Question

A copper vessel with volume 1.8 cm is filled with mercury at 20 c . How much mercury overflows when the temperature increases to 40°C? alpha of copper = 0.000016 Y of glycerin = 0.000530​

Answer 1

Answer:

Height of the water column, h

1

=10+15=25cm

Height of the spirit column, h

2

=12.5+15=27.5cm

Density of water, ρ

1

=1g/cm

3

Density of spirit, ρ

2

=0.8g/cm

3

Density of mercury ρ=13.6g/cm

3

Let h be the difference between the levels of mercury in the two arms.

Pressure exerted by height h, of the mercury column:

= ρhg

= h×13.6×g (i)

Difference between the pressures exerted by water and spirit:

= ρ

1

h

1

g−ρ

2

h

2

g

= g(25×1−27.5×0.8)

= 3g (ii)

Equating equations (i) and (ii), we get:

13.6 hg = 3g

h=0.221cm

Hence, the difference between the levels of mercury in the two arms is 0.221 cm.

solution