1.

b) Show that the half - life period of a first order reaction is independent of initial concentration of reacting species.

Answer»

SOLUTION :b) The integrated rate EQUATION for first order reaction is ,
`k=(2.303)/(t)log""([R]_(0))/([R])`
`t=(2.303)/(k)log""([R]_(0))/([R])`
When `t=t_(1)` then `[R]=([R]_(0))/(2)`
`t_((1)/(2))=(2.303)/(k)log""([R])/(([R])/(2))`
`t_((1)/(2))=(2.303)/(k)log2`
`t_((1)/(2))=(0.693)/(k)`
From above equation it is clear that half life of a first order reaction is inversely proportional to rate constant and is independent of initial concentration of the reactants.


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