Question
A quantity of air is contained in a cylinder provided with a movable piston. Initially the...
A quantity of air is contained in a cylinder provided
with a movable piston. Initially the
pressure of the air is 4 × 107 N/m2
, the volume is 1.5 m3
and the temperature is 400 K.
Assume air is an ideal gas. (a) What are the final volume and
temperature of the air if it is
allowed to expand isothermally from initial conditions until the
pressure is 3 × 107 N/m2
and
then is cooled at constant volume until the pressure is 2 × 107
N/m2
? (b) Draw the P-V
diagram for the processes described above.
Homework Answers
Answer #1
a]
During Isothermal process temperature is constant,
P1=Initial pressure
P2=final pressure
V1=Initial Volume
V2=Final volume
T1= T2
P1V1=P2V2
V2= P1V1/P2= (4 × 107)(1.5)/3 × 107= 2m3
After Isothermal process,
Gas undergoes isochoric process (Volume will be constant)
P2/T2= P3/T3
T3= P3 (T2/P2)= 2*107*400/3 × 107= 266.67K
After completion of both the process
Final Volume= 2m3
Final temperature= 266.67K
b]
On x axis we plot volume and on y axis we plot pressure
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