Respuesta :
Answer:
Tc = 168°C
Explanation:
Carnot engine:
- ε = 1 - Tc/Th
∴ ε: efficiency = 60% = 0.60
∴ Th: hot-reservoir temperature = 420°C
∴ Tc: cold-reservoir temperature = ?
⇒ Tc = (1 - ε)×Th
⇒ Tc = ( 1 - 0.60 )×( 420 °C )
⇒ Tc = 168°C
The temperature of cold reservoir in the Carnot engine has been 168 degree Celsius.
The Carnot engine has been the theoretical engine for the maximum efficiency that has been reached by the system when it has been operating between the temperatures.
Efficiency of Carnot Engine
The efficiency has been defined as the amount of heat that has been transferred into work. The efficiency of the Carnot engine has been given as:
[tex]\epsilon =1-\dfrac{T_C}{T_H}[/tex]
The efficiency of the given Carnot engine has been, [tex]\epsilon =0.60[/tex]
The temperature of the hot reservoir has been, [tex]T_H=420\;^\circ \rm C[/tex]
Substituting the values for the temperature of cold reservoir ([tex]T_C[/tex])as:
[tex]0.60=1-\dfrac{T_C}{420}\\1-0.60= \dfrac{T_C}{420}\\\\T_C=168\;\rm ^\circ C[/tex]
The temperature of cold reservoir in the Carnot engine has been 168 degree Celsius.
Learn more about Carnot engine, here:
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