A system consisting of 0.0538 moles of a diatomic ideal gas is taken from state A to state C along the path in the figure below. A pressure-volume graph is plotted on a coordinate plane, where the horizontal axis is V (L), and the vertical axis is P (atm). The path consists of two line segments: a segment from point A (2,0.300) to point B (2,0.800) a segment from point B (2,0.800) to point C (8,0.500) Arrows along the path are aligned such that their tails are closer to point A than are their tips. (a) How much work is done on the gas during this process?   J (b) What is the lowest temperature of the gas during this process?   K Where does it occur? Point APoint B    Point C (c) Find the change in internal energy of the gas in going from A to C. Hint: Adapt the equation (for the change in internal energy of a monatomic ideal gas) ΔU =  3 2nRΔT =  3 2Δ(PV) =  3 2(PCVC − PAVA) to a diatomic ideal gas.  J (d) Find the energy delivered to the gas in going from A to C.  J

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A system consisting of 0.0538 moles of a diatomic ideal gas is taken from state A to state C along the path in the figure below.

A pressure-volume graph is plotted on a coordinate plane, where the horizontal axis is V (L), and the vertical axis is P (atm). The path consists of two line segments:
  • a segment from point A (2,0.300) to point B (2,0.800)
  • a segment from point B (2,0.800) to point C (8,0.500)
Arrows along the path are aligned such that their tails are closer to point A than are their tips.
(a) How much work is done on the gas during this process?
  J

(b) What is the lowest temperature of the gas during this process?
  K

Where does it occur?
Point APoint B    Point C

(c) Find the change in internal energy of the gas in going from A to CHint: Adapt the equation (for the change in internal energy of a monatomic ideal gas)
ΔU = 
3
2
nRΔT = 
3
2
Δ(PV) = 
3
2
(PCVC − PAVA)
to a diatomic ideal gas.
 J

(d) Find the energy delivered to the gas in going from A to C.
 J

 

P (atm)
0.800
Be
0.600
0.400
A
0.200
-V (L)
8
2
4
6
Transcribed Image Text:P (atm) 0.800 Be 0.600 0.400 A 0.200 -V (L) 8 2 4 6
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