0.06 moles of a monatomic gas undergoes the cycle A ?B?C?A as shown on the P-V d
ID: 2153857 • Letter: 0
Question
0.06 moles of a monatomic gas undergoes the cycle A ?B?C?A as shown on the P-V diagram below.
(a) In the transition A?B the gas expands adiabatically from 1x10-3 to 2x10-3 m3 and the temperature drops from 600K to 400K. During this transition the internal energy reduces by 149 J. What is the work done on the gas?
J
(b) During the transition B?C, the volume decreases from 2x10-3 m3 liters to 1x10-3 m3 liter at constant pressure (isobaric). What is the work done on the gas?
J
(c) During the isobaric (constant pressure) transition B?C, what is the heat transferred to the gas?
J
(d) During the constant volume (isovolumetric) transition C?A, the internal energy increases by 299 J. What is the heat transferred to the gas?
J
(e) For the cycle A?B?C?A, what is the efficiency of the heat engine?
%
(f) What is the efficiency for a Carnot cycle running between 200K and 600K.
%
Explanation / Answer
a)
0
b)
B: P=nRT/V=0.06*8.13*400/2e-3 = 97560 Pa
W = P V = 97560 * (1e-3) = 97.56 J
c)
Q = n cv dT + 80 = 0.06 * 3/2 * 200 - 97.56 = -79.56 J
d)
Q = E = 299 J
e)
f)
= 1 - Tc/Th = 1 - 200/600 = 0.667
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