Energy into a rigid container>Find T2 and P2

[boeing9379]

Homework Statement

A Fan draws electricity at a rate of 1.5kW.
The fan is in a well insulated rigid container of air with volume 60 m^3.
Initial pressure and Initial Volume are: P1 = 1 atm, T1 = 27 degrees C.
After 30 minutes, assume Ideal Gas behavior, determine the final Temp and final Pressure.

Homework Equations

ΔE = Q - W
PV=nRT
ΔU=mc(T2-T1)?

The Attempt at a Solution

I calculated the energy into the system to be 2700.8 kJ after 30 minutes. Since there is no ΔKE or ΔPE, ΔE = ΔU = 2700.8 kJ. Since it is well insulated, Q = 0. So W = -2700.8 kJ.

I am having trouble linking the relationship between Energy and Temperature/Volume. I am not sure what other equations to use, so I am making no progress on this problem.

 

[boeing9379]

Does anyone have some advice. I will take anything that points me in the right direction, lol.