Partial molar property

Okay kiddo, imagine you have a big jar of cookies. Each cookie has its own special deliciousness, right? But what if we want to know how much of a certain ingredient is in each cookie? That's where partial molar properties come in.

A partial molar property is like a special ingredient in a cookie. Let's say we want to know how much sugar is in each cookie. We could take a few cookies and mix them together to make a big batch, and then measure how much sugar is in the whole batch. Then we divide that amount by the number of cookies, and we have an average amount of sugar per cookie.

But what if we want to know how much sugar is in each individual cookie? We can use partial molar properties to do that. It's like taking out just one cookie and measuring how much sugar is in it. But we can't actually take out just one molecule of sugar and measure it – that's too tiny! So we use a math trick instead.

We know that the amount of sugar in the whole batch of cookies depends on how many cookies there are, right? If we add more cookies, the total amount of sugar will go up. So we can figure out how much the total amount of sugar changes when we add just one more cookie, and that tells us how much sugar is in that one cookie.

It's like if you have a bag of marbles and you want to know how much one marble weighs. You could weigh the whole bag of marbles, then take out one marble and weigh the bag again. The difference in weight tells you how much one marble weighs, even though you didn't actually weigh just one marble.

So, partial molar properties help us figure out how much of a specific ingredient is in each tiny part of a big mixture. We can use math tricks to figure out how much of a substance is in just one little part, even though we can't actually measure it directly. Cool, huh?