234k views
0 votes
A Carnot engine has an efficiency of 0.537, and the temperature of its cold reservoir is 379 K.

(a) Determine the temperature of its hot reservoir.
(b) If 6580 J of heat is rejected to the cold reservoir, what amount of heat is put into the engine?

User Tanderson
by
7.3k points

1 Answer

5 votes

Answer:

(A) Th = 818.6 K

(B) Qh = 14211.7 J

Step-by-step explanation:

efficiency (n) = 0.537

temperature of cold reservoir (Tc) = 379 K

heat rejected (Qc) = 6580 J

(A) find the temperature of the hot reservoir (Th)

n = 1 -
(Tc)/(Th)

0.537 = 1 -
(379)/(Th)


(379)/(Th) = 1 - 0.537 = 0.463

Th =
(379)/(0.463)

Th = 818.6 K

(B) what amount of heat is put into the engine (Qh) ?

from
(Tc)/(Th) = (Qc)/(Qh)

Qh = 6580 ÷
(379)/(818.6)

Qh = 14211.7 J

User Oleh Tatsiun
by
7.5k points