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Density of Regular Solids

Mercury has a...

Question

Mercury has a density of $13.6 g / c m^{3}$ . What volume of mercury must be taken to obtain $225 g$ of the metal?

16.54 c m^{3}

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13.86 c m^{3}

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14.54 c m^{3}

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11.86 c m^{3}

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Solution

The correct option is C $16.54 c m^{3}$
Given, density of mercury, $ρ = 13.6 g / c m^{3}$ ;
mass of mercury, $m = 225 g$ ;
volume of mercury, $V = ?$
Now, density, $ρ = \frac{M a s s}{V o l u m e} = \frac{m}{V}$
or $V = \frac{m}{ρ} = \frac{225}{13.6} = 16.54 c m^{3}$

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