4. The PV diagram below depicts two equilibrium states (A and B) of two moles of helium gas confined within a piston, which both lie on the same adiabat (a curve which represents a collection of equilibrium states that a system can reach without exchanging heat with its surroundings). You are supplied with a meter stick and a thermometer, so you can determine the volume of the piston and the temperature of the gas at any stage. You perform an experiment that takes the system from state B to state A along that adiabat.

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4. The PV diagram below depicts two equilibrium states (A and B) of two moles
of helium gas confined within a piston, which both lie on the same adiabat (a curve which
represents a collection of equilibrium states that a system can reach without exchanging
heat with its surroundings). You are supplied with a meter stick and a thermometer, so you
can determine the volume of the piston and the temperature of the gas at any stage. You
perform an experiment that takes the system from state B to state A along that adiabat.
P
P.
Pa
Q=0
B
(a) Your lab assistant records data on the experiment, but loses track of which state
the recorded quantities belong to, and calls them simply states #1 and #2. Use your lab
assistant's data below (such as it is) to determine the change of the internal energy of the
gas during the process.
state #1: temperature = 288 K,
state #2: pressure = 2.5 x 104 Pa, volume 0.220 m³
(b) Find the work done on or by (specify which) the system during the process. Show
your work and/or explain your reasoning.
(c) Suppose the piston was filled with two moles of N₂ instead of helium, and that the
states A and B are the same as before (characterized by the same values of P and V).
Explain why the curve joining these states that was an adiabat for helium is not an adiabat
for N₂.
Transcribed Image Text:4. The PV diagram below depicts two equilibrium states (A and B) of two moles of helium gas confined within a piston, which both lie on the same adiabat (a curve which represents a collection of equilibrium states that a system can reach without exchanging heat with its surroundings). You are supplied with a meter stick and a thermometer, so you can determine the volume of the piston and the temperature of the gas at any stage. You perform an experiment that takes the system from state B to state A along that adiabat. P P. Pa Q=0 B (a) Your lab assistant records data on the experiment, but loses track of which state the recorded quantities belong to, and calls them simply states #1 and #2. Use your lab assistant's data below (such as it is) to determine the change of the internal energy of the gas during the process. state #1: temperature = 288 K, state #2: pressure = 2.5 x 104 Pa, volume 0.220 m³ (b) Find the work done on or by (specify which) the system during the process. Show your work and/or explain your reasoning. (c) Suppose the piston was filled with two moles of N₂ instead of helium, and that the states A and B are the same as before (characterized by the same values of P and V). Explain why the curve joining these states that was an adiabat for helium is not an adiabat for N₂.
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