Question

105Pa, initial temperature T-300K, and an initial 1. An ideal gas with initial pressure 2 volume V - 1m3 expands isothermally to a final volume of 2m3. Then, the gas returns to its initial state, first by constant pressure (isobaric) contraction, and then by a change at constant volume (isochoric) a) Draw a PV diagram of this process. What's the total change in thermal energy of the entire process? b) What's the work done by the environment on the gas? c) What's the heat that flows into the gas? 2. A cylinder with a valve at the bottom is filled with an ideal gas. The valve is now opened and some of the gas escapes slowly. The valve is then closed, after which the piston is observed to be at a lower position Assume that the system is in thermal equilibrium with the surroundings at all times (the temperature doesn't change) a) For now, just write down your intuition: is the final pressure of the gas in the cylinder greater than, equal to, or lesser than the initial pressure? piston b) Draw a free-body diagram of the piston in both the initial and final states. Is your answer to the previous question consistent with the forces acting on the piston in the initial and final states? If not, explain what needs to be adjusted in your reasoning gas c) In this process, explain which of the following quantities are constant and which are allowed to change: P, V, N, T Now instead, a long pin holds the piston in place as shown, and the valve is closed. The cylinder is then placed in boiling water d) Does the temperature of the gas increase, decrease, or stay the same? piston e) Would it be possible to determine the pressure of the gas by considering a gas free-body diagram of the piston? Explain why or why not.

Answer 1

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