In this problem, we will consider an idealized Carnot heat engine. The hot reser
ID: 1484424 • Letter: I
Question
In this problem, we will consider an idealized Carnot heat engine. The hot reservoir, from which it absorbs heat, consists of a large amount of boiling water. The cold reservoir, into which it emits heat, is a large container which has both ice and water. When the machine is run for 5 minutes, the heat it emits melts 5.90×102 kg of ice in the cold reservoir. (We assume there is sufficient ice in the cold reservoir.) Throughout this problem use Lf=3.34×105J/kg for the heat of fusion for water.
Part A-During this time, how much work
W is performed by the engine? I got 19706 but it says wrong please help!
Explanation / Answer
from the given data
Th = 100 C = 100 + 273 = 373 K
Tc = 0C = 0 + 273 = 273 K
efficiency, n = 1 - Tc/Th
= 1 - 273/373
= 0.268
heat rejected to cold reservoir in 5 minutes, Qout = m*Lf
= 5.9*10^-2*3.34*10^5
= 19706 J
let Qin heat taken by the engine from hot reservoi during this time.
we know, n = 1 - Qiout/Qin
Qout/Qin = 1 - n
Qin = Qout/(1 - n)
Qin = 19706/(1 - 0.268)
= 26921 J
so, Workdone during this time, W = Qin - Qout
= 26921 - 19706
= 7215 J <<<<<<<<--------------Answer
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