derive the equation between three coefficients of thermal expansion.
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Relationship to Linear Thermal Expansion Coefficient
The original volume will be V = L3,and the new volume, after a temperature increase, will be: V+ΔV=(L+ΔL)3=L3+3L2ΔL+3L(ΔL)2+(ΔL)3≈L3+3L2ΔL=V+3VΔLL V + Δ V = ( L + Δ L ) 3 = L 3 + 3 L 2 Δ L + 3 L ( Δ L ) 2 + ( Δ L ) 3 ≈ L 3 + 3 L 2 Δ L = V + 3 V Δ L L .
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