# physics

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Air in a diesel engine cylinder is quickly compressed from an initial temperature of 21.1°C, an initial pressure of 1.00 atm, and an initial volume of 670 cm^3 to a final volume of 44.5 cm^3.

a)Assuming the air to be an ideal diatomic gas, find the final temperature (in K).
b) Assuming the air to be an ideal diatomic gas, find the final pressure.

• physics -

Due to the quick compression, the process will be adiabatic. For such a process,
P*V^g = constant

Do part (b) first with the above equation.

P2/P1 = (V1/V2)^g

Once you have P2, use the ideal gas law for T2.

For a diatomic, g is the dimensionless number 7/5.

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