## Question

When equal volumes of two metals are mixed together, the specific gravity of alloy is 4. When equal masses of the same two metals are mixed together, the specific gravity of the alloy is 3. Calculate the specific gravity of each metal.

### Solution

2 and 6

In case of two metals

So, when equal volumes are mixed, *V*_{1} = *V*_{2} = *V* and and

and when equal masses are mixed, *m*_{1} = *m*_{2} = *m* and *V*_{1} = (*m*/ρ_{1}) and *V*_{2} = (*m*/ρ_{2})

Solving eq. (i) and (ii) for we find that specific gravity of metals are 2 and 6.

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