Find the correct equation among the following.

Find the correct equation among the following.
  1. \(\ln k-\ln A=\frac{E_a}{R T}\)
  2. \(k=\frac{A E_{\mathrm{a}}}{R T}\)
  3. \(\ln k+\ln A=\frac{E_a}{R T}\)
  4. \(\frac{E_a}{R T}=\ln A-\ln k\)

Solution

The temperature dependence of the rate of a chemical reaction can be explained by Arrhenius equation, \(\begin{array}{rlrl} \Rightarrow & k=A \cdot e^{-E_a / R T} \\ \Rightarrow & \ln k =\ln A-\frac{E_a}{R T} \\ & \frac{E_a}{R T} =\ln A-\ln k \end{array}\)

Asked in: AP EAMCET 2020 (17 Sep Shift 1)

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