If for a first order reaction, the value of A and E_a are 4 10^ 13 ~s ^ -1 and 98.6 ~kJ ~mol ^ -1 respectively, then at what temperature will its half life period be 10 minutes?

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Correct answer: D. 311.15 K

According to Arrhenius equation, k= A- E_a 2.303 R T ...(i) For 1^ st order reaction, k= 0.693 t_ 1 / 2 = 0.693 600 s =1.1 10^ -3 ~s ^ -1 Substitute the value of k in Eq. (i) log (1.1 10^ -3 )= (4 10^ 13 )- 98.6 10^3 2.303 8.314 T Solving for T, T=311.15 ~K

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