Question

3.0 moles of an ideal gas are subjected to the following processes. First the volume is tripled in an isobaric process. Then it undergoes an isothermal process to a pressure of 9.0 kPa. The volume is then cut in half in another isobaric process after being tripled. Finally, it returns to the original state in an isochoric process. (a) Draw a PV diagram of the cycle. Label each state (vertex) with a letter (A, B, …) and each transition with a number and arrow showing the direction of the process. (b) If the isothermal process occurs at a temperature of 900 K, what is the pressure, temperature, and volume for each state. (c) Find the work done on the gas, the heat in and out of the gas, and the change in thermal energy for each of the processes.

Answer #1

A flask contains 99 moles of a monatomic ideal gas at pressure
6.79 atm and volume 29.3 liters (point A on the graph. Now, the gas
undergoes a cycle of three steps:
- First there is an isothermal expansion to pressure 3.71 atm
(point B on the graph).
- Next, there is an isochoric process in which the pressure is
raised to P1 (point C on the graph).
- Finally, there is an isobaric compression back to the original
state...

A flask contains 90.7 moles of a monatomic ideal gas at pressure
5.64 atm and volume 40.1 liters (point A on the graph. Now, the gas
undergoes a cycle of three steps:
- First there is an isothermal expansion to pressure 3.79 atm
(point B on the graph).
- Next, there is an isochoric process in which the pressure is
raised to P1 (point C on the graph).
- Finally, there is an isobaric compression back to the original
state...

3 moles of a monoatomic ideal gas with Cv=(32)RT occupies a
volume of 3.2L at a pressure of 1.9atm at point A. The gas is
carried through a cycle consisting of three processes:
1. The gas is heated at constant pressure until its volume is 4.4L
at point B.
2. The gas is cooled at constant volume until the pressure
decreases to 1.2atm (C).
3. The gas undergoes an isothermal compression back to point
A.
Find W for the isochoric...

If an ideal gas starts out at a pressure of 103 kPa and a volume
of 0.0330 m3 and then ends at a pressure of 248 kPa and volume of
0.0890 m3, how much work is done if it follows an isochoric process
up to the final pressure, then an isobaric expansion to the final
volume?
If instead it had an isobaric expansion to the final volume,
followed by an isochoric process to the final pressure, how much
work is...

The above pV diagram shows the expansion of 5.0 moles of a
monatomic ideal gas from state a to state b. As shown in the
diagram, Pa = Pb = 600 Pa, Va = 3.0 m3, and Vb = 9.0 m3. The
pressure is then reduced to 200 Pa without changing the volume, as
the gas is taken from state b to state c.
c. Determine Q for the process bc.
d. Determine the change in thermal energy of the...

A 2.0 mol sample of ideal gas with molar specific heat
Cv = (5/2)R is initially at 300 K and 100 kPa pressure. Determine
the final temperature and the work done on the gas when 1.6 kJ of
heat is added to the gas during each of these separate processes
(all starting at same initial temperature and pressure: (a)
isothermal (constant temperature) process, (b) isometric (constant
volume) process, and (c) isobaric (constant pressure) process.
Hint: You’ll need the 1st Law...

#4 A system containing 2.50 moles of an ideal gas for which =
20.79 JK-1mol-1 is taken through the
following cycles: (1) an isobaric expansion (P1 = 16.6
bar) from V1 = 1.00 L to V2 = 25.0 L; (2) an
isochoric cooling from T2 to the original temperature,
T1; followed by (3) an isothermal compression (at
temperature T1) to the original pressure P1
and volume V1.
A. Represent the above processes on a P-V diagram
B. Calculate q, w,...

1. a) Suppose 2 moles of a monatomic ideal gas
occupies 5 m3 at a pressure of 1600 Pa.
First: Find the temperature of the gas in Kelvin.
Answer: 481 K
Second: Find the total internal energy of the gas.
Answer:12000 J
1. b) Suppose the gas undergoes an isobaric
expansion to a volume of 7 m3.
(Don’t forget to include + and – in each of the
problems below)
First: Find Q
Answer: 8000 J
Second: Find W
Answer:...

A cylinder containing 3.0 moles of a monatomic, ideal gas begins
at a pressure of
2.0 × 105 Pa, with a volume of 0.0365 m3. The
gas then goes through the following three processes, which comprise
a thermal cycle:
The gas is expanded isothermally, to twice its original
volume.
The gas is cooled isobarically, back to its original
volume.
The gas is heated isochorically, up to its original
pressure.
(a) Find the initial temperature of the gas, in
Kelvin.
(b)...

8
moles of a triatomic gas are taken through a closed cycle ABC,
where AC is isothermal, AB is isobaric, BC is adiabatic. At A, the
pressure is 3 atm and the temperature is 325 K. The volume at B is
6 times that at A. What is the efficiency of the cycle?
PV diagram, table of state variables, tables of process, step
by step calculation is needed.

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