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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.

Difficulty: Medium

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


Approach
Find the limiting reagent, then compute product moles and mass.


Step-by-step
n(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


Verification
Significant figures from 1.33 and 5.07 → ~3.05 g.


Final Answer
3.046 g (≈ 3.05 g).

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