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Multiple Choice
If a match contained 1.00 g of P, how much P4O10 would form if the following equation was obeyed?___ KClO3 + ___ P → 10 KCl + ___ P4O10
A
36.7 g
B
8.07 × 10–3 g
C
2.29 g
D
9.17 g
Verified step by step guidance
1
First, balance the chemical equation. The reaction given is: \( \text{KClO}_3 + \text{P} \rightarrow \text{KCl} + \text{P}_4\text{O}_{10} \). To balance it, ensure the number of atoms of each element is the same on both sides of the equation.
Identify the molar mass of phosphorus (P) and tetraphosphorus decoxide (P4O10). The molar mass of phosphorus (P) is approximately 30.97 g/mol, and the molar mass of P4O10 is approximately 283.88 g/mol.
Convert the mass of phosphorus given (1.00 g) to moles using the molar mass of phosphorus. Use the formula: \( \text{moles of P} = \frac{\text{mass of P}}{\text{molar mass of P}} \).
Use the stoichiometry of the balanced equation to find the moles of P4O10 produced. From the balanced equation, determine the mole ratio between P and P4O10.
Convert the moles of P4O10 to grams using its molar mass. Use the formula: \( \text{mass of P4O10} = \text{moles of P4O10} \times \text{molar mass of P4O10} \).