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## Homework Statement

A cylinder fitted with a piston contains air at 1.0 Bar and 17°C. The gas is compressed according to the law PV

^{n}= const., until the pressure is 4 bar when the specific volume is found to be 28% of the initial value. Heat is then added to the air at constant pressure until the volume is doubled. The same amount of heat is now removed from the air at constant volume.

Determine the value of the index n in the compression process.

Find also

(a) the overall change in internal energy/kg of air and

(b) the final pressure of the air.

R = 0.287 kJ/kgK, Cp = 1.005718kJ/kgK

## Homework Equations

(p

_{s}/p

_{1}) = (T

_{2}/T

_{1})

^{(n/n - 1)}

## The Attempt at a Solution

4 = (T

_{2}/290)

^{(n/n - 1)}

I'm not sure how to find n seeing as I haven't got T

_{2}, any ideas?