Question

A glass flask of volume 400cm is just filled with mercury at 0 degree ​

Answer 1

A glass flask of volume 400 cm³ is just filled with mercury at 0°C. How much mercury will  overflow when the temperature of the system rises to 80°C.​

The volume of mercury that overflow is 5.376 cm³

Further explanation

Given

volume of glass = 400 cm³

Δt=80 °C - 0 °C = 80

Required

overflow volume

Solution

With an increase in the temperature of the substance, objects can expand. This expansion includes volume expansion.

Can be formulated

$\tt V_t=V_o(1+\gamma.\Delta t)\\\\\Delta V=V_o.\gamma.\Delta t$

Find volume expansion of glass and mercury

• Glass(γ = 1.2.10⁻⁵ C⁻¹)

$\tt \Delta V=400\times 1.2.10^{-5}.80=0.384~cm^3$

• Mercury(γ=1.8.10⁻⁴ C⁻¹)

$\tt \Delta V=400\times 1.8.10^{-4}\times 80=5.76~cm^3$

Overflow :

ΔV mercury - ΔV glass : 5.76-0.384 = 5.376 cm³