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The rate constant , the activation energy and the arrhenius parameter of a chemical reaction at 25^(@)C and 3.0 xx 10^(4) s^(-1) , 104. 4 kJ mol^(-1) and 6.0 xx 10^(14) s^(-1) respectively . The value of the rate constant as T to oo is |
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Answer» `2.0 xx 10^(18) s^(-1)` `E_(a) = 104.4 kJ mol^(-1) = 104.4 xx 10^(3) J mol^(-1)` `k_(1) = 3 xx 10^(-4), k_(2) = ? implies log (k_(2))/(k_(1)) = (E_(a))/(2.303R) [(1)/(T_(1)) - (1)/(T_(2))]` log `(k_(2))/(3 xx 10^(-4)) = (104.4 xx 10^(3) J mol^(-1))/(2.303 xx (8.314 J k^(-1) mol^(-1)))` `[(1)/(298K) -(1)/(T)]` As `T implies OO (1)/(T) to 0` `therefore` log `(k_(2))/(3 xx 10^(-4)) = (104.4 xx 10^(3) J mol^(-1))/(2.303 xx 8.314 xx 298)` log `(k_(2))/(3 xx 10^-4) = 18.297 , (k_(2))/(3 xx 10^(-4)) = 1.98 xx 10^(18)` or `k_(2) = (1.98 xx 10^(18)) xx (3 xx 10^(-4)) = 6 xx 10^(14) s^(-1)`. |
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