Consider the four-process cycle shown in the P-V diagram in thefigure above. The
ID: 1682014 • Letter: C
Question
Consider the four-process cycle shown in the P-V diagram in thefigure above. The graph shows a sequence of four processes beingcarried out on a sealed system of ideal gas. In this case,P is 30.0 kPa and V is1.00 liters.
(a) Calculate the work done by the gas in the process taking thesystem from state 1 to state 2.
1 J
(b) Calculate the work done by the gas in the process taking thesystem from state 2 to state 3.
2 J
(c) Calculate the work done by the gas in the process taking thesystem from state 3 to state 4.
3 J
(d) Calculate the work done by the gas in the process taking thesystem from state 4 to state 1.
4 J
(e) Calculate the net work done by the gas in one entirecycle.
5 J
(f) Calculate the net change in the internal energy of the gasfor one entire cycle.
6 J
WILL RATE 10! Please help. If you can't answer all,at least help me on how to start this. Thanks!
Explanation / Answer
P = 30.0 kPa, V = 1.00 liters a) find W1-2 W1-2 = area under the line 1-2 = P*(2V - V) + (3P -P)*(2V - V)/2 = 2PV = 60.0 J b) find W2-3 W2-3 = area under the line 2-3 = 3P*(3V - 2V) = 3PV =90.0 J c) find W3-4 W3-4 = area under the line 3-4 = 0 d) find W4-1 W4-1 = area under the line 4-1 = P*(V - 3V) + (2P -P)*(V - 3V)/2 = -3PV = -90.0 J e) W = 60.0 J + 90.0 J + 0 + (-90.0) J = 60.0 J f) U = 0 (for any entire cycle)