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A piece of brass weighs 12.9 g in air. When completely immersed in water it weighs 11.3 g. What is mass of copper contained in the alloy?Relative density of copper and zinc are 8.9 and 7.1 respectively. |
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Answer» Mass of brass in air = 12.9 g Mass of brass in water = 11.3 g Mass of water displaced = 13.9 - 11.3 = 1.6 g relative density of copper = 8.9 Relative density of zinc = 7.1 Relative density = density of substance/ density of water Density of copper = 8.1 g/cc Which can be written as Mass/ Volume = 8.1 g/cc Similarly Density of zinc = 7.9 g/cc and volume of alloy = 1.6 cc Let x be the mass of copper is alloy Hence, alloy contains the substances Volume of alloy = Volume of copper + Volume of zinc 1.6 = x/8.9 + (12.9 - x)/7.1 1.6 = 7.1x + 8.9(12.9 - x) x = 7.614 g Mass of copper is 7.614 g. |
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