Volumetric Thermal Expansion

on . Posted in Thermodynamics

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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 \(\large{in^3}\) \(\large{mm^3}\)

 

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Tags: Thermal Equations Volume Equations Expansion Equations