When a hydrocarbon A undergoes complete combustion it requires 11 equivalents of oxygen and produces 4 equivalents of water. What is the molecular formula of A? [2023]

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Solution

Q.
When a hydrocarbon A undergoes complete combustion it requires 11 equivalents of oxygen and produces 4 equivalents of water. What is the molecular formula of A [2023]

1 $C_{11} H_{8}$

2 $C_{11} H_{4}$

3 $C_{5} H_{8}$

4 $C_{9} H_{8}$

Ans.
(4)

$C_{x} H_{y} + (x + \frac{y}{4}) O_{2} \to C O_{2} + \frac{y}{2} H_{2} O$

$a$ $(x + \frac{y}{4}) a$ $(\frac{y}{2}) a$

$Given$ $(x + \frac{y}{4}) a = 11 a$

$x + \frac{y}{4} = 11$

$(\frac{y}{2}) a = 4 a$ $y = 8,$ then $x + \frac{8}{4} = 11$

$x = 9$

$Formula = C_{9} H_{8}$

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