Question

Calculate the mass of a sample of gold that

Answer 1

Answer:

$\boxed {\boxed {\sf 4.67 \ g }}$

Explanation:

We are asked to calculate the mass of a sample of gold. We are given the density and volume.

Density is a substance's mass per unit volume. Therefore, the formula for calculating density is:

$\rho= \frac{m}{v}$

The density is 19.3 grams per cubic centimeter and the volume is 0.242 cubic centimeters. Substitute the values into the formula.

• ρ=19.3 g/cm³
• v= 0.242 cm³

$19.3 \ g/cm^3 = \frac{m}{0.242 \ cm^3}$

We are solving for the mass of the gold sample, so the variable m must be isolated. It is being divided by 0.242 cubic centimeters. The inverse operation of division is multiplication. Multiply both sides of the equation by 0.242 cm³.

$0.242 \ cm^3 * 19.3 \ g/cm^3 = \frac{m}{0.242 \ cm^3} * 0.242 \ cm^3$

$0.242 \ cm^3 * 19.3 \ g/cm^3 = m$

The units of cubic centimeters cancel.

$0.242 * 19.3 \ g = m$

$4.6706 \ g = m$

The original measurements of mass and density both have 3 significant figures, so our answer must have the same. For this number, 3 sig fig is the hundredth place. The 0 in the thousandth place tells us to leave the 7.

$4.67 \ g \approx m$

The mass of the gold sample is approximately 4.67 grams.

Answer 2

Answer:

4.6706g

Explanation: