1. An ideal diatomic gas goes through the following cycle. It starts at a point a with a pressure 6.00 x10*Pa, a volume of 5.00m and a temperature of 400K. Then there is an isochoric drop in pressure to a point b where the pressure is 3.00x10°Pa. Next there is an adiabatic increase in pressure to a point c where the pressure is again 6.00 x10°Pa. Finally, there is an isobaric return to point a . a. How many moles of gas are there? b. What are the volumes and temperatures at points b and c ? Fill in the missing values on the following table. Point Volume, Pressure, Temperature, v(m²) p(10°Pa) T(K) 5.00 6.00 400 a 3.00 6.00 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.)
1. An ideal diatomic gas goes through the following cycle. It starts at a point a with a pressure 6.00 x10*Pa, a volume of 5.00m and a temperature of 400K. Then there is an isochoric drop in pressure to a point b where the pressure is 3.00x10°Pa. Next there is an adiabatic increase in pressure to a point c where the pressure is again 6.00 x10°Pa. Finally, there is an isobaric return to point a . a. How many moles of gas are there? b. What are the volumes and temperatures at points b and c ? Fill in the missing values on the following table. Point Volume, Pressure, Temperature, v(m²) p(10°Pa) T(K) 5.00 6.00 400 a 3.00 6.00 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.)
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Transcribed Image Text:1. An ideal diatomic gas goes through the following cycle. It starts at a point a with a pressure
6.00 x10ʻPa, a volume of 5.00m and a temperature of 400K. Then there is an isochoric
drop in pressure to a point b where the pressure is 3.00 x10°Pa. Next there is an adiabatic
increase in pressure to a point c where the pressure is again 6.00x10ʻPa. Finally, there is an
isobaric return to point a .
a. How many moles of gas are there?
b. What are the volumes and temperatures at points b and c ?
Fill in the missing values on the following table.
Volume,
Point
Pressure,
Temperature,
v (m²)
p(10ʻPa)
T(K)
a
5.00
6.00
400
3.00
6.00
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 .)
Change in internal
Process
Work done to gas,
Heat added to gas,
w (10ʻJ)
Q(10°1)
energy,
AE, (10ʻJ)
a → b
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