1.

Rate constant of a first order reaction A to B is 0.0693min^(-1). Calculate rate (i) at start and (ii) after 30 minutes. Initial concentration of A is 1.0M.

Answer»

Solution :`k=0.0693min^(-1)`
`t_((1)/(2))=(0.693)/(k_(1))=(0.693)/(0.0693)=10`min
Since `C=C_(@)((1)/(2))^(n)` `n=(t)/(t_(1//2))`
`n=(30)/(10)=3``C_(@)=1M`
`:.C=1xx((1)/(2))^(3)=(1)/(8)M`
Rate of the reaction at the START of the reaction `=k_(1)xxC_(@)`.
`=10xx0.0693xx1=0.693M min^(-1)`
Rate after `30`min `=k_(1)C=00693xx(1)/(8)=8.66xx10^(-8)M min^(-1)`


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