Solving Otto Cycle Problem: Find p2, p3, p4, T2, T3, T4, V2, V3, V4

[Dzai]

Homework Statement

p1, V1, T1 and ε (compression ratio) are known

I need to find:
p2, p3, p4
T2, T3, T4
V2, V3, V4

but I don't know how to find p3, p4, T3, T4

Homework Equations

ε = V1 / V2
V1 = V4
V2 = V3
T1 * V1^(k - 1) = T2 * V2^(k - 1)
T3 * V3^(k - 1) = T4 * V4^(k - 1)
T1 / T4 = T2 / T3
p * V = R * T

R and k are also known

The Attempt at a Solution

V2 = V1 / ε
V3 = V2
V4 = V1

T2 = T1 * ε ^ (k - 1)

p2 = (R * T2) / V2

And this is where I got stuck

 

[ehild]

The problem is under-defined. You need either P or T for one of the upper points.
For the process 1→2, use the other equation PV^k=const to find P₂.

ehild