An aqueous solution of glucose (C6H12O6), called D5W, is used for intravenous injection. D5W contains 54.30 g of glucose per liter of solution. What is the molar concentration of glucose in D5W

The correct answer is 0.30 M

Explanation:

The molar concentration or molarity of a solution is defined as moles of solute per liter of solution. We found the moles of solute (glucose) by dividing the mass (54.30 g) into the molecular weight (MW) of glucose (C₆H₁₂O₆):

MW(C₆H₁₂O₆)= (12 g/mol x 6) + (1 g/mol x 12) + (16 g/mol x 6) = 180 g/mol

Moles of glucose= mass/MW= 54.30 g/(180 g/mol)= 0.30 mol

There is 0.30 mol of solute per liter of solution, thus the molarity is:

M= moles solute/L solution= 0.30 mol/1 L = 0.30 M

the product of the pressure and volume is also constant

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