In an internal combustion engine, air at atmospheric pressure and a temperature of about 20 ∘C is compressed in the cylinder by a piston to 18.0 of its original volume (compression ratio 8.0).

Estimate the temperature of the compressed air, assuming the pressure reaches 38 atm .

At temperature $\"\"$ : \ \

Atmospheric pressure of the air is 1 atm. \ \

Let initial volume of the air be $\"\"$ .

Initial temperature $\"\"$ of the air = 20°C = 20+273 = 293 K.

At temperature $\"\"$ :

Volume of the air is compressed by a factor of $\"\"$ , then volume is $\"\"$ .

The atmospheric pressure of the gas at final temperature is 38 atm.

Equation of the ideal gas: $\"\"$ .

$\"\"$

The Temperature of the gas is 1118.75°C.