Question

The reaction A(aq) → B(aq) + C(aq) is a first order reaction with respect to A(aq)....

The reaction A(aq) → B(aq) + C(aq) is a first order reaction with respect to A(aq). The half-life of A(aq) is 97.1 s at 25.0oC and its half-life is 64.7 s at 75.0oC. What is its half-life at 50.0oC?

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Answer #1

Constants at home temperature are calculated:

K1 = ln2 / t1 / 2 1 = ln 2 / 97.1 = 7.14E-3

K2 = 0.0107

The activation energy is calculated:

Ln (K2 / K1) = Ea / R * (1 / T1 - 1 / T2)

Ln (0.0107 / 7.14E-3) = Ea / 0.008314 * (1/298 - 1/348)

Cleared Ea = 6.98 kJ / mol

The constant is calculated at 323 K (50 ° C):

ln (K3 / 0.0107) = 6.98 / 0.008314 * (1/348 - 1/323)

K3 = 8.88E-3 is cleared.

The average time is calculated:

t 1/2 = ln 2 / 8.88E-3 = 78.06 s

If you liked the answer, please rate it positively, you would help me a lot, thanks.

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