nA→B is a 1st order reaction, whose concentration versus time curve is given below
If the half - life for the reaction is 24 minutes, then the value of n is
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is C 3 nA→B
half life for 1st order t12=0.693n×k n×k=0.69324(i)
At t=48min[A]=[B] nA⟶B t=0A00 t=48A0−nxx A0−nx=x⇒A0=nx+x [A]t=48=x
On applying integrated rate equation for t=48 −1nd[A]dt=k[A] −1nln[A][A0]=k×t −1nln[x][nx+x]=k×t −ln1[n+1]=k×t×n
substitute value of n×k from (i) −ln1[n+1]=48×0.69324 n=3