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Question
The rate constant of any reaction increases linearly with increase in temperature. Explain.
Explain
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Solution
This statement is incorrect.
The rate constant of a chemical reaction does not increase linearly with temperature. Instead, it increases exponentially with temperature, as explained by the Arrhenius equation.
The temperature dependence of the rate constant k is given by the Arrhenius equation:
\[\ce{k = Ae^{-E_a/(RT)}}\]
Where:
k = rate constant
A = frequency factor
Ea = activation energy
R = gas constant
T = absolute temperature (in Kelvin)
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