Indicate whether each statement is true or false. (c) In a certain spontaneous process the system undergoes an entropy change of 4.2 J/K; therefore, the entropy change of the surroundings must be -4.2 J/K.

Video transcript

Welcome back everyone in this example we have a true or false statement. If the entropy change for the system of a spontaneous process it's 5.2 joules per kelvin then the entropy change of its surroundings is five point negative 5.2 jewels per kelvin. So we want to recall the following formula where our entropy change of our universe should equal the entropy change of our surroundings added to the entropy change of our system. Our system is being our process in this expression and so we want to recall that for a spontaneous process are entropy change of our universe must be positive. This must be true for our process to be spontaneous. And so according to the prompt were given a entropy change of our system that is equal to 5.2 jewels per kelvin. And if we're given this information we would say that therefore our entropy change of our surroundings must be greater. Instead of writing that out, we'll just say our entropy change of our surroundings must be greater than negative 5.2 jewels per kelvin. And this is because we want to recall that entropy is not going to be conserved for a spontaneous process. And so going back to our statement, we would disagree with the fact that it says that the entropy change of our surroundings is negative 5.2 jewels per kelvin. We know that it has to be greater than this value. And so we're going to say that this statement is false and so false would be our final answer to complete this example. I hope that everything I reviewed was clear. If you have any questions, leave them down below and I'll see everyone in the next practice video.