Properties Of Solids And Liquids Question 98
Question: A glass flask of volume one litre at 0°C is filled, level full of mercury at this temperature. The flask and mercury are now heated to 100°C. How much mercury will spill out, if coefficient of volume expansion of mercury is $ 1.82\times {{10}^{-4}}/{}^\circ C $ and linear expansion of glass is$ 0.1\times {{10}^{-4}}/{}^\circ C $ respectively [MNR 1994]
Options:
A) 21.2 cc
B) 15.2 cc
C) 1.52 cc
D) 2.12 cc
Show Answer
Answer:
Correct Answer: B
Solution:
Due to volume expansion of both liquid and vessel, the change in volume of liquid relative to container is given by DV = $ V _{0}[{\gamma _{L}}-{\gamma _{g}}]\Delta \theta $
Given V0 = 1000 cc, ag = 0.1×10-4/°C
$ {\gamma _{g}}=3{\alpha _{g}}=3\times 0.1\times {{10}^{-4}}/{}^\circ C=0.3\times {{10}^{-4}}/{}^\circ C
$ DV = 1000 [ 1.82 × 10-4 - 0.3 × 10-4] × 100 = 15.2 cc $
