किसी अभिक्रिया के 500 K तथा 700 K पर वेग स्थिरांक क्रमशः `0.02s^(-1)`तथा `0.07s^(-1)` है । `E_(a)` एवं C की गणना करे

Explanation

हम जानते है कि
`log(k_(2))/(k_(1))=(E_(a))/(2.303R)[(T_(2)-T_(1))/(T_(1)T_(2))]`
या `log(0.07)/(0.02)=[(E_(a))/(2.303xx8.314JK^(-1)"mol"^(-1))][(700-500)/(700xx500)]`
या, `0.544=((E_(a))/(19.15))((200)/(350000))`
या, `0.544=((E_(a))/(19.15))(2/3500)`
`thereforeE_(a)=(0.544xx19.15xx3500)/2`
`=18228.078J`.
`thereforek=Ce^(-Ea//RT)`
या `"In"k="ln"C-(E_(a))/(RT)`
या, `logk=logC-(E_(a))/(2.303RT)`
या, `log0.02=logC-(18228.078)/(2.303xx8.314xx500)`
या, `log0.02=logC-1.90`
या, `log0.02+1.90=logc`
or, `logC=0.2010`
`thereforeC="Antilog"(0.2010)`
`=1.589`