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The decomposition of A into product has value of k as 4.5×103s-1 at 10∘C and energy of activation of 60kJmol-1 . At what temperature would k be 1.5×104s-1? Select the correct answer from above options

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Correct Answer - 24∘C k1=4.5×103s-1,k2=1.5×104s-1 T1=10+273=283K,T2=? Ea=60kJmol-1 Using Arrhenius equation : log(k2) k1 = Ea 2.303R ( T2-T1 T1T2 ) log 1.5×104 4.5×103 = 60×1000Jmol-1 2.303×8.314JK-1mol-1 ( T2=283 283T2 ) orlog3.333=3133.63( T2-283 283T2 ) or 0.5228 3133.63 =( T2-283 293T2 ) or0.0472T2=T2-283 or0.9528T2=283 orT2= 283 0.9528 =297K=297-273∘C=24∘C

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