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
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
Chapter7: Electricity
Section: Chapter Questions
Problem 14P
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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)
(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?
(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)
J
(d) Find the energy delivered to the gas in going from A to C.
J
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 =
nRΔT =
Δ(PV) =
(PCVC − PAVA)
to a diatomic ideal gas.3 |
2 |
3 |
2 |
3 |
2 |
J
(d) Find the energy delivered to the gas in going from A to C.
J
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