Some Basic Concepts of Chemistry - Result Question 52

####52. Liquid benzene $(C_6 H_6)$ burns in oxygen according to the equation

$2 C_6 H_6(l)+15 O_2(g) \longrightarrow 12 CO_2(g)+6 H_2 O(g)$

How many litres of $O_2$ at STP are needed to complete the combustion of $39 g$ of liquid benzene? (Mol. wt. of $O_2=32, C_6 H_6=78$ )

(a) $74 L$

(b) $11.2 L$

(c) $22.4 L$

(d) $84 L$

[1996]

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Solution:

  1. (d) $2 C_6 H_6+15 O_2(g) \longrightarrow 12 CO_2(g)+6 H_2 O(g)$ 2(78) 15(32)

$\because \quad 156 g$ of benzene, required oxygen $=15 \times 22.4$ litre

$\therefore 1 g$ of benzene, required oxygen $=\frac{15 \times 22.4}{156}$ litre

$\therefore \quad 39 g$ of benzene, required oxygen

$ =\frac{15 \times 22.4 \times 39}{156}=84.0 \text{ litre } $



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