### Type 2: Find the weight of the solute from mOsmol and volume

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

5.2.1.1) mOsmol - General Normal 1

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How much sodium bicarbonate will you need to dissolve in 1 mL in order to obtain the osmolarity of 190.48? The molecular weight of sodium bicarbonate is 84 g/mol.

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lb equals 8 mg/1mL kg

For sodium bicarbonate , the 'golden formula' is:
1 mmol= [84] mg = [1] mEq = [2] mOsmol.

Osmolarity is the number of mOsmol per 1 L (1000 mL).
Since we need mg quantity in the numerator of the desired unit, we begin with keeping it in the numerator of the first fraction.
Again, since 190.48 mOsmol is contained in 1000 mL of solution, we keep the 190.48 mOsmol in the numerator of the second fraction for getting the 'mOsmol' part cancelled out.
Using dimensional analysis:
(84 \quad mg)/(2 \quad mOsmol) × (190.48 \quad mOsmol)/(1000 \quad mL) × (1 \quad mL)/(1 \quad mL)= 8 \quad (mg)/(1 \quad mL) Ans.