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Suppose we have an isotropic substance, for which the coefficient of linear expansion, α(alpha), is the same in all directions. Show the volume expansivity β(beta)=3α.
Hint: You may assume ΔV < (1 + ε)^p ≈ 1 + pε, provided pε << 1.
(1 + ε)^p ≈ 1 + pε, provided pε << 1.
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