JEE Main · 2024 · Shift-ImediumPB11-015

The number of neutrons present in the more abundant isotope of boron is 'x'. Amorphous boron upon heating with air…

p-Block Elements (Class 11) · Class 11 · JEE Main Previous Year Question

Question

The number of neutrons present in the more abundant isotope of boron is 'xx'. Amorphous boron upon heating with air forms a product, in which the oxidation state of boron is 'yy'. The value of x+yx + y is ____\_\_\_\_

Options
  1. a

    3

  2. b

    9

  3. c

    4

  4. d

    6

Correct Answerb

9

Detailed Solution

Strategy: Find x (neutrons in the most abundant boron isotope) and y (oxidation state of boron in its oxide with air), then sum them.

Step 1: Most Abundant Isotope of Boron Boron has two naturally occurring isotopes: \ce10B\ce{^{10}B} (~20%) and \ce11B\ce{^{11}B} (~80%). The more abundant isotope is \ce11B\ce{^{11}B}.

  • Atomic number = 5, Mass number = 11
  • Neutrons = 11 − 5 = 6 So x=6x = 6.

Step 2: Product of Boron + Air (Oxidation State) \ce4B+3O2Δ2B2O3\ce{4B + 3O2 \xrightarrow{\Delta} 2B2O3} In \ceB2O3\ce{B2O3}: Let ox. state of B = y. Then 2y+3(2)=0y=+32y + 3(-2) = 0 \Rightarrow y = +3. So y=+3y = +3.

Step 3: Sum x+y=6+3=9x + y = 6 + 3 = \boxed{9}

Answer: (B) 9\boxed{\text{Answer: (B) 9}}

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