Equation for Manipulating Density

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The equation for manipulating density is one that you will use all throughout your educational career. Get tips on the equation for manipulating density with help from an experienced educator in this free video clip.

Part of the Video Series: Chemistry & Physics
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Hello, my name is Walter Unglaub, and this is equation for manipulating density. So, in order to manipulate an expression for density we need to write down a mathematical equation that relates density, typically denoted by the Greek letter rho when we're considering three dimensions, and the mass of our substance, capital M, and the volume that that mass occupies, denoted by capital V. So, if we wanted to manipulate this expression, we could rewrite this expression in two other ways. We could rewrite this expression in order to calculate the mass by multiplying both sides of the equations by the volume V and on the right-hand side the Vs cancel out, so I'm left with capital M is equal to rho times V. I could do the same for the volume in terms of the density and the mass by again, considering the original expression and definition of density in terms of mass and volume by multiplying both sides in this case by volume over the density. And I notice on the right-hand side the volume terms cancel out, and on the left-hand side the density terms cancel out, so I'm left with the volume is equal to the mass divided the density. So as an example, let's say we had a mass M equal to 10 kilograms, and a volume of 5 meters cubed. The density then would be equal to 10 kilograms divided 5 meters cubed, which is simply 2 kilograms per meters cubed. My name is Walter Unglaub, and this is equation for manipulating density.

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