The partial specific volume express the variation of the extensive volume of a mixture in respect to composition of the masses. It is the partial derivative of volume with respect to the mass of the component of interest. where is the partial specific volume of a component defined as: The PSV is usually measured in milliLiters (mL) per gram (g), proteins > 30 kDa can be assumed to have a partial specific volume of 0.708 mL/g. Experimental determination is possible by measuring the natural frequency of a U-shaped tube filled successively with air, buffer and protein solution. (Wikipedia).
This video provides a basic introduction to volume.
From playlist Volume and Surface Area (Geometry)
Volume between 3+y-x^2 and unit disk
From playlist Double integrals
Volume and Capacity (Converting between units of volume)
More resources available at www.misterwootube.com
From playlist Applications of Measurement
14_9 The Volume between Two Functions
Calculating the volume of a shape using the double integral. In this example problem a part of the volume is below the XY plane.
From playlist Advanced Calculus / Multivariable Calculus
From playlist Double integrals
Volume under z = x + sin(y) + 1
From playlist Double integrals
Derivation of the Heat Equation
In this video, we derive the heat equation. This partial differential equation (PDE) applies to scenarios such as the transfer of heat in a uniform, homogeneous body. This video focuses on the derivation of the governing PDE only, other videos in this series discuss how to solve this PDE
From playlist Partial Differential Equations
Physics - Thermodynamics 2: Ch 32.2 PVT Partial Derivatives (2 of 23) Keeping Pressure Constant
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what the partial derivative looks like when there is a change of states (from 1 to 2). Next video in this series can be seen at: https://youtu.be/T9MzvxqxZdk
From playlist PHYSICS 32.2 THERMODYNAMICS PVT
Gauss's Divergence theorem is one of the most powerful tools in all of mathematical physics. It is the primary building block of how we derive conservation laws from physics and translate them into partial differential equations. @eigensteve on Twitter eigensteve.com databookuw.com %%
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
A few concepts in thermodynamics
Lectures for Transport Phenomena course at Olin College. This lecture reviews a few concepts from thermodynamics in preparation for a formal derivation of the conservation of energy equation for fluid flows.
From playlist Lectures for Transport Phenomena course
ME565 Lecture 9: Heat Equation in 2D and 3D. 2D Laplace Equation (on rectangle)
ME565 Lecture 9 Engineering Mathematics at the University of Washington Heat Equation in 2D and 3D. 2D Laplace Equation (on rectangle) Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L09.pdf Course Website: http://faculty.washington.edu/sbrunton/me565/ http://faculty.washingt
From playlist Engineering Mathematics (UW ME564 and ME565)
Multivariable Calculus | Definition of partial derivatives.
We give the definition of the partial derivative of a function of more than one variable. In addition, we present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Statistical Mechanics Lecture 5
(April 29, 2013) Leonard Susskind presents the mathematical definition of pressure using the Helmholtz free energy, and then derives the famous equation of state for an ideal gas: pV = NkT. Originally presented in the Stanford Continuing Studies Program. Stanford University: http://www.s
From playlist Course | Statistical Mechanics
Derivation of the energy equation
Video lectures for Transport Phenomena course at Olin College. This video derives the conservation of energy equation for an incompressible, Newtonian flow.
From playlist Lectures for Transport Phenomena course
Advanced Partial Derivatives — Topic 70 of Machine Learning Foundations
#MLFoundations #Calculus #MachineLearning Using paper and pencil as well as hands-on Python code to work through geometric examples, this video builds on the preceding ones in this series to deepen and advance our understanding of partial derivatives. There are eight subjects covered com
From playlist Calculus for Machine Learning
The Continuity Equation: A PDE for Mass Conservation, from Gauss's Divergence Theorem
This video dives into Gauss's Divergence theorem to derive the partial differential equation (PDE) for mass conservation, known as the continuity equation. This is one of the most fundamental equations in fluid mechanics. Specifically, for incompressible flows, the mass continuity equati
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
Finding the Percent Yield at Equilibrium, Using an Ice Table and Kp - TUTOR HOTLINE
This video answers the following question: "Ammonia can be synthesized according to the reaction: N2(g)+ 3 H2 (g) = 2 NH3 (g) Kp= 5.3 x 10^-5 at 725 K. A 200.0 L reaction container initially contains 1.27 kg of N2 and 0.310 kg of H2 at 725 K. Assuming ideal gas behavior, calculate the mass
From playlist General Chemistry 2: What You Need to Know
Double Integrals and Volume over a General Region - Part 2
This video shows how to used double integrals to determine volume under a surface over a region that is NOT rectangular. http://mathispower4u.wordpress.com/
From playlist Double Integrals