Give an equation that relates the entropy change in the surroundings to the enthalpy change in the system. What is the sign of ∆Ssurr for the following? (a) An exothermic reaction (b) An endothermic reaction

Video transcript

Hey everyone were asked which of the following statements is correct. Starting with a. We have the change in entropy of our surroundings is equal to the change in entropy of our surroundings divided by temperature is an equation that shows the relationship between the entropy change in the surroundings and the n therapy change of the system. So this statement is actually going to be false. And the reason why is because we know that our equation is actually the change in entropy of our surroundings is equal to the negative change of entropy of our system divided by our temperature. So the change in entropy of our surroundings is directly proportional to the entropy change of the system but inversely proportional to our kelvin temperature of these surroundings. Looking at B we have the change in entropy of our surrounding is positive for an exa thermic reaction. So let's go ahead and think about what we know about an exit thermic reaction. We know that X. A. Thermic reactions lose energy release heat and the temperature of the surrounding increases and this would mean that we have a negative delta H. So we're increasing random motion of the molecules of the surroundings. So this statement is going to be correct but let's go ahead and assess answer choice. C. Answer choice C. Tells us that the change in entropy of our surroundings is positive for an endo thermic reaction. Now an endo thermic reaction gains energy absorbs heat and the temperature of our surroundings decreases. So we have a positive delta H. So this decreases the random motion of the molecules of these surroundings. So this means that we have a negative change in entropy of our surroundings. So this statement is going to be false and our answer here is going to be answer choice B. Now I hope that made sense and let us know if you have any questions.