Question

Efficiency of a Carot cycle is 75%
If temperature of the hot reservoir is
727°C, calculate the temperature of the
cold reservoir.
[Ans: 23°C]​

Answer 1

Answer:

Efficiency for any Heat engine = Work done by engine / Heat provided to the engine

Also, for a carnot engine derived formula for Carnot Engine

= 1- T2/T1

Where, T2 = sink reservoir temperature

and T1 = source reservoir temperature

727° C = 1000 K

So,

0.75 = 1-T2 / 1000

So,

T2 = 1000*0.25 = 250 K = -23 Kelvin

Answer 2

Answer:

given: n = 75% = 0.75

TH= ( 273+727) k = 1000k

to find : calculate the temperature of the cold reservoir.

formula : n=1-Tc/TH

calculate: by formula

n=1-Tc/TH

Tc/TH =1-n

Tc=TH (1-n) =1000k (1-0.75)

=250k = (250-273) °C

= -23°C

Ans:- this is the temperature of the cold reservoir.

I Hope you are understand this answer