Problem 37P

In a Diesel engine, atmospheric air is quickly compressed to about 1/20 of its original volume. Estimate the temperature of the air after compression, and explain why a Diesel engine does not require spark plugs.

Solution

Step 1 of 3

A diesel engine,compresses air of volume at atmospheric pressure and temperature which contains a diatomic molecules, hence it has 5 degrees of freedom (f=5=3 translational and 2 rotational) to a final volume and temperature of and respectively. By considering the process to be adiabatic,we need to estimate the final temperature of gas after compression .

Given data,

Initial volume,

Initial temperature,

Degrees of freedom, f=5

Final volume,

To find,

Final temperature, =?