You will find your answer in a paper and experiment done at the University of Applied Sciences Jena in Germany. They (M. Schimmelpfening, K. Weber, F Kalb & K.-H. Feller) determined the expansion coefficients of 9 samples of parafin wax with regards to Congealing Point, Needle Penetration and if a crystal transformation had occurred. They included a fully refined macrocrystalline, an intermediate and a plastic microcrystalline. The coefficients range from the micro wax with the higher CP and Pen at .73 X10 (-3) to the 2 phase waxes at .89 x 10(-3) and intermediate at .75. Check out their paper on how they determined these, it's good. Google "Volume expansion of parafins from dip tube measurements"
Formula for the volume Expansion for a solid is αV=1VdVdT and Isotropic materials is αV=3αL.
Since most metals are isotropic, the cubical coefficient of expansion is three times the linear coefficient of expansion. The linear coefficient of expansion is obtained from measurement and tables for the specific material which are readily available.
dL/dT = αL*L, where L is the length of the steel, T is temperature, and αL is the linear thermal expansion coefficient which for steel is about 11.0 to 13.0. That is possibly the easiest differential equation in history: (1/L)dL = (αL)dT ln(L) = αLT L = eαLT
0.0000055
nickel
The coefficient of volume expansion is the triple of the linear expansion coefficient. So with a volume expansion coefficient of 60×10^-6/°C, the linear expansion coefficient would be 20×10^-6/°C.
Liquids have two coefficients of expansion because they can expand in both volume (volume coefficient of expansion) and in area (area coefficient of expansion) when heated. The volume coefficient of expansion relates to changes in the volume of the liquid, while the area coefficient of expansion relates to changes in the surface area.
The coefficient of linear expansion (α) is one-third of the coefficient of superficial expansion (β), and the coefficient of superficial expansion is one-third of the coefficient of volume expansion (γ). This relationship follows from the dimensional analysis of the expansion coefficients in the respective directions.
The coefficient of volume expansion of turpentine is typically around 9 x 10^-4 per degree Celsius. This coefficient indicates how much the volume of turpentine will increase for a one-degree Celsius increase in temperature.
Yes, mercury has one of the highest coefficients of volume expansion known among common substances. Its coefficient of volume expansion is approximately 181 x 10^-6 per degree Celsius.
Formula for the volume Expansion for a solid is αV=1VdVdT and Isotropic materials is αV=3αL.
Cubical expansion refers to the increase in volume of a substance as it is heated. This expansion can be calculated using the coefficient of cubical expansion, which quantifies how the volume of a material changes with temperature.
The volume coefficient of expansion for ice is approximately 0.090 × 10^-3 per degree Celsius. This means that for every degree Celsius increase in temperature, ice expands by about 0.090 × 10^-3 of its original volume.
The coefficient of volume expansion for a substance is determined by its molecular structure and interactions between its molecules. Water and ethanol have different molecular structures and intermolecular forces, which result in different coefficients of volume expansion. Water has a higher coefficient of volume expansion than ethanol because of its hydrogen bonding and unique properties.
Cubical expansion refers to the increase in volume of a substance when its temperature increases. It is governed by the coefficient of cubic expansion, which quantifies how much the volume of a substance changes with temperature.
That depends on the exact details. For a gas, the ideal gas law is usually a good approximation: other things being equal, the volume is directly proportional to the absolute temperature (that is, the temperature expressed in kelvin). For a liquid or gas, the expansion is much less than in a gas. You can look up the coefficient of expansion for a specific substance, and then use the definition of the coefficient; that is, the volume change is equal to (volume) times (temperature difference) x (coefficient of volume expansion).
The thermal expansion coefficient of ammonia is approximately 0.0045 K^-1 at 20 degrees Celsius. This coefficient represents how much the volume of ammonia will expand per degree of temperature increase.