Question

The efficiency of the Carnot engine working between the ice point and the steam point would be

Answer 1

Explanation

The Carnot engine: was first proposed by Leonard Carnot. It is a theoretical thermodynamic cycle. The cycle that is used for estimating the maximum efficiency of a heat engine during the conversion process of heat into work is known as the Carnot engine

• The Carnot efficiency is defined as the theoretical maximum efficiency one obtains when the heat engine operates between the two temperatures.
• Therefore, the efficiency of the Carnot engine between the two temperatures that are between the ice point and the steam point is given as:
• The temperature of the source ice point ${\mathrm{T}}_1=100°\mathrm{C}=373\mathrm{K}$

The temperature of the sink, steam point ${\mathrm{T}}_2=0°\mathrm{C}=273\mathrm{K}$

Efficiency,

$\mathrm{\eta }=1-\frac{{\mathrm{T}}_2}{{\mathrm{T}}_1}$

$=1-\frac{273}{373}=26.8\%$

Conclusion:

The efficiency of the Carnot engine working between the ice point and the steam point would be$26.8\%$