A heat engine has a cold reservoir of 250°C and a hot reservoir of 715°C. What is the efficiency of the engine?

A. 65.0%
B. 60.8%
C. 73.6%
D. 58.6%
E. 69.1%

Respuesta :

Solution:

715 - 250 = 465

715 x 0.65 = 464.75 = 465

Final Answer:

A. 65%

Answer:

The efficiency of the engine is 47%.

Explanation:

Given that,

Cold reservoir[tex]T_{1} = 250^{\circ}\ C[/tex]

[tex]T_{1}=250+273=523\ K[/tex]

Hot reservoir [tex]T_{2} = 715^{\circ}\ C[/tex]

[tex]T_{2}=715+273=988\ k[/tex]

The formula efficiency of the engine is defined as:

[tex]\eta =\dfrac{T_{2}-T_{1}}{T_{2}}[/tex]

[tex]\eta =1-\dfrac{T_{1}}{T_{2}}\times100[/tex]

We substitute the value into formula

[tex]\eta =1-\dfrac{523}{988}\times100[/tex]

[tex]\eta = 47\%[/tex]

Hence, The efficiency of the engine is 47%.

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