An ideal diatomic gas has an initial pressure of 1.00×10°P , an initial volume of 2.00m', and an initial temperature of 300K. (This is point 1 on the pV-diagram.) The gas has an isochoric increase in pressure to 2.00x10°Pa. (This is point 2 on the pV-diagram.) The gas then has an isothermal expansion to a volume of 3.00m'. (This is point 3 on the pV-diagram.) The pressure is then reduced adiabatically back down to its original pressure of 1.00×10°P . (This is point 4 on the pV-diagram.) Finally, the gas has an isobaric decrease in volume to its original volume of 2.00m'. (The gas is back to point 1 on the pV-diagram.) a. Fill in the missing values on the following table. Point Volume, Pressure, Temperature, v (m³) p(10ʻPa) T(K) 1 2.00 1.00 300 2 2.00 3 3.00 4 1.00

Principles of Physics: A Calculus-Based Text
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Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 47P
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An ideal diatomic gas has an initial pressure of 1.00×10°Pa , an initial volume of 2.00m', and
an initial temperature of 300K. (This is point 1 on the pV-diagram.) The gas has an isochoric
increase in pressure to 2.00×10°P. . (This is point 2 on the pV-diagram.) The gas then has an
isothermal expansion to a volume of 3.00m'. (This is point 3 on the pV-diagram.) The pressure
is then reduced adiabatically back down to its original pressure of 1.00×10°P.. (This is point 4
on the pV-diagram.) Finally, the gas has an isobaric decrease in volume to its original volume of
2.00m. (The gas is back to point 1 on the pV-diagram.)
а.
Fill in the missing values on the following table.
Point
Volume,
Pressure,
Temperature,
v (m²)
p(10ʻPA)
T(K)
1
2.00
1.00
300
2
2.00
3
3.00
4
1.00
b. Fill in the values for each of the processes in the following table. (These values
correspond to the First Law of Thermodynamics written as: AE, =W +Q.)
Process
Change in internal
Work done to gas,
Heat added to gas,
energy, AE, (J)
W (3)
Q(1)
'th
1→ 2
2 → 3
3 → 4
4 →1
Full Cycle
Transcribed Image Text:An ideal diatomic gas has an initial pressure of 1.00×10°Pa , an initial volume of 2.00m', and an initial temperature of 300K. (This is point 1 on the pV-diagram.) The gas has an isochoric increase in pressure to 2.00×10°P. . (This is point 2 on the pV-diagram.) The gas then has an isothermal expansion to a volume of 3.00m'. (This is point 3 on the pV-diagram.) The pressure is then reduced adiabatically back down to its original pressure of 1.00×10°P.. (This is point 4 on the pV-diagram.) Finally, the gas has an isobaric decrease in volume to its original volume of 2.00m. (The gas is back to point 1 on the pV-diagram.) а. Fill in the missing values on the following table. Point Volume, Pressure, Temperature, v (m²) p(10ʻPA) T(K) 1 2.00 1.00 300 2 2.00 3 3.00 4 1.00 b. Fill in the values for each of the processes in the following table. (These values correspond to the First Law of Thermodynamics written as: AE, =W +Q.) Process Change in internal Work done to gas, Heat added to gas, energy, AE, (J) W (3) Q(1) 'th 1→ 2 2 → 3 3 → 4 4 →1 Full Cycle
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