The relation between the rate constant and temperature according to the Arrhenius equation is:

  • A
    $\ln A = \ln K + \frac{E_a}{RT}$
  • B
    $\log K = A \frac{E_a}{RT}$
  • C
    $\ln K = \ln A - \frac{E_a}{RT^2}$
  • D
    $\log A = RT \ln E_a - \ln K$

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Which statement is incorrect for collision theory?

The number of correct statement/s from the following is:
$A.$ Larger the activation energy,smaller is the value of the rate constant.
$B.$ The higher is the activation energy,higher is the value of the temperature coefficient.
$C.$ At lower temperatures,the increase in temperature causes a larger change in the value of $k$ than at higher temperatures.
$D.$ $A$ plot of $\ln k$ vs $\frac{1}{T}$ is a straight line with a slope equal to $-\frac{E_a}{R}$.

The rate of a chemical reaction doubles for every $10\,^{\circ}C$ rise in temperature. If the temperature is increased to $50\,^{\circ}C$ from $0\,^{\circ}C$,by how many times will the rate of reaction increase?

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