Question

Rate constant $k=2.303mi{n}^{-1}$ for a particular reaction.The initial concentration of the reaction is $1mol/litre$ then, rate reaction after $1$ minute is:

• A. $2.303Mmi{n}^{-1}$
• B. $0.2303Mmi{n}^{-1}$
• C. $0.1Mmi{n}^{-1}$
• D. $noneofthese$

Answer 1

Answer: (B)

$0.2303Mmi{n}^{-1}$

Its a 1st Order Reaction. As the unit of rate constant is $mi{n}^{-1}$

$k=\frac{2.303}{t}\times log\frac{\left[A_0\right]}{\left[A\right]}$

Given, $\left[A_0\right]=1mol/litre$ and $t=1min$

On Substituting, We get $A=0.1mol/lit$

Rate = $k\times \left[A\right]$

Rate = $0.2303M{min}^{-1}$