How to Solve for Volume

••• Sasaton Krungsee/iStock/GettyImages

In fields such as chemistry and aerodynamics, the relationship between pressure, temperature and volume is defined by the equation of state for an ideal gas. The equation states that the pressure in the gas is equal to the density times the temperature times the gas constant (p = rRT). In many cases, it is easier to measure pressure and temperature than volume or density. Therefore, solving this equation for volume is a common task for students of science and engineering.

    Write the equation of state and break density down to its components of mass and volume. Density is defined as mass divided by volume. p = (m/V)RT

    Multiply both sides of the equation by V. pV = mRT

    Divide both side of the equation by p. V = (mRT)/p

    Substitute the correct value for the gas constant based on the units you are using. Since density is being used in this equation, the specific gas constant is needed rather than the universal gas constant. The specific gas constant is different for each gas. For air, the value is 287 Joules per kilogram degree Kelvin--J / (kg*K)--or 1716 foot pounds per slug degree Rankine (ft * lb)/(slug * deg R). V = 287(mT/P)

    Measure mass, temperature and pressure. These can be measured using a variety of different methods depending on the conditions and the gas being measured. Enter those values into the equation to calculate a value for volume.


    • p = pressure r = density R = specific gas constant T = temperature m = mass V = volume

Related Articles

How to Calculate Volume at STP
How to Convert Vapor Pressure to Concentration
How to Calculate Polytropic Efficiency
How to Convert ATM Pressure to Celsius
How to Calculate Volume of a Rectangular Prism
Volume Vs. Mass Density
How to Calculate Average Volume
How to Calculate the Temperature Drop Due to a Pressure...
How to Calculate Density From Viscosity
How to Convert ML to MG
How to Calculate SCFM
What Is the Density of CO2?
How to Find Partial Pressures
What Happens When the Pressure and Temperature of a...
How to Calculate the Density of a Solution
How to Convert Specific Gravity to Pounds Per Gallon
Density of Carbonated Water
How to Calculate the Mass of a Solid
How to Calculate Concentration From Density

Dont Go!

We Have More Great Sciencing Articles!