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Hydrogen is contained in a pistoncylinder device at 14.7
Chapter 4, Problem 419E(choose chapter or problem)
Hydrogen is contained in a piston-cylinder device at and . At this state, a linear spring with a spring constant of is touching the piston but exerts no force on it. The cross-sectional area of the piston is . Heat is transferred to the hydrogen, causing it to expand until its volume doubles. Determine (a) the final pressure, (b) the total work done by the hydrogen, and (c) the fraction of this work done against the spring. Also, show the process on a diagram.
Questions & Answers
QUESTION:
Hydrogen is contained in a piston-cylinder device at and . At this state, a linear spring with a spring constant of is touching the piston but exerts no force on it. The cross-sectional area of the piston is . Heat is transferred to the hydrogen, causing it to expand until its volume doubles. Determine (a) the final pressure, (b) the total work done by the hydrogen, and (c) the fraction of this work done against the spring. Also, show the process on a diagram.
ANSWER:
Step 1 of 4
Hydrogen gas in a cylinder equipped with a spring is heated. The gas expands and compresses the spring until its volume doubles. The final pressure, the boundary work done by the gas, and the work done against the spring are to be determined, and a 
Assumptions are
1. The process is quasi-equilibrium.
2. Hydrogen is an ideal gas.