Example 7.11 : A liquid at 0 °C is poured
in a glass beaker of volume 600 cm to fill it
completely. The beaker is then heated to 90 °C.
How much liquid will overflow?
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GIVEN: Volume of beaker = 600cm; Liquid temperature = 0° C; Beaker Heat = 90° C
TO FIND: How much liquid will overflow
SOLUTION:
V1=600cm3
T1=0∘C
T2=90∘C
we have γ=
we have γ =
The increase is volume =V2−V1=γV1(T2−T1)
Increase in volume of the beaker.
=γglass×V1(T2−T1)
=2.75×10−5×600×(90−0)
=2.75×10−5×600×90
=148500×10−5cm3
Increase in the volume of breaker =1.485cm3
Increase in the volume of liquid
=γliquid×V1(T2−T1)
=1.75×10−4×600×(90−0)
=1.75×10−4×600×90
=94500×10−4cm3
Increase in the volume of liquid =9.45cm3
The volume of liquid that overflows
=(9.45−1.485)cm3
=7.965cm3
7.965 cm³ liquid will overflow.
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