Question #35155

Use the 5-step method and be sure to include units where appropriate. Round your answers to the correct number of significant digits.
Adjust the density formula and solve the problems below:

What is the mass of a 1350 cm3 sample of pure silicon with a density of 21.336 g/cm3?

Expert's answer

Question

Use the 5-step method and be sure to include units where appropriate. Round your answers to the correct number of significant digits.

Adjust the density formula and solve the problems below:

What is the mass of a 1350 cm31350~\mathrm{cm}^3 sample of pure silicon with a density of 21.336 g/cm321.336~\mathrm{g/cm^3}?

Solution

The equation for density is


ρ=mV,\rho = m V,


where ρ\rho – density, mm – mass and VV – volume. So


m=ρVm = \rho \cdot V


We know that V=1350 cm3V = 1350~\mathrm{cm}^3 and ρ=21.336 g/cm3\rho = 21.336~\mathrm{g/cm^3}.

Substituting the given values into the equation we can obtain the mass:


m=21.336 g/cm31350 cm3=28800 gm = 21.336~\mathrm{g/cm^3 \cdot 1350~cm^3 = 28800~g}

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