Question #64a93

1 Answer
Apr 23, 2017

"Osmolarity = 280 mOsmol/L".

Explanation:

An osmole (Osmol) is 1 mol of particles that contribute to the osmotic pressure of a solution.

For example, dextrose is a nonelectrolyte.

1 mol of dextrose gives 1 mol of particles in solution. So.

"1 mol dextrose = 1 Osmol dextrose"

Thus, the osmolarity of the dextrose in your solution is

"Osmolarity" = (20 color(red)(cancel(color(black)("mmol"))))/(100 color(red)(cancel(color(black)("mL")))) × (1000 color(red)(cancel(color(black)("mL"))))/"1 L" × "1 mOsmol"/(1 color(red)(cancel(color(black)("mmol")))) = "200 mOsmol/L"

"KCl" dissociates completely in water to form "K"^+ ions and "Cl"^"-" ions.

Thus, each mole of "KCl" becomes two osmoles in solution: one of "K"^+ and one of "Cl"^"-".

The osmolarity of "KCl" in your solution is

"Osmolarity" = (4 color(red)(cancel(color(black)("mmol"))))/(100 color(red)(cancel(color(black)("mL")))) × (1000 color(red)(cancel(color(black)("mL"))))/"1 L" × "2 mOsmol"/(1 color(red)(cancel(color(black)("mmol")))) = "80 mOsmol/L"

The total osmolarity of the solution is the sum of the individual osmolarities.

"Total osmolarity" = "(200 + 80) mOsmol/L" = "280 mOsmol/L"