1.

For a first reaction , show that time required for 99% completion is twice the time required for the completion of 90% of reaction.

Answer»

SOLUTION :For a FIRST REACTION, `t =k =(2.303)/t log.a/(a-x)`
99% completion means that
`x =99% ` of a = 0.99a
`:. t_(99%)=(2303)/k log. a/(a-0.99a)=(2.303)/klog 10^2=2xx(2303)/k`
90% completion means that
`x=90% " of " a = 0.90a`
`:. t_(99%)=(2303)/k log. a/(a-0.99a)=(2.303)/klog 10=2303/k`
`(t_(99%))/(t_(90%))=((2xx2303)/k)//(2.303)/k=2 " or " t_90%=2xxt_(90%)`


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