The first-order rate constant for reaction of a particular organic compound with water varies with temperature as follows: Temperature (KK) Rate Constant (s−1s−1) 300 3.2×10−113.2×10−11 320 1.0×10−91.0×10−9 340 3.0×10−83.0×10−8 355 2.4×10−72.4×10−7 From these data, calculate the activation energy in units of kJ/molkJ/mol.

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The first-order rate constant for reaction of a particular organic compound with water varies with temperature as follows:

Temperature (KK) Rate Constant (s−1s−1)
300 3.2×10−113.2×10−11
320 1.0×10−91.0×10−9
340 3.0×10−83.0×10−8
355 2.4×10−72.4×10−7

From these data, calculate the activation energy in units of kJ/molkJ/mol.

Expert Solution
Step 1 Given data and formula

Using Arrhenius equation,

lnk2k1= EaR1T1 - 1T2

T2 =320 K

T1 = 300 K

k2 = Rate constant of reaction at temp T2 =1.0 * 10-9 s-1

k1 = Rate constant of reaction at temp T1 = 3.2 * 10-11 s-1

E= Activation energy Of reaction

R = gas constant = 8.314 J K-1 mole-1

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