Compressed Air Energy Storage System

[Isotropic]

Homework Statement

I have a CAES system that takes air at a pressure of 102.2kPa and temp of 24 degrees C. It is compressed to 85 bar adiabatically at a rate of 168 kg/s. I know that Cp = 1.005 kJ/kgK and Cv = 0.718 kJ/kgK. The question is - determine the amount of work consumed by the compressor in kWh.

2. Relevant equation
Unsure

The Attempt at a Solution

Totally lost with this question, attempted a solution using -w = (h2-h1) and then U = Q + w, but i don't think i have the required values for that. Any help at all is greatly appreciated.

 

[haruspex]

Any help

Not sure I can answer the question fully, but I know where I would start: find the compressed temperature.