Thermodynamics and Compression Ignition Pressure and Temp Problem?

[mm391]

Homework Statement

A model diesel C.I engine has a volumetric compression ratio of 18:1 and a cut*off ratio of 1.5:1?
The engine has a volumetric compression ratio of 18:1 and a cut*off ratio of
1.5:1.

If p1 = 1 bar and T1 = 27°C, determine the pressure and temperature
at each point in the cycle.

How would I do this?

Homework Equations

p1V1/T1=p2V2/T2

p1V1^n=p2V2^n

The Attempt at a Solution

T2 = 18^(1.4-1)*300 = 954K

No idea how to work out the pressures. I know it is isentropic so p1V1^n=p2V2^n

 

[rude man]

The Diesel cycle consists of the following:
1. adiabatic (isentropic) compression from p1 v1 to p2 v2
2. isobaric expansion from p2 v2 to p2 v3
3. adiabatic expansion from p2 v3 to p4 v1
4. isochoric (constant-volume) decompression from p4 v1 to p1 v1.

Just use the ideal gas relation pv = RT to get all the above p's and v's.
Realize that compression ratio = v1/v2 and cutoff ratio = v3/v2.