JEE Advanced2021_S2 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE Advance2021

Paper-2

Multiple correct answers - Select all that apply

Question

For the following reaction $$ 2 X+Y \xrightarrow{K} P $$ the rate of reaction is $\frac{d[P]}{d t}=k[X]$. Two moles of $X$ are mixed with one mole of $Y$ to make 1.0 L of solution. At $50 \mathrm{~s}, 0.5$ mole of Y is left in the reaction mixture. The correct statement(s) about the reaction is(are) (Use: In 2 = 0.693)

Select ALL correct options:

The rate constant, k, of the reaction is $13.86 \times 10^{-4} \mathrm{~s}^{-1}$.

Half-life of X is 50 s .

At $50 \mathrm{~s},-\frac{\mathrm{d}[\mathrm{X}]}{\mathrm{dt}}=13.86 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}$.

At $100 \mathrm{~s},-\frac{\mathrm{d}[\mathrm{Y}]}{\mathrm{dt}}=3.46 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}$.

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution