Answer:
9.069 KW
Explanation:
The heat engine operates in a carnot cycle between 75°C to 492°C so the lower temperature [tex]T_L=75^{\circ}C=273+75=348K[/tex] and the higher temperature [tex]T_H=492^{\circ}C=273+492=765K[/tex]
Efficiency of the carnot cycle [tex]\eta =1-\frac{T_L}{T_H}=1-\frac{348}{765}=0.545[/tex]
We know that [tex]\eta =\frac{work\ done }{heat\ absorbed}[/tex]
[tex]work\ done=\eta \times heat\ abosorbed=0.545\times 19300=10520.392\ J[/tex]
it is given that duration of each cycle is 1.16 sec so power output [tex]P=\frac{W}{T}=\frac{10520.392}{1.16}=9069.30\ W=9.069\ KW[/tex]
