CGPET 2018 Solved Paper

Section: Chemistry

Question : 78 of 150

Marks: +1, -0

n=

order of reaction

Solution:

For the given plot,

\log t_{1/2}

is constant for allconcentration terms

(a)

, means the reaction is of first order i.e.

n=1

where,

n=

order of reaction

For first order,

t_{1/2}=\frac{2.303}{k} \cdot \log \frac{a}{a-x}

t_{1/2}=\frac{2.303}{k} \log \frac{a}{a/2}

where,

k=

rate constant

a=

initial concentration

x=

concentration at

t=t_{1/2}

t_{1/2}=

Half-life of the reaction

t_{1/2}=\frac{2.303}{k} \log 2

or,

t_{1/2}=\frac{2.303 \times 0.3010}{k}

t_{1/2}=\frac{0.693}{k}

Hence, (c) is the correct answer.

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