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JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics

The rate coefficient \((k)\) for a particular reactions is \(1.3 \times 10^{-4}\,M^{-1}\, s^{-1}\) at \(100\,^oC,\) and \(1.3 \times 10^{-3}\,M^{-1}\,s^{-1}\) at \(150\,^oC\). What is the energy of activation \((E_A)\) (in \(kJ\) ) for this reaction? ( \(R =\) molar gas constant \(= 8.314\,JK^{-1}\,mol^{-1}\) )

  1. A \(16\)
  2. B \(60\)
  3. C \(99\)
  4. D \(132\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(60\)

Step-by-step Solution

Detailed explanation

According to arrhenius equation \(\log \,\frac{{{k_2}}}{{{k_1}}}\, = \,\frac{{{E_a}}}{{2.303\,\,R}}\,\left( {\frac{1}{{{T_1}}}\, - \,\frac{1}{{{T_2}}}} \right)\)…