0.7 liters of an ideal gas is initially at atmospheric pressure. Process a-b: Th
ID: 1543780 • Letter: 0
Question
0.7 liters of an ideal gas is initially at atmospheric pressure.
Process a-b: The gas is allowed to expand isothermally to 1.8 liters.
Process b-c: The gas is returned to atmospheric pressure at constant volume.
Process c-d: The gas is returned to the initial volume, 0.7 liters, at constant pressure.
A) Process a-b: Determine the amount of work that was done.
(include units with answer)
B)Process a-b: Determine the change in internal energy.
C)Process a-b: Determine the heat that was added.
D)Process b-c: Determine the work that was done.
E)Process c-d: Determine the work that was done.
Explanation / Answer
part A:
work done for isothermal expansion =pressure*volume*ln(final volume/initial volume)
=1 atm*0.7 ltr*ln(1.8/0.7)
=101325 Pa*0.0007*ln(1.8/0.7)
=66.988 J
part B:
change in internal eenrgy=0 as it is an isothermal process.
part c:
heat added=change in internal energy+work done=0+66.988=66.988 J
part d:
process b-c is a constant volume process.
hence work done=0
part e:
process c-d is a constant pressure process ..
work done=pressure*(final volume-initial volume)
=101325 Pa*(0.7-1.8) ltr
=101325*(-1.1)*0.001 m^3
=-111.46 J
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