# Volume

Written by Jerry Ratzlaff on . Posted in Geometry

## volume

Volume ( $$V$$ ) is the space occupied by a mass.  Volume is a extensive variable whose values depend on the quantity of substance under study.  It is expressed in terms of length cubed, a quantity of three dimensional space occupied by gas, liquid, or solid.  Volume is a scalar quantity having direction, some of these include area, density, energy, entropy, length, mass, power, pressure, speed, temperature, and work.

### volume formula

$$V = l w h$$          $$volume \;=\; length \;\;x \;\; width \;\;x \;\; height$$

$$V = \frac { m } { \rho }$$          $$volume \;=\; \frac { mass } { density }$$

Where:

$$h$$ = height

$$l$$ = length

$$m$$ = mass

$$\rho$$ (Greek symbol rho) = density

$$V$$ = volume

$$w$$ = width

## Volume Differential

Volume differential ( $$\Delta V$$ ) is the difference between an expanded or reduced volume of a liquid.

### Volume Differential Formula

$$\Delta V = V_f \;- \; V_i$$          $$volume \; differential \;=\;\; final \; volume \;- \; initial \; volume$$

Where:

$$\Delta V$$ = volume differential

$$V_i$$ = initial volume

$$V_f$$ = final volume

## Reduced Specific Volume

Reduced specific volume ( $$\upsilon_r$$ ) (pseudo-reduced specific volume) of a fluid is ratio of the specific volume of a substance's critical pressure and temperature.

### Reduced Specific Volume formula

$$\upsilon_r = \frac {\upsilon p_c}{R^*T_c}$$          $$reduced \; specific \; volume \;=\; \frac { specific \; volume \;\;x\;\; critical \; pressure } { universal \; gas \; constant \;\;x\;\; critical \; temperature }$$

Where:

$$\upsilon_r$$ (Greek symbol upsilon) = reduced specific volume

$$p_c$$ = critical pressure

$$R^*$$ = universal gas constant

$$T_c$$ = critical temperature

$$\upsilon$$ (Greek symbol upsilon) = specific volume

## Specific Volume

Specific volume ( $$\upsilon$$ ) is the volume in a unit of mass.  Specific volume is a intensive variable whose physical quantity value does not depend on the amount of the substance for which it is measured.  Specific volume is the reciprocal of density, a substance with a higher density will have a lower specific volume.

### Specific Volume formula

$$\upsilon = \frac{V}{m}$$          $$specific \; volume \;=\; \frac{ volume } { mass }$$

$$\upsilon = \frac{1}{\rho}$$          $$specific \; volume \;=\; \frac{1} { density }$$

Where:

$$\upsilon$$ (Greek symbol upsilon) = specific volume

$$m$$ = mass

$$\rho$$ (Greek symbol rho) = density

$$V$$ = volume

Solve for:

$$\rho = \frac{1}{\upsilon}\;$$

Tags: Equations for Volume