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Vera_Pavlovna [14]
3 years ago
12

A sample of milk kept at 25 °C is found to sour 40 times as rapidly as when it is kept at 4 °C. Estimate the activation energy f

or the souring process.
Chemistry
1 answer:
irga5000 [103]3 years ago
7 0

Answer:

120.575 kJ is the activation energy for the souring process.

Explanation:

The formula for an activation energy is given as:

\log (\frac{K_2}{K_1})=\frac{Ea}{2.303\times R}[\frac{1}{T_1}-\frac{1}{T_2}]

where,

K_1 = rate constant at 25^oC = 40k

K_2 = rate constant at 4^oC = k

Ea = activation energy for the reaction = ?

R = gas constant = 8.314 J/mole.K

T_1 = initial temperature = 25^oC=273+25=298 K

T_2 = final temperature = 4^oC=273+4=277 K

Now put all the given values in this formula, we get:l

\log (\frac{k}{40k})=\frac{Ea}{2.303\times 8.314 J/mol K}[\frac{1}{298K}-\frac{1}{277 K}]

E_a=120,575.61J=120.575 kJ

120.575 kJ is the activation energy for the souring process.

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