Number of moles of methane required to produce 22 g CO₂(g) after combustion is x × 10⁻² moles. The value of x is _____

Methane Combustion Numerical | JEE Mains PYQ | Mole Concept

Q. Number of moles of methane required to produce 22 g CO₂(g) after combustion is x × 10⁻² moles. The value of x is ______.

Explanation

Step 1: Write balanced chemical equation

CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(l)

Step 2: Find moles of CO₂ produced

Molar mass of CO₂ = 44 g mol⁻¹
Moles of CO₂ = 22 ÷ 44 = 0.5 mol

Step 3: Mole ratio from balanced equation

1 mole of CH₄ produces 1 mole of CO₂

Step 4: Calculate moles of CH₄ required

Moles of CH₄ required = 0.5 mol

Step 5: Express in x × 10⁻² form

0.5 = 50 × 10⁻²

Correct Answer = 50

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