## Critical Behaviour of a pure substance

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Single phase region PVT equation of state...

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Velocity at an instant...

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Calculus without limits...

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Transpose of matrix...

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Triangular factors of matrices...

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we can reduce matrix by recording elimination steps into matrix form...

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there are 3 ways of matrix multiplication 1) rows x column 2) matrix x column 3)rows x matrix...

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BREAKDOWN of GAUSS ELIMINATION...

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Gaussian Elimination...

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Singular Matrix...

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Linear equations divided into 2 categories based on how many solutions they have. Nonsingular case a ) Only one solution Singular cases a) No solution b) Infinite solutions...

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Goal of linear algebra is to solves the equations, but for that elimination steps are very important. To solve large no of equations, we have to represent equations into matrix form....

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Linear algebra gives algorithm to solve large No. of equations Few basic terms for this subject are- column space ,row space, rank of matrix and elimination methods...

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I want to prepare V volume of a solution having x% by weight of a solute. Then what is the volume of a solute required to make this solution? Note: this is a liquid liquid solution...

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I want to change the normality of a solution from 𝑁_1 to N by adding another solution having normality 𝑁_2....

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ChangingNormality...

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Important Assumption: Volume of a liquid will not change after dissolution of solid solute. Relation between density and normality of a solid liquid solution Assumption: Solid is completely soluble in liquid solvent 𝛒=〖𝐍×𝑴_𝒘〗∕𝒗^∗ ...

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In extraction process we gate two layers of liquid and the separation can be easily done if density of those two layers are different. But sometime there density comes nearly same and it becomes difficult to get the separation. We can solve this problem b...

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