### Type 3: Determine percent strength from osmolarity of the solution

5. mEq and mOsmol 5.2) mOsmol 5.2.1) mOsmol - General

5.2.1.1) mOsmol - General Normal 1

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The osmolarity of a sodium bicarbonate solution is 476.19 mOsmol/L. How will this be expressed as % w/v strength? Given that, the molecular weight of sodium bicarbonate is 84 g/mol. Click on the button below to see the answer and explanations

lb equals 2 % kg

For sodium bicarbonate , the 'golden formula' is:
1 mmol =  mg =  mEq =  mOsmol.

Osmolarity is the number of mOsmol per 1 L (or 1000 mL).
Since we need g quantity in the numerator of the desired unit, we begin with keeping the mg unit in the numerator of the first fraction.
Again, since 476.19 mOsmol is contained in 1000 mL of solution, we keep the 476.19 mOsmol in the numerator of the second fraction for getting the 'mOsmol' part cancelled out.
Using dimensional analysis:

(84 \quad mg)/(2 \quad mOsmol) × (476.19 \quad mOsmol)/(1000 \quad mL) × (1 \quad g)/(1000 \quad mg)

 × (100 \quad mL)/(100 \quad mL)= 2 \quad (g)/(100 \quad mL) => 2 %  Ans.