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10ml of a gaseous hydrocarbon of formula $C_{x} H_{y}$ requires 30ml of oxygen gas for complete combustion. The volume of $C O_{2}$ gas formed under identical condition of temperature and pressure is 20ml. Then the value of $x + y$ is_____________

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answer is 6.

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Detailed Solution

$C_{x} H_{y} + (x + \frac{y}{4}) O_{2} \to x {CO}_{2} + \frac{y}{2} H_{2} O \begin{array}{l} C_{x} H_{y} + (x + \frac{y}{4}) O_{2} \to x {CO}_{2} + \frac{y}{2} H_{2} O \\ 1ml x \\ 10 m l 10 x ml \end{array} V o l u m e o f C O_{2} g a s = 10 x ml =20 X = 2 V o l u m e o f O_{2} g a s = 10 (x + \frac{y}{4}) = 30 Y = 4 x + y = 6$

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