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  • Consider a reaction , a first ordor reaction. The initial concentrat

Consider a reaction \mathrm{A \rightarrow B}, a first ordor reaction. The initial concentration of reactant is 5. 0 \, \mathrm{M} and the half life is 15 minutes. The concentration of Reactant left after 1.5 hrs

Option: 1

\mathrm{[A]=0.078}


Option: 2

\mathrm{[A]=0.412}


Option: 3

\mathrm{[A]=0.67}


Option: 4

\mathrm{[A]=0.059}


Answers (1)

\mathrm{\begin{aligned} 1.5 \text { hrs } & \rightarrow 60+30 \\ & =90 \text { minutes } \end{aligned}}

\mathrm{\begin{array}{ll} 90=m \times 15 & {[A]_0=5} \\ m=6 & \end{array}}

\mathrm{\begin{aligned} & {[A]=[A]_0 *\left(\frac{1}{2}\right)^6} \\ & {[A]_0 \times \frac{1}{2 \times 2 \times 2 \times 2 \times 2}} \\ & =\frac{5}{64} \\ & {[A]=\frac{5}{64} M} \end{aligned}}

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Kshitij

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