rork 28 the ofnlyProblem 1.31. Imagine some helium in a cylinder with an initial volume of 1 literand an initial pressure of 1 atm. Somehow the helium is made to expand to a finalvolume of 3 liters, in such a way that its pressure rises in direct proportion to itsvolume.(a) Sketch a graph of pressure vs. volume for this process.(b) Calculate the work done on the gas during this process, assuming that thereare no "other" types of work being done.(c) Calculate the change in the helium's energy content during this process.(d) Calculate the amount of heat added to or removed from the helium duringthis process.(e) Describe what you might do to cause the pressure to rise as the heliumеxpands.Problem 1.33. An ideal gas is made to undergo the cyclic process shown inFigure 1.10(a). For each of the steps A, B, and C, determine whether each ofthe following is positive, nogative, or zero: (a) the work done on the gas; (b) thechange in the energy content of the gas; (c) the heat added to the gas. Thendetermine the sign of each of these three quantities for the whole cycle. What doesthis process accomplish?(a)A (b)B11PBAPtADVolumeV1V2 VolumeFigure 1.10. PV diagrams for Problems 1.33 and 1.34.steps; for example, during step A, heat is added to the gas (from an externalflame or something) while the piston is held fixed.(c) Compute the net work done on the gas, the net heat added to the gas, andthe net change in the energy of the gas during the entire cycle. Are theresults as you expected? Explain briefly.Show that knowing the initial condition of a compressed system consisting of a gasyou can derive its final temperature.2PressurePressure

Given: The initial volume and pressure of helium is 1 litre and 1 atm.

Answered: Problem 1.31. Imagine some helium in a…

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