Compressibility Factor and Generalized Compressibility Chart
You start out with an initial guess for the temperature.  I suggest starting out using the value that you would calculate using the ideal gas law.  You then,

Calculate the reduced temperature and pressure
Get z at this reduced temperature and pressure
Use these to calculate a value for the specific volume.
If the value for the calculated specific volume does not match 0.013, adjust your guess for the temperature and go back to step 1.

Continue doing this until the calculated specific volume matches the prescribed value of 0.013