To convert between different solubility units and understand what they mean. The

Question

To convert between different solubility units and understand what they mean. The solubility of a solute is the maximum amount that can be dissolved in a given amount of solvent. As the name implies, molar solubility reports the solubility in units of molarity, M, or moles per liter. However, some other common units are grams per liter (g/L) and parts per million (ppm). How many liters of water are required to dissolve 1.00 g of silver chromate? Express your answer in liters to three significant figures. 2.74 Times 10^9 L This answer shows just how insoluble silver chromate is. Also realize that if you did dissolve 1 g of silver chromate in 2.74 Times 10^9 L of water, the concentration would be exactly 1.10 Times 10^-12 M. What is the solubility of silver chromate in parts per million? Express your answer in parts per million to three significant figures.

Explanation / Answer

we know that

solubility = amount of solute / volume

given

1 g of silver chromate

and

volume = 2.74 x 10^9 L

so

solubility = 1 / 2.74 x 10^9    g/ L

solubility = 3.65 x 10-10   g / L

we know that

1 g = 1000 mg

so

solubility = 3.65 x 10-10 x 1000 mg / L

solubility = 3.65 x 10-7 mg / L

now

we know that

1 mg / L = ppm

so

solubility = 3.65 x 10-7 ppm

so

the solubility of silver chromate is 3.65 x 10-7 ppm

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