If the volume of a block of metal changes by 0 . 12 % when heated through 20 ° C , then find its coefficient of linear expansion.

Step-by-step solution

If the volume of the block is V = 100   then change in volume ∆ V = 0 . 12 ,   therefore, ∆ V V = 0 . 12 100 Also, for volumetric expansion of the block, ∆ V V = γ ∆ T   where γ   is the coefficient of volumetric expansion. ⇒ 0 . 12 100 = γ 20 ⇒ γ = 0 . 06 × 10 - 3   ° C - 1 The relation between coefficient of volumetric expansion and coefficient of linear expansion is, γ = 3 α ⇒ α = γ 3 = 0 . 06 &#2