The following rock$-$ and fluid$-$properties data are available on a field:

Reservoir area $=1000$ acres, porosity $=10\%,$ thickness $={20}^{\text{'}},T=140F,S_{wi}=20\%,p_i=4000,p_b=$

$4000$ psi.

The gas compressibility factor and relative permeability ratio are given by the following expressions:

$z=0\mathrm{.}8-0\mathrm{.}00002(p-4000)$

$\frac{k_{rg}}{k_{ro}}=0\mathrm{.}00127e^{17\mathrm{.}269Sg}$

The production history of the field is given below:

Subsurface information indicates that there is no aquifer and has been no water production.

Hints: $B_g$ unit is $R\frac{B}{s}cf$; GOR is $R_p$ cumulative gas$-$oil ratio; calculate $S_o$ at $3000$ psi...

Calculate:

a$.$ Remaining oil$-$in$-$place at $3,000$ psi

b$.$ Cumulative gas produced at $3,000$