Question

The rate constant of the reaction $A\to 2B$ is ${1.0\times 10}^{-3}mol{lit}^{-1}{min}^{-1}$, if the initial concentration of A is 1.0 mole $li{t}^{-1}$ what would be the concentration of B after 100 minutes?

• A. $0.1mol{lit}^{-1}$
• B. $0.2mol{lit}^{-1}$
• C. $0.9mol{lit}^{-1}$
• D. $\mathrm{1.8.}mol{lit}^{-1}$

Answer 1

Answer: (C)

$0.9mol{lit}^{-1}$

$k=1\times {10}^{-3}mol{lit}^{-1}{min}^{-1}$

So it is Zero Order Reaction.

$k=\frac{\left[A_0\right]-\left[A\right]}{t}$

t = 100 min, $\left[A_0\right]=1mole{lit}^{-1}$

On substituting,

$\left[A\right]=1-0.1=0.9mol{lit}^{-1}$