Suppose we have an isotropic substance for which the


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.

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Physics: Suppose we have an isotropic substance for which the
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