First slide
Fluid statics
Question

A piece of brass (Cu and Zn) weighs 12.9 g in air. When completely immersed in water, it weighs 11.3g. Then relative densities of Cu and Zn are 8.9 and 7.1 respectively. The mass of copper in the alloy is

Moderate
Solution

Loss of weight (12.9 - 11.3) gf = 1.6 gf

Weight of water dispalced = 1.6 gf

If m is the mass of Cu, then

[m8.9+12.9-m7.1]g = 1.6 g

or 7.1 m + 12.9 x8.9 -8.9m = 1.6 x 8.9 x7.1 

or 1.8m = 114.8 - 101.1

or m = 7.6 gram

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