ii. Derive a novel model based on the Peng Robinson Equation of state for the estimation of initial gas reserves for a dry gas reservoir. It is important to try to express the Peng- Robinson relation in a straight line form, hence clearly state the variable for y, m, and C.

iii. Test the validity of the novel model on the P/Z plot concept that as derived on the basis of PV=ZnRT , using the information below:

Component Mole Fraction. Molar Mass

CO2 0.00002. 44.0 N2 0.09877. 28.01

C1 0.80000. 16.04

C2 0.0600. 30.04

C3 0.03431. 44.01

i-C4 0.005. 58.124

n-C4 0.0019. 58.124

Reservoir Temp: 200 F

Reservoir pressure, psia. Gas deviaiton factor, z. Cummulative production, MMMscf

2080. 0.759 0

1885. 0.767 6.873

1620 0.787 14.002

1205 0.828 23.687

888 0.866 31.009

645 0.9 36.207

iv. Implement the novel model as a sample case in either Excel, MATLAB or Python programming language, showing the results plot of the P/Z plot and the Peng Robinson Plot using the same data described in section iii.