A jeweller claims that he sells ornaments made of pure gold that has the relative densityof 19.3. he cells an ornament weighing 20.250 gf to a person. The clever person weighs the ornament immersing it in pure water and find it weights 19.075 gf. Is teh ornaments made of pure gold? what is the percentage of impurty in the ornament if any?

A jeweller claims that he sells ornaments made of pure gold that has t

1.	A jeweller claims that he sells ornaments made of pure gold that has the relative densityof 19.3. he cells an ornament weighing 20.250 gf to a person. The clever person weighs the ornament immersing it in pure water and find it weights 19.075 gf. Is teh ornaments made of pure gold? what is the percentage of impurty in the ornament if any?
Answer» Solution :Weight of ORNAMENT in air `=20.250 gf` weight of ornamet in water = `19.075 gf` Loss of weight in water =` 20.259 - 19.075` `=1.175 gf` RELATIVE density of ornament is `rho_(0)^(') = ("weight in air")/("loss of weight in water")` `=(20.250)/(1.175) = 17.234` As the measured relative density `rho_(0)^(') (=17.234)`is LESS than the true relative density `rho_(0)=(19.3)`, so ITHE ornament is not made of pure gold. `%` impurity in ornament = `(rho_(0)-rho_(0)^('))/(rho_(0)) xx 100` `=(19.3 - 17.234)/(19.3) xx 100 = 10.7%`