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JEE Main 202329 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Hydrocarbons

JEE Main 2023 · 29 January · Evening Shift · Chemistry · Hydrocarbons

When a hydrocarbon A undergoes combustion in the presence of air,...

When a hydrocarbon AA undergoes combustion in the presence of air, it requires 9.59 . 5 equivalents of oxygen and produces 33 equivalents of water. What is the molecular formula of AA?

Options

  1. AC8H6{C}_{8}{H}_{6}
  2. BC9H9{C}_{9}{H}_{9}
  3. CC6H6{C}_{6}{H}_{6}
  4. DC9H6{C}_{9}{H}_{6}

Correct answer

A. C8H6{C}_{8}{H}_{6}

Step-by-step solution

CxHy+(x+y4)O2→xCO2+y2H2O{C}_{x}{H}_{y} + \left(x + \dfrac{y}{4}\right){O}_{2} \to {xCO}_{2} + \dfrac{y}{2}{H}_{2}O

Number of equivalents of O2{O}_{2} = Number of equivalents of H2O{H}_{2}O

Number of equivalents of H2O=y2=3⇒y=6{H}_{2}O=\dfrac{y}{2} = 3 ⇒ y = 6

Number of equivalents of O2=x+y4=9.5{O}_{2}=x + \dfrac{y}{4} = 9 . 5

⇒x+64=9.5⇒ x + \dfrac{6}{4} = 9 . 5

⇒x+1.5=9.5⇒ x + 1 . 5 = 9 . 5

⇒x=9.5−1.5=8⇒ x = 9 . 5 - 1 . 5 = 8

⇒x=8,y=6⇒ x = 8, y = 6.

So, the formula is C8H6{C}_{8}{H}_{6}.

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