(11%) Problem 7: A diatomic ideal gas goes through the cycle a b c d -> a as sho
ID: 1731587 • Letter: #
Question
(11%) Problem 7: A diatomic ideal gas goes through the cycle a b c d -> a as shown in the figure. Processes ab and cd are isothermal and occur at temperatures TH 350 K and Tc-288 K, respectively. There are n 25 moles of this gas in the system, and the initial volume is Va 0.045 m 3M Otheexpertta.com 25% Part (a) Calculate the work W, , in joules, done by the gas during the process a ? b. 25% Part(b) Calculate the work whc done by the gas, in joules, during the process b c. 25% Part (c) Calculate the total work W done in the entire cycle, in joules Grade Summary Deductions Potential W 145685.108 0% 100% cos() tan() acosO sin ? 7 8 9 HOME Submissions cotan asin A 456 c The answer provided was not correct. We have recognized the following, - Your answer appears to be off by a factor of 10n where n is an integer value. Ensure you have represented the number in the correct units. Your answer contains a sign error. - 25% Part (d) Calculate the total heat Q, in joules, flowing into the gas in a complete cycle.Explanation / Answer
a )
Wab = n R TH ln (3Va/Va)
= n R TH ln (3)
= 25 X 8.314 X 350 X ln3
Wab = 79921.297 J
b )
for isobaric transformation
Wbc = 0 J
c )
Wcd = n R TC ln (3Va/Va)
= n R TC ln (3)
= 25 X 8.314 X 288 X ln3
Wcd = 65763.81 J
W = Wab + Wbc + Wcd + Wda
= 79921.297 J + 0 - 65763.81 J + 0
W = 14157.487 J
d )
Q = 14157.487 J
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