Fort McMurray, Alberta [20 Points]\ Flooding of

CO_(2)

is used to recover oil from depleted wells. The gas is compressed and injected into the well. The gas dissolves in the oil and causes the oil to swell and reduces its viscosity. Thus the oil moves through the rock reservoirs and out of the wells. In one particular process

CO_(2)

is compressed at

350K

from

4MPa

to

9MPa

and fed to the well. Our Genius Engineer who hates the cubic equations of state and residual properties came up with his own equation of state

Z=1+(a)/(P^(2)\\\\sqrt(T))

with

a=-7(K^(0.5)*MPa^(2))

. Calculate the work needed per mole of

CO_(2)

.

4. Fort McMurray, Alberta [20 Points] Flooding of CO2 is used to recover oil from depleted wells. The gas is compressed and injected into the well. The gas dissolves in the oil and causes the oil to swell and reduces its viscosity. Thus the oil moves through the rock reservoirs and out of the wells. In one particular process CO2 is compressed at 350K from 4MPa to 9MPa and fed to the well. Our Genius Engineer who hates the cubic equations of state and residual properties came up with his own equation of state Z=1+P2Ta with a=7(K0.5MPa2). Calculate the work needed per mole of CO2