Please help with all portions of the problem. Thank you!:) The figure shows a re
ID: 1650717 • Letter: P
Question
Please help with all portions of the problem. Thank you!:)
The figure shows a reversible cycle through which 1.97 mol of a monatomic ideal gas is taken. Assume that p = 2p_0, V = 2V_0, p_0 = 2.22 time 10^5 Pa, and V_0 = 0.0232 m^3. Calculate (a) the work done during the cycle, (b) the energy added as heat during stroke abc, and (c) the efficiency of the cycle, (d) What Is the efficiency of a Carnot engine operating between the highest and lowest temperatures that occur in the cycle? (e) Is this greater than or less than the efficiency calculated in (c)? (a) Number Units (b) Number Units (c) Number units (d) Number Units (e)Explanation / Answer
a] work done = area enclosed
= [2p0-p0]*[2v0-v0]
= p0v0
= 2.22e5*0.0232
= 5150.4 J
b] heat added = work done in abc + change in internal energy
= 2p0v0 + 1.5*(4p0v0-p0v0)
= 6.5 p0v0
= 6.5*2.22e5*0.0232
= 33478 J
c] efficiency = Work/heat added
= 5150.4/33478
= 0.1538
d] Temperature at c will be 4 times that at a.
carnot efficiency = 1-Tcold/Thot
= 1-1/4
= 0.75
e] greater than
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