The coefficient of areal expansion of a material is 1.6 x 10-5 K- 1. which one of the following gives the value of coefficient of volume expansion of this material?

Thermal expansion in isotropic materials follows a specific ratio between linear, areal, and volumetric coefficients. The coefficient of linear expansion (α) is related to the coefficient of areal expansion (β) by the formula β = 2α. Given the coefficient of areal expansion is 1.6 x 10⁻⁵ K⁻¹, the linear expansion coefficient (α) is calculated as 0.8 x 10⁻⁵ K⁻¹. Furthermore, the coefficient of volume expansion (γ) is related to the linear coefficient by the formula γ = 3α. By substituting the value of α, we get γ = 3 × (0.8 x 10⁻⁵ K⁻¹), which equals 2.4 x 10⁻⁵ K⁻¹. This relationship (α:β:γ = 1:2:3) is a fundamental property of isotropic solids where expansion occurs uniformly in all three dimensions.