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?

Respuesta :

Answer:

(A) Th = 818.6 K

(B) Qh = 14211.7 J

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 - [tex]\frac{Tc}{Th}[/tex]

0.537 = 1 - [tex]\frac{379}{Th}[/tex]

[tex]\frac{379}{Th}[/tex] = 1 - 0.537 = 0.463        

Th = [tex]\frac{379}{0.463}[/tex]

Th = 818.6 K

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

from [tex]\frac{Tc}{Th} = \frac{Qc}{Qh}[/tex]

Qh = 6580 ÷ [tex]\frac{379}{818.6}[/tex]

Qh = 14211.7 J