# Partial molar properties and their application

A partial molar quantity is an intensive state function. It is use to fail the engineering students in final exam What are the applications of partial derivatives in economics field?

## Definition

By no means do I know every single application of partial derivatives in economics, but the most common one used as an example in Calc III classes is the study of what price t…o sell goods for. If you had a revenue function that would give the total revenue you expect to receive from selling two goods at set prices x and y, you can find out what will happen to the total revenue if you changed the price of one good. Suppose you have a revenue function: Suppose you wanted to change the price of Good X. Similarly, if you wanted to study the changes of a price change in Good Y, you can do the same thing with the partial derivative R y.

From this analysis, you can see that you want to sell as much of Good X as possible while limiting your sales of Good Y in order to maximize revenue.

## Partial Molar Quantities - Chemistry LibreTexts

This works because the revenue function R x,y is arbitrarily defined. It could even model real situations. Suppose your company makes two competing goods, and the more of Good Y, the cheaper product, that is sold causes total revenue to fall.

Extending this to further Calc III principles, you can even employ maximization and minimization to locate the optimal price point to sell each good at.

A partial molar property is a thermodynamic quantity which indicates how an extensive property of a solution or mixture varies with changes in the molar composition of the mixture at constant temperature and leslutinsduphoenix.comially it is the partial derivative of the extensive property with respect to the amount (number of moles) of the component of interest. Carbon nanotubes have long been recognized as the stiffest and strongest man-made material known to date. In addition, their high electrical conductivity has roused interest in the area of electrical appliances and communication related applications. An apparent molar property of a solution component in a mixture or solution is a quantity defined with the purpose of isolating the the relation between partial molar properties and the apparent ones can be derived from the definition of the apparent quantities and of the molality. This means that their solutions in a given amount of.

That would require more explanation and is outside the scope of this question, but feel free to message me if you would like me to explain that, too. It is intensive property[f.] application of partial molar properties: These properties are very useful since each and every reaction in chemistry occurs at a constant temperature and pressure and under these conditions we can determine these with the help of partial molar properties.

Partial molar property's wiki: A partial molar property is a thermodynamic quantity which indicates how an extensive property of a solution or mixture varies with changes in the molar composition of the mixture at constant temperature and pressure.

Essentially it is t. An apparent molar property of a solution component in a mixture or solution is a quantity defined with the purpose of isolating the the relation between partial molar properties and the apparent ones can be derived from the definition of the apparent quantities and of the molality. This means that their solutions in a given amount of. The eutectic reaction is defined as follows: → + This type of reaction is an invariant reaction, because it is in thermal equilibrium; another way to define this is the change in Gibbs free energy equals zero.

## What is the use of finding the partial molar volumes of solutes in different solutions?

Tangibly, this means the liquid and two solid solutions all coexist at the same time and are in chemical leslutinsduphoenix.com is also a thermal arrest for the duration of the change of. A partial molar property is a thermodynamic quantity which indicates how an extensive property of a solution or mixture varies with changes in the molar composition of the mixture at .

[f.] application of partial molar properties: These properties are very useful since each and every reaction in chemistry occurs at a constant temperature and pressure and under these conditions we can determine these with the help of partial molar properties.

Partial Molar Quantities - Chemistry LibreTexts