Which state has higher entropy? Explain in terms of probability. (a) A perfectly ordered crystal of solid nitrous oxide

or a disordered crystal in which the molecules are oriented randomly (b) Quartz glass (an amorphous solid) or a quartz crystal

Video transcript

Hello everyone. So in this problem we have parts A and parts B. But we're basically just doing the same thing which is to find out which one has a higher entropy value. So for entropy, let's actually write this out as well. So what entropy is this is a measure of disorder or randomness. So to correctly rank substances in terms of entropy, the following must be taken into consideration. So we're arranging this in course and priority. So for one it's going to be phase. So in terms of entropy we have gas has more entropy than liquid, which has more entropy than solids. So gasses molecules are more mobile and collide more compared to our liquid and solid particles. That this one is why it has the higher entropy value. And what this means is for more mobility and molecules implies more randomness and liquid molecules of course the slide past one another and solid molecules are just fixed. So that's why face is very important for us. So the second here here is the complexity. So when a compound has more elements than the other than the former has more randomness to it. And more entropy. So third will be our mass. The greater the mass of the substance, the greater the randomness there is its particles has more entropy. So for part A here we're comparing a perfectly ordered crystal of solid carbon dioxide and a disordered crystal of solid carbon dioxide. So we can go ahead and do this in green. So this part. So keep in mind then that a disordered solid carbon dioxide will have more entropy And because here we have the same phase. So the complexity in terms of the number of elements and the molecular mass. This is all the same. However, it's already see that one is an ordered crystal and the other one is disordered crystal. So of course we have more disordered one and the one that is disordered. So the words here, perfectly ordered and disordered are already indicative of either randomness or a lack of randomness. So a disorder substance has more randomness to its particles than a perfectly ordered crystal. So that's why you can say that a disordered crystal of solid carbon dioxide will be our answer. So I'm gonna go ahead and highlight the answer. That's a disordered solid carbon dioxide. Alright, so for part B. Then we're comparing a titanium dioxide crystal and an amorphous powder of titanium dioxide. So for part B. Here, the amorphous powder of titanium dioxide has more attribute. Alright, so here we have the same phase and the complexity. So in terms of the number of elements and also the mass as well, however, one is a crystal and the other is a morph a solid. So for a crystalline solid, it has the atom being arranged in a fixed and regular pattern while an amorphous solid has a more random arrangement than a crystal. So basically the amorphous solid has more randomness to its particles. So the answer here, which alcohol and highlight is the amorphous powder of titanium dioxide that has or that is the answer. So for part A then it is a disordered solid of carbon dioxide, and for part B, it's amorphous powder of titanium dioxide.