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$\mathrm{\mathrm{C}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{CO}_{2}(\mathrm{~g})+400 \mathrm{~kJ}}$

$\mathrm{C}(\mathrm{s})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{CO}(\mathrm{g})+100 \mathrm{~kJ}$

When coal of purity $\mathrm{60 \%}$ is allowed to burn in presence of insufficient oxygen, $\mathrm{60 \%}$ of carbon is converted into $\mathrm{ ' \mathrm{CO} '}$ and the remaining is converted into $\mathrm{{ }^{\prime} \mathrm{CO}_{2} '.}$ The heat generated when $\mathrm{ 0.6 \mathrm{~kg}}$ of coal is burnt is ____________.
Option: 1
$\mathrm{1600 \mathrm{~kJ}}$

Option: 2
$3200 \mathrm{~kJ}$

Option: 3
$4400 \mathrm{~kJ}$

Option: 4
$6600 \mathrm{~kJ}$

Answers (1)

best_answer

Given sample of coal weight 600 g of purity 60 % .
$\mathrm{\text{Actual carbon present}= 360 \, g \, C}$
of
360 g of C , 60 % burns to give CO while rest to form completely to give $\mathrm{CO_{2}.}$

$\mathrm{C+\frac{1}{2}O_{2}\longrightarrow CO \quad 100\, KJ/mol}$
210 g
18 mole    $\mathrm{\Delta H= 18\times 100}$
   $\mathrm{= 1800\, KJ}$

$\mathrm{C+O_{2}\longrightarrow CO_{2} \quad 100\, KJ/mol}$
144g
12 mole $\mathrm{\Delta H= 12\times 400}$
$\mathrm{= 4800\, KJ}$

$\mathrm{ \text{Total heat generated }=(4800+1800) \mathrm{kJ}}$
$\mathrm{ = 6600\, KJ}$

Correct option is (D).

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