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The rate constant and half - life of a first order reaction are related to each other as _____.A. `t_(1//2)=(0.693)/k`B. `t_(1//2)=0.693`C. `k=0.693t_(1//2)`D. `kt_(1//2)=1/0.693`

Answer» Correct Answer - A
For first order reaction, `k=(2.303)/t"log "[[Ag]]/[[A]]`
At `t=t_(1//2),[A]=[A_0]//2`
`k=(2.303)/t_(1//2)(log) [[A_0]]/[[A_0]],k=(2.303)/t_(1//2)log2`
`k=(0.693)/t_(1//2)or t_(1//2)=(0.693)/k`


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