A piece of stone of mass 15.1 g is first immersed in a
liquid and it weighs 10.9 gf. Then on immersing the
piece of stone in water, it weighs 9.7 gf. Calculate :
(a) the weight of the piece of stone in air,
(b) the volume of the piece of stone,
(c) the relative density of stone,
(d) the relative density of the liquid.
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Answer:
Weight in air = 15.1 gf
loss of weight of stone in water = 15.1-9.7 = 5.4gf
hence displaced volume of water = volume of stone = 5.4 cc
relative density of stone = mass/volume = 15.1/5.4 ≈ 2.8
loss of weight of stone in liquid = 15.1 - 10.9 = 4.2 gf
volume of displaced liquid = volume of displaced water = 5.4 c.c
weight of displaced liquid = loss of weight of stone in liquid = 4.2gf
relative density of liquid = mass/volume = 4.2/5.4 = 0.78
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