Physics Homework Help?

Question

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

Answer 1

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 air is 1118.75°C.