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28 August, 11:11

Which solution has the highest concentration of NaCl? A. 175 g NaCl in 1.0 L B. 58.5 g NaCl in 1.5 L C. 29.3 g NaCl in 0.5 L D. 2.5 mol NaCl in 2.0 L E. 5.0 mol NaCl in 3.0 L

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  1. 28 August, 11:32
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    The answer is E. 5.0 mol NaCl in 3.0 L

    The mass concentration (c) is the mass of the solute (m) divided by the volume of the mixture (V):

    c = m/V

    Now, let's go through all choices:

    A. m = 175 g NaCl

    V = 1.0 L

    c = m/V = 175 g/1.0 L = 175 g/L

    B. m = 58.5 g NaCl

    V = 1.5 L

    c = m/V = 58.5 g/1.5 L = 39 g/L

    C. m = 29.3 g NaCl

    V = 0.5 L

    c = m/V = 29.3 g/0.5 L = 58.6 g/L

    D. M = 2.5 mol NaCl

    Since we have moles, and not grams, first we must calculate molar mass of NaCl which is the sum of atomic masses of the elements:

    Mr (NaCl) = Ar (Na) + Ar (Cl) = 22.99 g + 35.45 g = 58.44 g

    This means that in 1 mol there is 58.44g/L. So, in 2.5 mol there will be:

    1 mol : 58.44 g/L = 2.5 mol : x

    x = 2.5 * 58.44 g/L = 146.1 g/L

    E. We will use the calculation from choice D.

    Mr (NaCl) = 58.44 g.

    In 1 mol there is 58.44g/L, so in 5 mol there will be:

    1 mol : 58.44 g/L = 5 mol : x

    x = 58.44 * 5 = 292.2 g/L

    Therefore:

    E > A > D > C > B
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