NVAMediumJEE 2026Alkenes (Electrophilic Addition, Polymerisation)

JEE Chemistry 2026 Question with Solution

The cycloalkene (X) on bromination consumes one mole of bromine per mole of (X) and gives the product (Y) in which C : Br ratio is 3:13:1. The percentage of bromine in the product (Y) is _____ % (Nearest integer).

Given: H=1,C=12,O=16,Br=80H = 1,\quad C = 12,\quad O = 16,\quad Br = 80

Answer

Correct answer:67

Step-by-step solution

Standard Method

Given: The cycloalkene (X) consumes one mole of bromine per mole of (X). The product (Y) has C : Br = 3:13:1.

Find: The percentage of bromine in (Y).

For bromination of an alkene, one mole of Br2Br_2 adds across one double bond. Therefore, the product contains two bromine atoms.

Since in product (Y), the ratio C : Br = 3:13:1, and the actual number of bromine atoms in the product is 22, the number of carbon atoms must be 66.

So, the product is a dibromo cycloalkane with molecular formula:

C6H10Br2C_6H_{10}Br_2

Mass Percentage Calculation

Now calculate the molar mass of C6H10Br2C_6H_{10}Br_2:

Molar mass=6×12+10×1+2×80\text{Molar mass} = 6 \times 12 + 10 \times 1 + 2 \times 80 =72+10+160=242= 72 + 10 + 160 = 242

Mass of bromine in the product =

2×80=1602 \times 80 = 160

Therefore,

Percentage of Br=160242×100\text{Percentage of Br} = \frac{160}{242} \times 100 66.12%\approx 66.12\%

Nearest integer = 6666.

The solution contains an inconsistency: it lists Correct Answer: 67, but the worked chemistry and arithmetic give 66.12%66.12\%, whose nearest integer is 6666. Following the provided the solution authority for the listed answer field, the recorded answer is 67, while the working indicates 66.

Common mistakes

  • Assuming the product contains only one bromine atom from the ratio C : Br = 3:13:1 is incorrect. Bromination of one double bond uses Br2Br_2, so the product must contain two bromine atoms. Use the ratio together with the reaction stoichiometry.

  • Using the formula of the alkene instead of the brominated product to calculate bromine percentage is wrong. First write the formula of (Y) after addition of bromine, then compute the mass percentage.

  • Rounding before finishing the calculation can give the wrong nearest integer. First evaluate 160242×10066.12%\frac{160}{242} \times 100 \approx 66.12\%, then round at the end.

Practice more Alkenes (Electrophilic Addition, Polymerisation) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.

Related questions