How many moles of CO can be obtained by reacting 2·0 mole of CH₄ with

How many moles of CO can be obtained by reacting 2·0 mole of CH₄ with 2·0 mole of O₂ according to the equation given below?
CH₄(g) + 1/2 O₂ → CO + 2H₂

2·0
0·5
2·5
4·0
This question was previously asked in
UPSC CDS-2 – 2018
2.0 moles of CO can be obtained by reacting 2.0 mole of CH₄ with 2.0 mole of O₂.
The balanced chemical equation is CH₄(g) + 1/2 O₂ → CO + 2H₂. We need to determine the limiting reactant based on the initial amounts (2.0 mol CH₄ and 2.0 mol O₂).
According to the stoichiometry, 1 mole of CH₄ reacts with 0.5 moles of O₂.
For 2.0 moles of CH₄, 2.0 * 0.5 = 1.0 mole of O₂ is required. We have 2.0 moles of O₂, which is more than required. Thus, CH₄ is the limiting reactant.
The amount of product is determined by the limiting reactant. From the equation, 1 mole of CH₄ produces 1 mole of CO. Therefore, 2.0 moles of CH₄ will produce 2.0 moles of CO.
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