Question

A glassbulb of volume 250cc isfilled with
mercury at 20°C and the temperature is
raised to 100°C .If the coefficient of linear
expansion of glass is 9x10C
Coefficient of absolute expansion of mercury
is 18x104 PC. The volume of mercury
over flows​

Answer 1

Expansion of mercury = Vm×γm×ΔT = 250×1.8×10-4×80 ....................(1)

where Vm, γm and ΔT are original volume of mercury, coefficient of absolute expansion of mercury and rise in temperature.

 

Expansion of glass container = Vg×γg×ΔT = 250×3×9×10-6×80 ...................(2)

where Vg, γg and ΔT are original volume of container, coefficient of volume expansion of glass and rise in temperature.

 

Spill over volume ΔV of mercury will be obtained by subtracting (2) from (1)

 

ΔV = 250×80×{ 1.8 - 0.27 } ×10-4 = 3.06 cc