Questions: Notice that "SO4" appears in two different places in this chemical equation. SO4^2- is a polyatomic ion called sulfate. What number should be placed in front of CaSO4 to give the same total number of sulfate ions on each side of the equation? ? CaSO4 + AlCl3 -> CaCl2 + Al2(SO4)3 Express your answer numerically as an integer.

Notice that "SO4" appears in two different places in this chemical equation. SO4^2- is a polyatomic ion called sulfate. What number should be placed in front of CaSO4 to give the same total number of sulfate ions on each side of the equation? ? CaSO4 + AlCl3 -> CaCl2 + Al2(SO4)3 Express your answer numerically as an integer.
Transcript text: Notice that " $\mathrm{SO}_{4}$ " appears in two different places in this chemical equation. $\mathrm{SO}_{4}^{2-}$ is a polyatomic ion called sulfate. What number should be placed in front of $\mathrm{CaSO}_{4}$ to give the same total number of sulfate ions on each side of the equation? \[ ? \mathrm{CaSO}_{4}+\mathrm{AlCl}_{3} \rightarrow \mathrm{CaCl}_{2}+\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} \] Express your answer numerically as an integer.
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Solution

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Solution Steps

Step 1: Identify the Number of Sulfate Ions on the Right Side

First, we need to determine the number of sulfate ions on the right side of the equation. The compound \(\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}\) contains 3 sulfate ions because the subscript 3 applies to the entire \(\mathrm{SO}_{4}\) group.

Step 2: Determine the Number of Sulfate Ions Needed on the Left Side

To balance the sulfate ions, we need the same number of sulfate ions on the left side of the equation. Since each \(\mathrm{CaSO}_{4}\) contains 1 sulfate ion, we need 3 \(\mathrm{CaSO}_{4}\) molecules to match the 3 sulfate ions on the right side.

Step 3: Place the Correct Coefficient in Front of \(\mathrm{CaSO}_{4}\)

We place the coefficient 3 in front of \(\mathrm{CaSO}_{4}\) to balance the sulfate ions.

Final Answer

\[ \boxed{3} \]

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