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A sample of ‘a’ g of carbon is burnt with ‘b’ gms of oxygen in a closed rigid container and no residue left. Select the correct option about relative amounts of oxygen and carbon :

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$\frac{b}{a}$ must be greater than 2.67

$\frac{b}{a}$ must be less than 1.33

$\frac{a}{b}$ must be less than 1.33

$\frac{b}{a}$ must be between 1.33 and 2.67

answer is D.

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Detailed Solution

$C + \frac{1}{2} O_{2} \to CO & C + O_{2} \to {CO}_{2}$
$\frac{mass of oxygen}{mass of carbon} = 1.33 \frac{mass of oxygen}{mass of carbon} = 2.67 ∴ 1.33 < \frac{b}{a} < 2.67$

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