Solveeit Logo

Question

Question: For a first order reaction (1) products the concentration of A changes from 0.1 M to 0.025 M in 40 ...

For a first order reaction (1) products the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. The rate of reaction when the concentration of A is 0.01 M is :

A

ext1.73×1ext0ext5extM/min ext{1.73 × 1} ext{0}^{ ext{-5}} ext{ M/min}

B

ext3.47ext×ext1ext0ext4extM/min ext{3.47 } ext{×} ext{ 1} ext{0}^{ ext{-4}} ext{ M/min}

C

ext3.47×1ext0ext5extM/min ext{3.47 × 1} ext{0}^{ ext{-5}} ext{ M/min}

D

ext1.73ext×ext1ext0ext4extM/min ext{1.73 } ext{×} ext{ 1} ext{0}^{ ext{-4}} ext{ M/min}

Answer

ext3.47ext×ext1ext0ext4extM/min ext{3.47 } ext{×} ext{ 1} ext{0}^{ ext{-4}} ext{ M/min}

Explanation

Solution

K=140In0.10.025=140In4R=K[A]1K = \frac{1}{40}In\frac{0.1}{0.025} = \frac{1}{40}In4R = K\lbrack A\rbrack^{1}

=140In4(.01)=2In240(0.1)= \frac{1}{40}In4(.01) = \frac{2In2}{40}(0.1) = 3.47 × 10–4