Answer:
a) [tex]Tb=1845.05K[/tex]
b) [tex]Q=1000.25KJ[/tex]
c) [tex]\mu=0.59[/tex]
Explanation:
From the question we are told that:
Temperature x [tex]Tx=450c=>723K[/tex]
Pressure x [tex]Px=2.5MPa[/tex]
Temperature y [tex]Ty=600c=>873K[/tex]
Pressure y [tex]Py=0.45MPa[/tex]
Let
Air atmospheric temperature be [tex]25c[/tex]
Therefore
Temperature [tex]Ta=25+273=298k[/tex]
Generally the equation for Otto cycle is mathematically given by
[tex]\frac{Tb}{Tx}=\frac{Ty}{Ta}[/tex]
[tex]Tb=\frac{873*723}{298}[/tex]
[tex]Tb=2118.05[/tex]
Therefore the peak cycle temperature (°C)
[tex]Tb=2118.05k[/tex]
[tex]Tb=2118.05-273[/tex]
[tex]Tb=1845.05K[/tex]
Generally the equation for Heat addition is mathematically given by
[tex]Q=Cv(Tb-Tx)[/tex]
[tex]Q=Cv(2118.05-723)[/tex]
[tex]Q=1000.25KJ[/tex]
Generally the equation for Thermal efficiency is mathematically given by
[tex]\mu=1-\frac{Ta}{Tx}[/tex]
[tex]\mu=1-\frac{298}{723}[/tex]
[tex]\mu=0.59[/tex]
