Chapter 20.2, Problem 20.3AFP

Interpretation Introduction

Interpretation: The value of change in enthalpy of the reaction, change in entropy of surrounding, and change in entropy of reaction needs to be calculated if the reaction is spontaneous at 298 K.

Concept Introduction: A reaction is said to be spontaneous if the value of change in Gibbs free energy is negative. The relation between the change in Gibbs free energy, change in enthalpy, and change in entropy at a given temperature is represented as follows:

  $\Delta G=\Delta H-T\Delta S$

Also, the relation between change in enthalpy of reaction and change in enthalpy of the surrounding is as follows:

  $\Delta S_{\text{surrounding}}=-\frac{\Delta H_{\text{reaction}}}{T}$

Here, T is the absolute temperature.

The relation between change in entropy of reaction and that of the surrounding is as follows:

  $\Delta S_{\text{universe}}=\Delta S_{\text{reaction}}+\Delta S_{\text{surrounding}}$