Question 1.4
NCERT Class XI Chemistry
Calculate the amount of carbon dioxide that could be produced when (i) 1 mole of carbon is burnt in air. (ii) 1 mole of carbon is burnt in 16 g of dioxygen. (iii) 2 moles of carbon are burnt in 16 g of dioxygen.
Video Explanation
(detailed solution given after this video)
Please watch this youtube video for a quick explanation of the solution:
Solution in Detail
Molar mass of $\displaystyle \text{CO}_2$ = 12 + 2 x 16 = 44 g/mol
Write the balanced equation first
$\displaystyle \text{C (s)} + \text{O}_2\text{ (g)} \rightarrow \text{CO}_2\text{ (g) . . . (1)}$
$\displaystyle \underline{\underline{\text{Part (i)}}}$
Given: 1 mol carbon + excess dioxygen
by (1) $\displaystyle 1 \text{ mol C will give } 1 \text{ mol CO}_2$
but molar mass of CO2 is 44 g/mol
$\displaystyle \therefore 1 \text{ mol CO}_2 \text{ produced } \equiv 44\text{ g CO}_2\:\underline{Ans} $
$\displaystyle \underline{\underline{\text{Part (ii)}}}$
Given: 16 g dioxygen ≡ 1/2 mol $\displaystyle \text{O}_2$
Also given: 1 mol carbon
by (1) $\displaystyle 1\text{ mol C reacts }\equiv 1 \text{ mol O}_2$
but we have only 1/2 mol dioxygen
$\displaystyle \text{hence 1/2 mol dioxygen is limiting reagant}$
Adjust the equation:
$\displaystyle \underset{1/2 \text{ mol}}{\text{C (s)}} + \underset{1/2 \text{ mol}}{\text{O}_2\text{ (g)}} \rightarrow \underset{1/2 \text{ mol}}{\text{CO}_2\text{ (g)}}$
$\displaystyle \implies \frac12 \text{ mol CO}_2 $ produced
but molar mass of CO2 is 44 g/mol
$\displaystyle \therefore 1/2 \times 44 = 22 \text{ g CO}_2 \:\underline{Ans} $
$\displaystyle \underline{\underline{\text{Part (iii)}}}$
dioxygen, being less, will still be the limiting reagant
Hence, the answer remains same $\displaystyle 22 \text{ g CO}_2 \:\underline{Ans}$
Stoichiometry Concept
First write the balanced chemical equation.
Then convert grams to moles for all reactants and products.
Find the limiting reagant - the one that will be consumed first.
Adjust the multipliers according to the moles of the limiting reagant.
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