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:

How many cm3 would a 515.932 g sample of copper occupy if it has a density of 18.92 g/cm3?

Answer 1

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:

How many cm³ would a 515.932 g sample of copper occupy if it has a density of 18.92 g/cm³?

Solution:

The density formula is

$$\rho \left(\frac {g}{c m ^ {3}}\right) = \frac {m (g)}{V (c m ^ {3})}$$

According to this formula the volume of the metal is

$$V (c m ^ {3}) = \frac {m (g)}{\rho (g / c m ^ {3})}$$ $$V \left(\mathrm {c m} ^ {3}\right) = 5 1 5. 9 3 2 / 1 8. 9 2 = 2 7. 2 7 \mathrm {c m} ^ {3}$$

Answer: $V = 27.27 \, \text{cm}^3$