Consider a setup of two urea solution of concentration C_(1) and C_(2)(C_(2)gtC_(1)), both at temperature T, separated by a semi permeable membrane. External pressure P_(1) and P_(2) respectively are applied on the two solutions. For what values of P_(1) and P_(2), osmosis does not occur through the semi permeable membrane? (R= universal gas constant)

Consider a setup of two urea solution of concentration C_(1) and C_(2)

1.	Consider a setup of two urea solution of concentration C_(1) and C_(2)(C_(2)gtC_(1)), both at temperature T, separated by a semi permeable membrane. External pressure P_(1) and P_(2) respectively are applied on the two solutions. For what values of P_(1) and P_(2), osmosis does not occur through the semi permeable membrane? (R= universal gas constant)
Answer» `P_(1)=C_(1)RT` and `P_(2)=C_(2)RT` `P_(1)=` zero and `P_(2)=(C_(2)-C_(1))RT` `P_(1)=C_(2)RT` and `P_(2)=C_(1)RT` `P_(1)=2C_(1)RT` and `P_(1)=(C_(2)+C_(1))RT` Solution :(A). Osmotic pressures of the TWO solutions are `pi_(1)=C_(1)RT` and `pi_(2)=C_(2)RT`. So, if we apply these external pressures on both solutions, they will not show osmosis with a pure solvent since they both will be in equilibrium with pure solvent (as far as osmatic flow is concerned). This implies that for these values of external pressures. both solutions will also be in equilibrium with each other and osmosis will not occur between them. If we add or subtract any common VALUE of pressure from their values in OPTION (A). the two solutions will still REMAIN in equilibrium. in option (B), we subtract `C_(1)RT` from each side's external pressures of option (A). in option (D), we add `C_(1)RT` on both sides (starting from option (A)), and the two solutions remain in equilibrium.