QuestionMay 11, 2025

Solve for [Al] in the expression: 4.0times 10^-6=([Al]^2)/(0.050) 4.0times 10^-14 2.0times 10^-7 4.5times 10^-4 8.9times 10^-3

Solve for [Al] in the expression: 4.0times 10^-6=([Al]^2)/(0.050) 4.0times 10^-14 2.0times 10^-7 4.5times 10^-4 8.9times 10^-3
Solve for [Al] in the expression: 4.0times 10^-6=([Al]^2)/(0.050) 4.0times 10^-14 2.0times 10^-7 4.5times 10^-4 8.9times 10^-3

Solution
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Answer

1.41 \times 10^{-4} Explanation 1. Rearrange the equation to isolate [Al]^2 Multiply both sides by 0.050: 4.0 \times 10^{-6} \cdot 0.050 = [Al]^2 2. Simplify the multiplication 4.0 \times 10^{-6} \cdot 0.050 = 2.0 \times 10^{-7}, so [Al]^2 = 2.0 \times 10^{-7}. 3. Solve for [Al] Take the square root of both sides: [Al] = \sqrt{2.0 \times 10^{-7}} = 1.41 \times 10^{-4} (approximately).

Explanation

1. Rearrange the equation to isolate $[Al]^2$<br /> Multiply both sides by $0.050$: <br />$4.0 \times 10^{-6} \cdot 0.050 = [Al]^2$<br /><br />2. Simplify the multiplication<br /> $4.0 \times 10^{-6} \cdot 0.050 = 2.0 \times 10^{-7}$, so $[Al]^2 = 2.0 \times 10^{-7}$.<br /><br />3. Solve for $[Al]$<br /> Take the square root of both sides: <br />$[Al] = \sqrt{2.0 \times 10^{-7}} = 1.41 \times 10^{-4}$ (approximately).
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