Question

if the density of mercury is 13.6 grams per cubic centimetre, find the weight of 5 liters of mercury in kilograms​

Answer 1

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• Weight of 5 liters mercury in kilogram is 68 Kg.

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Here

Density, $\rho = 13.6\:gm/cm^3$

Volume, $V = 5\:liters$

Unit Conversion

$\to \rho = 13.6\:gm/cm^3$

$\to \rho = 13.6\times \frac{{10}^{-3}Kg}{{10}^{-6}m^3}$

$\to \rho = 13.6\times {10}^{-3+6}Kg/m^3$

$\to \rho = 13.6\times {10}^{3}Kg/m^3$

$\to \rho = 13600\:Kg/m^3$

And

$\to V = 5\:liters$

$\to V = 5\times 1 dm^3$

$\to V = 5\times {10}^{-3} m^3$

Mass of Mercury

Density is defined as mass per unit volume,

$\to \rho = \frac{m} {V}$

$\to m = \rho V$

$\to m = 13600\:Kg/m^3\times 5\times {10}^{-3} m^3$

$\to m = 13600\times 5\times {10}^{-3}\:Kg$

$\to m = 68\:Kg$