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30 August, 01:44

An ammonia (nh3) solution composed of 4.00 g nh3 for every 96.00 g water flows into a 305.0 gallon tank. the density of this solution is Ď = 0.9811 g/ml. what is the molarity of this solution?

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  1. 30 August, 03:34
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    For conversion, there are 3,785.41 mL for every 1 gallon.

    Volume = 305 gal (3,785.41mL/gal) = 1,154,550.05 mL

    The equivalent mass of the solution would be:

    1,154,550.05 mL * 0.9811 g/mL = 1,132,729.054 g

    Ratio = 1,132,729.054 g / (96 + 4) = 11327.29

    Thus, the total amount of solute in the mixture is:

    Amount of solute = 4*11327.29 = 45,309.16 g

    The molar mass of ammonia is 17 g/mol.

    Amount of mol of solute = 45,309.16 g / 17 g/mol = 2,665.24 mol

    Since molarity is mol solute per liter,

    Molarity = 2,665.24 mol/[1,154,550.05 mL (1 L/1000 mL) ]

    Molarity = 2.308 M
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