A sample containing sulfate ions ( $\mathrm{SO} 42$ - ) is dissolved in water. Precipitation with barium chloride $(\mathrm{BaCl} 2)$ forms of barium sulfate $(\mathrm{BaSO} 4)$. Calculate the percentage of sulfate in the original sample

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∻Solution∻ ‖ 1 ⋮ **Write the balanced chemical equation**: The precipitation reaction between sulfate ions and barium chloride can be represented by the balanced chemical equation: $\mathrm{BaCl}_2(aq) + \mathrm{SO}_4^{2-}(aq) ightarrow \mathrm{BaSO}_4(s) + 2\mathrm{Cl}^-(aq)$. ‖ ‖ 2 ⋮ **Relate moles of barium sulfate to sulfate ions**: From the balanced equation, it is clear that 1 mole of $\mathrm{BaSO}_4$ is produced from 1 mole of $\mathrm{SO}_4^{2-}$. ‖ ‖ 3 ⋮ **Calculate the mass of sulfate ions**: To find the percentage of sulfate in the original sample, we need the mass of $\mathrm{SO}_4^{2-}$ which can be calculated if the mass of $\mathrm{BaSO}_4$ precipitate is known. Assume we have $m$ grams of $\mathrm{BaSO}_4$. The molar mass of $\mathrm{BaSO}_4$ is $233.39 \, \mathrm{g/mol}$ and that of $\mathrm{SO}_4^{2-}$ is $96.06 \, \mathrm{g/mol}$. The mass of $\mathrm{SO}_4^{2-}$ in the precipitate is given by: $\left(\frac{96.06}{233.39} ight) imes m$ grams. ‖ ‖ 4 ⋮ **Calculate the percentage of sulfate**: If the original sample had a mass of $M$ grams, the percentage of sulfate is: $\left(\frac{\left(\frac{96.06}{233.39} ight) imes m}{M} ight) imes 100\%$. ‖ ∻Answer∻ ⚹ To calculate the percentage of sulfate in the original sample, the mass of the $\mathrm{BaSO}_4$ precipitate and the mass of the original sample are required. Once these values are known, the percentage can be calculated using the formula: $\left(\frac{\left(\frac{96.06}{233.39} ight) imes m}{M} ight) imes 100\%$. ⚹ ∻Key Concept∻ ⚹ Stoichiometry of the precipitation reaction ⚹ ∻Explanation∻ ⚹ The stoichiometry of the reaction between sulfate ions and barium chloride is used to relate the mass of barium sulfate precipitate to the mass of sulfate ions, which is then used to calculate the percentage of sulfate in the original sample.◊What is the balanced chemical equation for the reaction between sulfate ions and barium chloride to form barium sulfate?⍭ Generate me a similar question◊⚹

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