Taking into account the rule of three, the correct answer is option B. 1100 grams of solute can be dissolved in 350 g of water at the same temperature.
Rule of three
The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So: [tex]x=\frac{cxb}{a}[/tex]
Mass of solute
The direct rule of three is the rule applied in this case as follow:
If the solubility of AgNO₃ at 40°C is 311 g per 100 g of water, what mass of this solute can be dissolved in 350 g of water at the same temperature?
100 grams of water → 311 grams of solute
350 grams of water → mass of solute
Solving:
[tex]mass of solute=\frac{350 grams of waterx311 grams of solute}{100 grams of water}[/tex]
mass of solute= 1,088.5 grams
It can be rounded of to 1100 g of AgNO₃.
Finally, the correct answer is option B. 1100 grams of solute can be dissolved in 350 g of water at the same temperature.
Learn more about solubility:
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