Problem 2. Gas dissolution. Consider a laboratory core which initially contains water that is saturated with CO2 in equilibrium with gas at the critical gas saturation, Sec=0.10. The equilibrium volume fraction of CO2 dissolved in the saturated water phase is 0.0916, and the volume fraction of water in the gas phase is 0.0006. At time t= 0, injection of pure water into the core begins. Assuming that effects of volume change as components change phase can be neglected, calculate the saturation profile at r=0.5 pore volumes injected. Determine how much pure water would have to be injected to remove all the gas present initially in the core