Practice question

Given: A reaction has k = 1.5 × 10⁻⁴ s^{-1 at 300 K and E_a = 54 kJ mol^{-1 . What is the pre-exponential factor A in s^{-1 ? (R = 8.314 J/mol · K) These values define the system as per NCERT data. Formula: k = A e^{-E_a/RT. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: 1.5 × 10⁻⁴= A e^{-54000/(8.314 × 300), A = 1.5 × 10⁻⁴/ e^{-21.63 = 4.2 × __10POW₅__. Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.