And this problem. We're given a lot of information about a base in an acid and asked to calculate the polarity of the asset. To this end, we're gonna use the equation for malaria and a peaceful to number of moles divided by volume and leaders. I noticed that this equation can be written in three different ways. We can solve for polarity, consult for moles, and Ripe says, and the times, um, is equal number of moles. Or we can call for volume and find the volume A sequel to number of Moles by mole Aridity. These will serve you well as you move through these. Now, I'm gonna go to this thing a lot of detail if you're just here for the solution and you want to see the one step shortcut way of Stoke Yama tree pill tree. Um, but I will take the time to explain each step conceptually. So if you want to skip ahead to the end, you can go ahead and do that. So we have, uh, a lot of information about the space over here knows we have volume and the polarity. So we're gonna use that information to find the missing piece that's the number of mulch to our first step is going to be to find the number of malls of anyway. H the reason why we want more than a wage. Because in this reaction, we're told by nature of the reaction that one more of any U. H reacts with one roll of acetic acid so that I can use the multi more ratio to find malls of the feet of Katherine. So notice that would that does is it gives us more of this substance, and with the volume we can then find the polarity that we're after. So that will be. Our final step is to find similarity up the acid history seal, too. So let's start with that. First, I need my volume in leaders. So this is 0.947 leaders. Polarity it serves us to remember, can be written as you're appointing 00 molds for every one leader. I noticed that when I multiply these together, the leaders cancel out nicely and their product is you're a point. You're a point hero who want each night four well, sodium hydroxide. Okay, now recall that we said that for every one more sodium hydroxide. We have one more of acetic acid, so I don't really need to do any math here. I just know that because of this want to one ratio that I have just as many moves of acetic acid as I did sodium hydroxide. No math involved. I just already know the next step. And then now what? I have multi story of acetic acid volume of the Vedic acid. I confined the polarity by the fighting, given the definition, Willard. So I have 0.1894 more divided by the volume, which in leaders his Euro point Nero to 50 leaders motive units of molds divided by leaders. This is equal to 0.7576 mold over leaders, which is the same thing. Moeller and I'm going to round three significant figures, given that I had three significant for years and all of my initial givens with 0.758 look okay, now let's talk about the shortcut. You have a good grip on all of these things. You can kind of conceptual work your way through it all in one go. So let's start with the volume of acid, just as we did at the top. I have this many leaders of nitric acid, so I need to multiply by the polarity of nitric acid you can treat this polarity is a conversion factor. She could write it either with moles in the numerator, leaders in the numerator and the unit that comes before is gonna guide you. I mean, those us to cancel Next. Remember, we had to change substances. We do that using multiple ratio. One more of acetic acid reacts with warm bowl. Sure, I am. Keep writing H in the three. My God. And the problem back there should be any Uhh you don't really know when will the new age. And finally, I can't divide this results by the volume. Remember, that's for what I have, leader. So your small small This whole product gives me multiple acetic acid and I'm gonna divide mulled by leaders Europe with 0 to 50 beaters, acetic acid solution And what that will give me Smalls, former leaders or polarity. All of that is equal to the same 0.758 Moeller. I don't know, it's the same. I basically did the exact same process the whole way down. This is it in one