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L^3=gammaShow the dervationIn thermal physis And relations between them
This is regarding linear , areal, volume expansion of substances.ΔL = α L ΔTArea of a square sheet of dimensions L * L: = A+ΔA = (L+ α L ΔT)² = L² + 2 α L² ΔT ignoring α² terms (too small).ΔA = 2 α A ΔTβ = ΔA/A = 2 αVolume = V = L³Changed volume = V+ ΔV = (L + α L ΔT)³ = L³ + 3 α L³ ΔT + terms with α² or α³ ignored (too small)ΔV = 3 α V ΔT=> gamma = ΔV/V = 3 α
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