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.
The Correct Answer and Explanation is :
The solubility of silver chromate in parts per million (ppm) is 3.65 × 10⁻⁷ ppm (rounded to three significant figures).
Explanation:
- Understanding ppm (Parts Per Million)
- ppm is a unit that expresses the concentration of a solute in a solution. It is typically used for very dilute solutions and is defined as:
[
\text{ppm} = \frac{\text{mass of solute in mg}}{\text{volume of solvent in L}}
] - This means that 1 ppm corresponds to 1 mg of solute in 1 liter of solution.
- Given Data
- We have 1.00 g (or 1000 mg) of silver chromate.
- It dissolves in 2.74 × 10⁹ L of water.
- Calculating ppm
[
\text{ppm} = \frac{1000 \text{ mg}}{2.74 \times 10^9 \text{ L}}
]
[
\text{ppm} = 3.65 \times 10^{-7}
] - Interpreting the Result
- This extremely low ppm value highlights how insoluble silver chromate is.
- Even with billions of liters of water, only a minuscule fraction of silver chromate dissolves, making it practically insoluble under normal conditions.
Now, I’ll generate an image to illustrate the solubility concept.
Here is a visualization illustrating the extreme insolubility of silver chromate in water. Let me know if you need further explanations or modifications!