where mCO2 is the mass fraction of CO2 in the solution, and MWsolution, MWbrine, and MWCO2 are the molecular weight of the solution, of the brine, and of CO2, respectively. Considering the definition of density as shown on 5.5, equation 5.3 can be modified to equation 5.6. ρ_CO2=MW_CO2/V_CO2 (5.5)
"1" /"ρ" _" solution" =("1-" "m" _"CO2" )/"ρ" _" brine" "+" "m" _"CO2" /〖"ρ" _"CO2" 〗_" " (5.6)
where ρ solution and ρ brine are density of solution and brine, MW CO2 and ρm CO2 is apparent mass density of CO2 in the solution and VCO2 is the volume of CO2. Rearranging the equation for the ρ_solution will result in equation 5.7:
〖"ρ" _" solution" "=" (1+XW_(〖CO〗_2 ) (ρ_( brine)/ρ_( CO2) -1))〗^"-1" "ρ" _"brine" (5.7)
where
"1" /"ρ" _" solution" =("1-" "m" _"CO2" )/"ρ" _" brine" "+" "m" _"CO2" /〖"ρ" _"CO2" 〗_" " (5.6)
where ρ solution and ρ brine are density of solution and brine, MW CO2 and ρm CO2 is apparent mass density of CO2 in the solution and VCO2 is the volume of CO2. Rearranging the equation for the ρ_solution will result in equation 5.7:
〖"ρ" _" solution" "=" (1+XW_(〖CO〗_2 ) (ρ_( brine)/ρ_( CO2) -1))〗^"-1" "ρ" _"brine" (5.7)
where