Thermodynamics calculating Pressure temp and Volume?

[mm391]

Homework Statement

Can someone explain how I would calculate T2 and P2 knowing that 1440kJ/kg of heat was added, Specific Heat Capacity is 0.72KJ/KgK and gamma = $\mu1.4$ and mass = 0.00058kg?

V1 = 0.000005m^3 V2 = V1
T1 = 753K T2 = ?
P1 = 25.12 Bar P2 = ?

Homework Equations

p₂=p₁*(v₁/v₂)^1.4

p₁*v₁/T₁=p₂*v₂/T₂

The Attempt at a Solution

 

[RTW69]

Looks like you have a constant volume process. Therefore Work done = 0, Q= ΔT=C_v*ΔT. You know Q, C_v, and T₁ so you can find T₂.