Question

2 b) A copper vessel with a volume of exactly 1.80 mal a temperature 20°C is filled with glycerin. If the temperature rises to 30°C, how much glycerin will spill out?
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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, p

1

=1g/cm

3

Density of spirit, p

2

=0.8g/cm

3

Density of mercury p=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:

= phg

=hx13.6xg (i)

Difference between the pressures exerted by water and spirit:

1

h

1

g-p

2

h

2

g

= g(25×1-27.5x0.8)

= 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.

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