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Determine the limiting reactant. \( \mathrm{CS}_{2}(\mathrm{~g})+3 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{CO}_{2}(\mathrm{~g})+2 \mathrm{SO}_{2}(\mathrm{~g}) \) Express your answer as a chemical formula. \( \square \) A chemical reaction does not occur for this question.

Ask by Lawson Zimmerman. in the United States
Mar 11,2025

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Answer

Cannot determine the limiting reactant without knowing the amounts of \(\mathrm{CS}_2\) and \(\mathrm{O}_2\).

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We begin with the balanced chemical equation \[ \mathrm{CS}_2 + 3\,\mathrm{O}_2 \rightarrow \mathrm{CO}_2 + 2\,\mathrm{SO}_2. \] To determine the limiting reactant, we need to know the amount (in moles or mass) of each reactant present. In general, if we denote the number of moles of \(\mathrm{CS}_2\) as \(n_{\mathrm{CS}_2}\) and of \(\mathrm{O}_2\) as \(n_{\mathrm{O}_2}\), we compare the mole ratio required by the balanced equation to the mole ratio available. The reaction requires 3 moles of \(\mathrm{O}_2\) for every 1 mole of \(\mathrm{CS}_2\). Thus, one approach is to compute \[ \text{Required moles of } \mathrm{O}_2 = 3 \, n_{\mathrm{CS}_2}. \] Then, if - \(n_{\mathrm{O}_2} < 3\,n_{\mathrm{CS}_2}\), \(\mathrm{O}_2\) is the limiting reactant. - \(n_{\mathrm{O}_2} > 3\,n_{\mathrm{CS}_2}\), \(\mathrm{CS}_2\) is the limiting reactant. - \(n_{\mathrm{O}_2} = 3\,n_{\mathrm{CS}_2}\), the reactants are exactly enough to react completely. Because no numerical amounts are provided, there is no basis for choosing one reactant over the other. Without an initial quantity (mass, volume, or moles) for either reactant, it is impossible to determine which one is limiting. Therefore, since no quantities are provided, we cannot determine a unique limiting reactant. \[ \boxed{\text{Insufficient data}} \]

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To determine the limiting reactant, let's consider a hypothetical scenario where we start with a certain amount of \( \mathrm{CS}_{2} \) and \( \mathrm{O}_{2} \). For every 1 mole of \( \mathrm{CS}_{2} \), the reaction requires 3 moles of \( \mathrm{O}_{2} \). If you have, for example, 1 mole of \( \mathrm{CS}_{2} \), you would need 3 moles of \( \mathrm{O}_{2} \) to fully react. If you only have 2 moles of \( \mathrm{O}_{2} \) available, \( \mathrm{O}_{2} \) would be the limiting reactant since you wouldn't have enough to react with all of the \( \mathrm{CS}_{2} \). In most chemical reactions, determining the limiting reactant is crucial because it dictates the amount of products formed. If \( \mathrm{CS}_{2} \) is in excess compared to the \( \mathrm{O}_{2} \), the reaction will stop once all the \( \mathrm{O}_{2} \) is consumed, leaving some \( \mathrm{CS}_{2} \) unreacted. Always keep an eye on the mole ratios to avoid any surprises in your yield!

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