What mass of phosphoric acid (H₃PO₄, 98.00 g/mol) is produced from the reaction of 10.00 g of P₄O₁₀ (283.89 g/mol) with 6.00 g water (18.02 g/mol)?

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Quizplus · Accepted Answer

The reaction between phosphorus pentoxide ($P_2O_5$) and water ($H_2O$) produces phosphoric acid ($H_3PO_4$). The balanced chemical equation for this reaction is:$$P_2O_5 + 3H_2O \rightarrow 2H_3PO_4$$First, we find the moles of $P_2O_5$ and $H_2O$:- Moles of $P_2O_5 = \frac{10.00 \, \text{g}}{283.89 \, \text{g/mol}} = 0.0352 \, \text{mol}$- Moles of $H_2O = \frac{6.00 \, \text{g}}{18.02 \, \text{g/mol}} = 0.333 \, \text{mol}$The stoichiometry of the reaction shows that 1 mole of $P_2O_5$ reacts with 3 moles of $H_2O$ to produce 2 moles of $H_3PO_4$. Therefore, $P_2O_5$ is the limiting reagent in this reaction.From the moles of $P_2O_5$, we can find the moles of $H_3PO_4$ produced:- Moles of $H_3PO_4 = 2 \times \text{moles of } P_2O_5 = 2 \times 0.0352 = 0.0704 \, \text{mol}$Finally, we find the mass of $H_3PO_4$ produced:- Mass of $H_3PO_4 = \text{moles of } H_3PO_4 \times \text{molar mass of } H_3PO_4 = 0.0704 \, \text{mol} \times 98.00 \, \text{g/mol} = 6.8992 \, \text{g}$However, none of the provided options exactly match the calculated mass. The closest option to the calculated mass is 6.8992 g, which is not listed. Given the options, it seems there might have been a mistake in the calculation or interpretation of the question. Based on the standard approach to solving this type of problem, none of the provided options (A, B, C, D, E) directly match the calculated result. Re-evaluating the calculation process:- The correct calculation involves determining the limiting reagent, calculating the moles of product based on the stoichiometry, and then converting those moles to grams.- Given the stoichiometry and the masses provided, the calculation should lead to a straightforward answer if done correctly.Given the discrepancy, it's important to carefully review the stoichiometry, the molar masses, and the calculations to ensure accuracy. The response provided was based on a standard approach to solving stoichiometry problems, but without an exact match in the options, it suggests a reevaluation or clarification of the question or options might be necessary.

What Mass of Phosphoric Acid (H3PO4, 98

What Mass of Phosphoric Acid (H₃PO₄, 98