In which set of conditions would result in a spontaneous reaction?

A. An exothermic reaction; a decrease in entropy; at high temperatures

B. An exothermic reaction; an increase in entropy; at any temperature

C. An endothermic reaction; an increase in entropy; at low temperatures

D. An endothermic reaction; a decrease in entropy; at any temperature

Respuesta :

Answer: The correct answer is Option B.

Explanation:

For a reaction to be spontaneous, the Gibbs' Free Energy must be negative.

Equation for Gibbs Free energy is given by:

[tex]G=H-TS[/tex]

Where, G = Gibbs free energy

H = Enthalpy of the reaction

T = Temperature of the system

S = Entropy of the system

Sign convention for all the quantities:

For H: It is negative for exothermic reactions and positive for endothermic reactions

For S:  It is positive when there is increase in entropy and it is negative when there is decrease in entropy.

If we want G to be negative, the conditions necessary are:

[tex]G=(-ve)-(+ve)=-ve[/tex]

The product of temperature and entropy must be positive and that will be positive when there is increase in entropy at any temperature.

Hence, the correct answer is Option B.