For a first order reaction A → P , the temperature (T) dependent rate constant ( k ) was found to follow the equation lo g k = − ( 2000 ) T 1 + 6.0 . The pre-exponential factor A and the activation

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For a first order reaction A → P , the temperature (T) dependent rate constant ( k ) was found to follow the equation lo g k = − ( 2000 ) T 1 ​ + 6.0 . The pre-exponential factor A and the activation energy E a ​ , respectively, are

TestHub · Accepted Answer

lo g k = lo g A − 2.303 RT E a ​ ​ ...... ( 1 ) Also given lo g k = 6.0 − ( 2000 ) T 1 ​ ...... ( 2 ) On comparing equations, (1) and (2) and ⇒ = ​ lo g A = 6.0 ⇒ A = 1 0 6 s − 1 2.303 R E a ​ ​ = 2000 E a ​ = 2000 × 2.303 × 8.314 38.29 kJ mol − 1 ​

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