linearly with x according to ???????=?? . Friction between the piston and the cylinder wall can be neglected. The acceleration due to gravity is ?=9.806 ?/?2. Other information is given on the
figure.
a. What is the initial pressure of the gas, in kPa?
b. Determine the work done by the gas on the piston, in J.
c. If the specific energies of the gas at the initial and final states are 210 and 335 kJ/kg, respectively, calculate the heat transfer, in J.
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