Stoichiometry: Calculate the mass of P₄O₁₀ formed from given reactants. Reaction: P₄ + 5O₂ → P₄O₁₀ Given 1.33 g of P₄ and 5.07 g of O₂ react completely under standard conditions. Find the mass of P₄O₁₀ produced (assume complete reaction and pure reagents). Choose the correct value.
IIT JEE
Chemistry
Difficulty: Medium
Choose an option
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A2.82 g
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B3.05 g
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C4.41 g
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D5.69 g
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E1.94 g
Answer
Correct Answer: 3.046 g
Explanation
Given
- Reaction: P4 + 5O2 → P4O10
- m(P4) = 1.33 g; M(P4) = 4×31 = 124 g/mol
- m(O2) = 5.07 g; M(O2) = 32 g/mol
- M(P4O10) = 4×31 + 10×16 = 124 + 160 = 284 g/mol
ApproachFind the limiting reagent, then compute product moles and mass.
Step-by-stepn(P4) = 1.33/124 = 0.010726 moln(O2) = 5.07/32 = 0.15844 molO2 needed = 5×0.010726 = 0.05363 mol (available 0.15844 mol → excess)P4 is limiting, so n(P4O10) = n(P4) = 0.010726 molm(P4O10) = 0.010726 × 284 = 3.046 g
VerificationSignificant figures from 1.33 and 5.07 → ~3.05 g.
Final Answer3.046 g (≈ 3.05 g).