9. An ideal monatomic gas goes through the following cycle. It starts at a point a with a pressure 4.00x10°Pa , a volume of 2.00m and a temperature of 300K. Then there is an adiabatic expansion to a point b where the volume is 4.00m'. Next there is an isothermal contraction to a point c until the pressure is again 4.00x10°Pa . Finally, there is an isobaric return to point a . a. How many moles of gas are there? b. What are the pressure and temperature at points b , and the volume and temperature at point c ? Fill in the missing values on the following table. Point Volume, Pressure, Temperature, V (m³) P(10ʻPA) T(K) 2.00 4.00 300 a b 4.00 C 4.00 c. Sketch the process on a p-V diagram. (You don't have to do a perfect sketch. However, if a line is vertical, make it look vertical. If a line is horizontal, make it look horizontal. If a line is curved, make it look curved.) d. What are Q,W , and AE, for each of the processes a → b, b→c and c-→a? 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, = Q+W .) %3D Process Change in internal Work done to gas, Heat added to gas, w (10°) O(10ʻs) energy, AE„ (10ʻJ) ´th a → b adiabatic b →c isothermal C →a isobaric
9. An ideal monatomic gas goes through the following cycle. It starts at a point a with a pressure 4.00x10°Pa , a volume of 2.00m and a temperature of 300K. Then there is an adiabatic expansion to a point b where the volume is 4.00m'. Next there is an isothermal contraction to a point c until the pressure is again 4.00x10°Pa . Finally, there is an isobaric return to point a . a. How many moles of gas are there? b. What are the pressure and temperature at points b , and the volume and temperature at point c ? Fill in the missing values on the following table. Point Volume, Pressure, Temperature, V (m³) P(10ʻPA) T(K) 2.00 4.00 300 a b 4.00 C 4.00 c. Sketch the process on a p-V diagram. (You don't have to do a perfect sketch. However, if a line is vertical, make it look vertical. If a line is horizontal, make it look horizontal. If a line is curved, make it look curved.) d. What are Q,W , and AE, for each of the processes a → b, b→c and c-→a? 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, = Q+W .) %3D Process Change in internal Work done to gas, Heat added to gas, w (10°) O(10ʻs) energy, AE„ (10ʻJ) ´th a → b adiabatic b →c isothermal C →a isobaric
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Transcribed Image Text:9.
An ideal monatomic gas goes through the following cycle. It starts at a point a with
a pressure 4.00×10°Pa , a volume of 2.00m and a temperature of 300K. Then there is an
adiabatic expansion to a point b where the volume is 4.00m'. Next there is an isothermal
contraction to a point c until the pressure is again 4.00x10°Pa. Finally, there is an isobaric
return to point a .
а.
How many moles of gas are there?
b. What are the pressure and temperature at points b , and the volume and temperature
at point c ?
Fill in the missing values on the following table.
Point
Volume,
Pressure,
Temperature,
V (m³)
P(10*Pa)
T(K)
2.00
4.00
300
a
b
4.00
4.00
c. Sketch the process on a p-V diagram. (You don't have to do a perfect sketch. However,
if a line is vertical, make it look vertical. If a line is horizontal, make it look horizontal. If
a line is curved, make it look curved.)
d. What are Q,W , and AE„h for each of the processes a →b, b→c andc→a?
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, = Q+W .)
'th
Process
Change in internal
Work done to gas,
Heat added to gas,
w (10ʻJ)
e(10ʻ1)
energy,
AE„ (10°J)
´th
a →b adiabatic
b →c isothermal
C →a isobaric
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