Imagine some helium in a cylinder with an initial volume of 1 liter and an initial pressure of 1 atm. Somehow the helium is made to expand to a final volume of 3 liters, in such a way that its pressure rises in direct proportion to its volume. (a) Sketch a graph of pressure vs. volume for this process (b) Calculate the work done on the gas during this process, assuming that there are no other types of work being done. (c) Calculate the change in the helium's energy content during this process

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Imagine some helium in a cylinder with an initial volume of 1 liter and an initial
pressure of 1 atm. Somehow the helium is made to expand to a final volume of 3
liters, in such a way that its pressure rises in direct proportion to its volume.
(a) Sketch a graph of pressure vs. volume for this process
(b) Calculate the work done on the gas during this process, assuming that there
are 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 duirng this
process
(e) Describe what you might do to cause the pressure to rise as the helium
expands?
Transcribed Image Text:Imagine some helium in a cylinder with an initial volume of 1 liter and an initial pressure of 1 atm. Somehow the helium is made to expand to a final volume of 3 liters, in such a way that its pressure rises in direct proportion to its volume. (a) Sketch a graph of pressure vs. volume for this process (b) Calculate the work done on the gas during this process, assuming that there are 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 duirng this process (e) Describe what you might do to cause the pressure to rise as the helium expands?
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