At 300 K, for the reaction A → P, the ∆Ssys is 5 J K-1 mol-1. What is the heat absorbed (in kJ mol-1) by the system?
Step 1: Using the relation between heat and entropy
- From thermodynamics, \[ q = T \Delta S_{sys} \] where \( q \) is heat absorbed, \( T \) is temperature, and \( \Delta S \) is entropy change.
Step 2: Substituting values \[ q = (300 K) \times (5 J K^{-1} mol^{-1}) \] \[ = 1500 J mol^{-1} \] \[ = 1.5 \text{ kJ mol}^{-1} \]
Assertion (A): In a first order reaction, if the concentration of the reactant is doubled, its half-life is also doubled.
Reason (R): The half-life of a reaction does not depend upon the initial concentration of the reactant in a first order reaction.