Question 1.36
NCERT Class XI Chemistry
Chlorine is prepared in the laboratory by treating manganese dioxide (MnO2) with aqueous hydrochloric acid according to the reaction 4 HCl (aq) + MnO2 (s) → 2H2O (l) + MnCl2 (aq) + Cl2 (g) How many grams of HCl react with 5.0 g of manganese dioxide?
Video Explanation
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Solution in Detail
$\displaystyle \underline{\underline{\text{Step 1: Get mols of MnO2}}}$
Atomic mass of Mn = 55u, O = 16u
$\displaystyle \therefore $ molar mass M = 55 + (16 x 2) = 87 g/mol
we know $\displaystyle n = \frac{\text{w}}{\text{M}}$
Given $\displaystyle w = 5\text{ g MnO}_2$
$\displaystyle \therefore n = \bigg(\frac{5}{87}\bigg) \text{ mol MnO}_2$
$\displaystyle \underline{\underline{\text{Step 2: Get mols of HCl}}}$
The given equation gives
1 mol MnO2 reacts with 4 mol HCl
$\displaystyle \therefore \frac{5}{87}$ reacts with $\displaystyle \frac{5}{87} \times 4 = \bigg(\frac{20}{87}\bigg)$ mol HCl
$\displaystyle \underline{\underline{\text{Step 3: Get grams of HCl}}}$
Molar mass of HCl = 1 + 35.5 = 36.5 (g/mol)
but $\displaystyle n = \frac{w}{M}$
$\displaystyle \therefore w = n \times M$
$\displaystyle \therefore w = \bigg(\frac{20}{87}\bigg) \times 36.5 = 8.40\text{ g}\:\underline{Ans}$
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