Taking into account the definition of molarity and molar mass, the correct answer is option a: 1.11 mL of 0.5 M glucose (molecular mass 180) is needed to provide 100 mg of glucose.
Molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.
The molarity of a solution is calculated by :
molarity= mass÷ volume
Molarity is expressed in units moles/L.
The molar mass of substance is a property defined as the amount of mass that a substance contains in one mole.
In this case, you have:
You can apply the following rule of three: If by definition of molar mass 180 grams of glucose are contained in 1 mole, 0.1 grams of glucose are contained in how many moles?
amount of moles= (0.1 grams× 1 mole)÷ 180 grams
amount of moles= 5.556×10⁻⁴ moles
Noe, replacing in the definition of molarity:
0.5 M= 5.556×10⁻⁴ moles÷ volume
Solving:
0.5 M× volume= 5.556×10⁻⁴ moles
volume= 5.556×10⁻⁴ moles ÷0.5 M
volume=1.11×10⁻³ L= 1.11 mL (being 1 L= 1000 mL)
Finally, the correct answer is option a: 1.11 mL of 0.5 M glucose (molecular mass 180) is needed to provide 100 mg of glucose.
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