A piston-cylinder device initially contains 0.05 m3 of a gas at 200 kPa. At this state,...

 

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A piston-cylinder device initially contains 0.05 m3 of a gas at 200 kPa. At this state, a linear spring that has a spring constant of 150 kN/m is touching the piston but exerting no force on it. Now heat is transferred to the gas, causing the piston to rise and to compress the spring until the V inside the cylinder doubles. If the A. of the piston is 0.25 m2, determine (a) the final P inside the cylinder, (b) the total work done by the gas, and (c) the fraction of this work done against the spring to compress it. k = 150 kN/m A = 0.25 m2 P = 200 kPa V = 0.05 m Heat * For piston-cylinders, P of gas remains constant while the piston is rising/lowering. * For spring-loaded piston cylinders, the linear spring exerts additional F and P on the gas. → P increases/decreases linearly with F/A.. A piston-cylinder device initially contains 0.05 m3 of a gas at 200 kPa. At this state, a linear spring that has a spring constant of 150 kN/m is touching the piston but exerting no force on it. Now heat is transferred to the gas, causing the piston to rise and to compress the spring until the V inside the cylinder doubles. If the A. of the piston is 0.25 m2, determine (a) the final P inside the cylinder, (b) the total work done by the gas, and (c) the fraction of this work done against the spring to compress it. k = 150 kN/m A = 0.25 m2 P = 200 kPa V = 0.05 m Heat * For piston-cylinders, P of gas remains constant while the piston is rising/lowering. * For spring-loaded piston cylinders, the linear spring exerts additional F and P on the gas. → P increases/decreases linearly with F/A..