Volumetric Thermal Expansion

Volumetric thermal expansion, abbreviated as \(\Delta V\), also called volume thermal expansion or linear volume thermal expansion, takes place in gasses and liquids when a change in temperature, volume or type of substance occures.

 

Volumetric thermal expansion Formula
\(\large{ \Delta V  =  V_f - V_i  }\)
Symbol	English	Metric
\(\large{ \Delta V }\) = volumetric thermal expansion	\(\large{ \frac{in^3}{in^3\;F} }\)	\(\large{ \frac{mm^3}{mm^3\;C} }\)
\(\large{ V_f }\) = final volume	\(\large{in^3}\)	\(\large{mm^3}\)
\(\large{ V_i }\) = initial volume	\(\large{in^3}\)	\(\large{mm^3}\)

 

Volumetric thermal expansion Formula
\(\large{ \Delta V  =  3 \; \overrightarrow{\alpha_l} \; V_i  \; \Delta T  }\)
Symbol	English	Metric
\(\large{ \Delta V }\) = volumetric thermal expansion	\(\large{ \frac{in^3}{in^3\;F} }\)	\(\large{ \frac{mm^3}{mm^3\;C} }\)
\(\large{ \overrightarrow{\alpha_l} }\)   (Greek symbol alpha) = linear thermal expansion coefficient	\(\large{ \frac{in}{in\;F} }\)	\(\large{ \frac{mm}{mm\;C} }\)
\(\large{ \Delta T }\) = temperature change	\(\large{F}\)	\(\large{C}\)
\(\large{ V_i }\) = initial volume	\(\large{in^3}\)	\(\large{mm^3}\)

 

Volumetric thermal expansion Formula
\(\large{ V_f  = V_i  \;  \left( 1 +  3 \; \overrightarrow{\alpha_l} \; \Delta T \right) }\)
Symbol	English	Metric
\(\large{ V_f }\) = final volume	\(\large{in^3}\)	\(\large{mm^3}\)
\(\large{ \overrightarrow{\alpha_l} }\)   (Greek symbol alpha) = linear thermal expansion coefficient	\(\large{ \frac{in}{in\;F} }\)	\(\large{ \frac{mm}{mm\;C} }\)
\(\large{ \Delta T }\) = temperature change	\(\large{F}\)	\(\large{C}\)
\(\large{ V_i }\) = initial volume	\(\large{in^3}\)	\(\large{mm^3}\)