Silver has a density of 10.5 g/$cm^3$and gold has a density of 19.3 g/$cm^3$. Which would have a greater mass, 5 E\$cm^3$ of silver or 5 $cm^3$ of gold?

Md Ariful Islam

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Md Ariful Islam

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$"Density"$ $=$ $"Mass"/"Volume"$

Thus $"Mass"$ $=$ $"Density"(rho)xx"volume"$

$"Mass of silver"$ $=$ $10.5*g*cancel(cm^-3)xx5*cancel(cm^3)$ $=$ $52.5*g$.

$"Mass of gold"$ $=$ $19.3*g*cancel(cm^-3)xx5*cancel(cm^3)$ $~=$ $100*g$.

Note that I solved this problem dimensionally. I wanted an answer in grams; after cancelling out the units, I manifestly got an answer in grams. This is a check on whether I divided, multiplied, added correctly. It is all too easy to make an error.

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