A glass flask of volume `200 cm^(3)` is completely filled with mercury at `20^(@)C` . The amount of mercury that split over when the flask is heated to `80^(@)C` is ( coefficient of volume expension for glass `27 xx 10^(-8//@)C `)

Options

A. Zero
B. `0.3 cm^(3)`
C. `1.84 cm^(3)`
D. `2.40 cm^(3)`

Answer

A

Explanation

Coefficient of volume expansion , `' gamma, = (V_(2) - V_(1))/(v_(1)(t_(2) -t_(1))`
`Delta V = V_(1) gamma Delta t`
For glass ,`delta V _(g) = 200 xx 27 xx 10^(-8) xx (80 - 20)`
`Delta V_(g) = 0.0032 m^(3) = 3.24 xx10^(-3) cm ^(3) `
For murcury , `Delta V _(m) = 200 xx 0.81 xx 10^(-8) xx 60`
` Delta V_(m) = 2160 xx 10^(-8) = 2.16 xx 10^(-5) cm^(3)`