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16 May, 12:48

A stock bottle of an acid reads: 56% by mass and 1.25 specific gravity. If the molar mass of the acid is 70g, find the mole per cubic decimeter

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  1. 16 May, 15:29
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    10 mol / dm³

    Explanation:

    Cubic decimeter is the same unit as liter; so, mole per cubic decimeter is mole per liter, and that is the unit of concentration of molarity. Thus, what is asked is the molarity of the solution. This is how you find it.

    1. Take a basis: 1 dm³ = 1 liter = 1,000 ml

    2. Calculate the mass of 1 liter (1,000 ml) of solution:

    density = mass / volume ⇒ mass = density * volume

    Here, the density is given through the specific gravity

    Scpecific gravity = density of acid / density of water

    Take density of water as 1.00 g/ml.

    density of solution = 1.25 g/ml

    mass solution = 1.25 g/ml * 1,000 ml = 1,250 g

    3. Calculate the mass of solute (pure acid)

    % m/m = (mass of solute / mass of solution) * 100

    56 = mass of solute / 1,250 g * 100

    mass of solute = 56 * 1,250g / 100 = 700 g

    4. Calculate the number of moles of solute:

    moles = mass in grams / molar mass = 700 g / 70 g/mol = 10 mol

    5. Calculate molarity (mol / dm³)

    M = number of moles of solute / liter of solution = 10 mol / 1 liter = 10 mol/liter.
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