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In a petrol engine (internal combusti...

In a petrol engine (internal combustion engine ) air at atmospheric pressure and temperature of `20^(@)C` is compressed in the cylinder by the piston to `1//8` of its original volume . Calculate the termperature of the compressed air .

Text Solution

Verified by Experts

`T_(1)=20^(@)C=20+273K, V_(1)=1m^(3), V_(2)=(1)/(8)V_(1)m^(3), gamma=1.4`
Form equation of adiabatic process
`TV^(gamma-1)="constant"`
`T_(1)V_(1)^(gamma-1)=T_(2)V_(2)^(gamma-1)`
`T_(2)=((V_(1))/(V_(2)))^(gamma-1)T_(1)`
`T_(2)=((1)/(((1)/(8))))^(1.4-1)xx298=(8)^(0.4)xx293`
`=673.1K=673.1-273,T_(2)=400^(@)C`
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