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A certain reaction \mathrm{A+B \rightarrow C}  is first order w.r.t to each of reactant with  \mathrm{K=10^{-2} \mathrm{~L}}  \mathrm{\mathrm{mol}^{-1} \mathrm{~s}^{-1}}  Calculate the concentration of  \mathrm{\mathrm{A}}  remaining after \mathrm{100 \mathrm{~s}}  if initial concentration of each reactant was  \mathrm{0.1 \mathrm{M}}.

Option: 1

1.11 M 


Option: 2

0.09 M


Option: 3

0.06 M 


Option: 4

0.07 M


Answers (1)

best_answer

For a second order reaction 

\mathrm{1 / \mathrm{A}=1 / \mathrm{A}_0+\mathrm{Kt}}
\Rightarrow 1 / \mathrm{A}=\frac{1}{0.1 \mathrm{~mol} / \mathrm{L}}+10^{-2} \mathrm{~L} \mathrm{~mol}^{-1} \mathrm{~s}^{-1} \times 100 \mathrm{~s}
\Rightarrow 1 / \mathrm{A}=10 \mathrm{~L} \mathrm{~mol}^{-1}+1 \mathrm{~L} \mathrm{~mol}^{-1} \\
\mathrm{\Rightarrow A=\frac{1}{11 \mathrm{~L} / \mathrm{mol}}=0.09 \mathrm{~mol} / \mathrm{L}}
 

Posted by

Gaurav

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