The density of a substance at 0 ℃ is 10 g / cc and at 100 ℃ , its density is 9 . 7 g / cc . The coefficient of linear expansion of the substance is

Step-by-step solution

As ρ = ρ 0 ( 1 - γ ∆ T ) ∴ 9.7 = 10 ( 1 - γ × 100 ) 9.7 10 = 1 - γ × 100 γ × 100 = 1 - 9.7 10 = 0.3 10 = 3 × 10 - 2 γ = 3 × 10 - 4 ∴ α = 1 3 γ = 10 - 4 ℃ - 1