derive the formula of volume thermal expansion
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Linear thermal expansion is ΔL = αLΔT, where ΔL is the change in length L, ΔT is the change in temperature, and α is the coefficient of linear expansion, which varies slightly with temperature. ... The change in volume due to thermal expansion is ΔV = βVΔT, where β is the coefficient of volume expansion and β ≈ 3α.
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