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A king ordered a goldsmith to prepare a ...

A king ordered a goldsmith to prepare a crown wth 1 kg pure gold. The relative density of pure gold is given as `19`. Is it possible to find the adulteration if the goldsmtih adds some impurity in making the crown. If so how? Explain.

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To determine if the goldsmith has adulterated the crown made of gold, we can follow these steps: ### Step 1: Understand the properties of pure gold The relative density (or specific gravity) of pure gold is given as 19. This means that the density of pure gold is 19 times the density of water. Since the density of water is approximately 1000 kg/m³, the density of pure gold can be calculated as: \[ \text{Density of pure gold} = 19 \times 1000 \, \text{kg/m}^3 = 19000 \, \text{kg/m}^3 \] ### Step 2: Measure the mass of the crown The goldsmith is instructed to create a crown with a mass of 1 kg. We will assume that the crown is made from this mass of gold, but we need to check if any impurities have been added. ...
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