16ml of a hydrocarbon is exploded with excess of oxygen and on cooling there was a contraction in volume of 48ml. On addition of caustic soda there was a further contraction of 48ml. The molecular formula of hydrocarbon is

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C₃H₆

C₃H₄

C₃H₈

C₂H₆

answer is A.

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Detailed Solution

$large {C_x}mathop {{H_y}}limits_{(g)} ; + ;left( {x; + ;frac{y}{4}} right){O_2}_{(g)}; to ;xC{O_2}_{(g)}; + ;frac{y}{2}{H_2}O(l)$

16ml 16 (x + y/4)ml 16xml

contraction in volume due to cooling = n_R(gases) - n_P (gases)
$large \therefore ;16 + 16left( {x; + ;frac{y}{4}} right) - 16x = 48 \16; + ;16x; + ;frac{{16y}}{4} - ;16x; = ;48\16; + ;4y; = ;48 \Y = 8$
Contraction in volume when absorbed with caustic soda = $large V_{CO_2}$
$large therefore ;{V_{C{O_2}}}; = ;16x; = ;48$
X = 3
The hydrocarbon is C₃H₈

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