Question

Calculate the increase in volume of 5 mm3 of mercury at a temperature of 20 °C when it is heated to 50 °C. The coefficient of linear expansion of mercury is 70 x 10-6 /K.

Answer 1

Original volume of the mercury,V = 5 mm³

Initial temperature,T₁ =20°C =293 K

Final temperature,T₂ =50°C =323 K

Linear expansion of mercury,α =  70 x 10^-6 /K

Calculate the  increase in volume.

ΔV = αV (T₂ - T₁)

     =(70 x 10^-6)(5)(323-293)

    = 0.015 mm³

Therfore , the increase in volume is 0.015 mm³