Determine molarity from weight of drug and volume of the solution

4. Moles and Molarity 4.2) Molarity 4.2.1) Molarity - general Molarity - general Normal 1

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176.576 g of magnesium acetate tetrahydrate is dissolved in 800 mL of solution. If the molecular weight of magnesium acetate tetrahydrate is 142.4, then determine the molarity (M) of the solution

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lb equals 1.55 M kg

    Molarity is the number of moles (`n`) dissolved per liter of solution (`V`). Again, mole is the weight in gram (`g`) divided by the molecular weight (`a`).
    In this example, the volume of the solution is 800 mL, or 0.8 L.

    [1] Using formula method:
    `M=g/(aV)=(176.576\quad g)/(142.4\quad (g/(mol)) × 0.8\quad L)`
    `therefore M = 1.55 (mol)/L=1.55` without unit, Ans.

    [2] Using conceptual method:
    First, count the number of moles (`n`) of magnesium acetate tetrahydrate present in this solution:
    `=(weight\quad i n \quad g)/(mol ecu lar\quad wt)=(176.576\quad g)/(142.4 \quad (g/(mol)))=1.24 \quad mol`
    Then, calculate how many moles will be present in 1L of solution. Using equation, we can write:
    `(1.24\quad mol e)/(800 \quad mL)=x/(1000 \quad mL) therefore x = 1.55` Ans.

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