contestada

A Carnot heat engine operates between temperatures Th and Tc.
(a) If Th = 500k and Tc = 350k, what is the efficiency of the engine?
(b) What is the change in its efficiency for each degree of increase in Th above 500K?
(c) What is the change in its efficiency for each degree of change in Tc?
(d) Does the answer to part (c) depend on Tc? Explain.

Respuesta :

Answer:

Explanation:

Given

Temperature of higher source [tex]T_h=500 K[/tex]

Temperature of low source [tex]T_c=350 K[/tex]

(a)Efficiency Of Carnot engine

[tex]\eta _{carnot}=1-\frac{T_c}{T_h}[/tex]

[tex]=1-\frac{350}{500}[/tex]

[tex]=0.3[/tex]

(b)Now if [tex]T_h=501 K [/tex]

then [tex]\eta _{carnot}=1-\frac{T_c}{T_h}[/tex]

[tex]=1-\frac{350}{501}=0.3013[/tex]

for 1 K increase in [tex]T_h[/tex] increase in efficiency is given by

[tex]=0.3013-0.3=0.0013[/tex]

(c)For 1 K change in [tex]T_c[/tex]

now [tex]T_c=351  K[/tex]

[tex]\eta _{carnot}=1-\frac{T_L}{T_h}[/tex]

[tex]\eta =1-\frac{351}{500}[/tex]

[tex]\eta =0.298[/tex]

change in [tex]\Delta \eta=0.3-0.298=0.002[/tex]

(d)Yes the higher the value of [tex]T_c[/tex] lower will be the carnot efficiency

Otras preguntas