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How many grams of aluminum sulfate must be dissolved in 650. mL of water to make 84.0% (m/v) aluminum sulfate solution?

Sagot :

3415.2 grams

Explanation

to solve this we can use a rule of three

Step 1

Let

water= 100-84%= 16%

so,

[tex]\text{ 16 \%=650 mL}[/tex]

for the water , 1 mL = 1 gram , so

[tex]\text{ 16\% =650 grams}[/tex]

now, let represents the mass of the aluminiu, so

[tex]\text{ 84 \%= x}[/tex]

a) the ratio is the same, so we have a proportion

[tex]\frac{16}{650}=\frac{84}{x}[/tex]

Step 2

finally, solve for x

[tex]\begin{gathered} \frac{16}{650}=\frac{84}{x} \\ \text{cross multiply } \\ 16\cdot x=84\cdot650 \\ 16x=54600 \\ \text{divide both sides by 16} \\ \frac{16x}{16}=\frac{54600}{16} \\ x=3412.5 \end{gathered}[/tex]

so, the mass of the aluminum is

3415.2 grams

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