The density of a substance at 0^ C is 10 ~g / cc and at 100^ C , its density is 9.7 ~g / cc . The coefficient of linear expansion of the substance is

Step-by-step solution

Initial temperature (T₁ )=0^ C Initial density ( ₁ )=10 ~g / cc Final temperature (T₂ )=100^ C and Final density ( ₂ )=9.7 ~g / cc . Coefficient of volumetric expansion ( _v )= ₁ T = ₁- ₂ ₁ (T₂-T₁ ) = 10-9.7 10(100-0) = 0.3 1000 =3 10⁻⁴ . Therefore coefficient of linear expansion, ₁= 3 = 3 10⁻⁴ 3 =10⁻⁴