Question

density3. a piece of platinum metal weighs 100. g and has a volume of 4.665 cm³. determine its density in g/cm³. express the result with correct number of significant figures. 0.0467 g/cm³ 467 g/cm³ 21.4 g/cm³ 2.14 g/cm³

Explanation:

Step1: Recall the density formula

Density formula is \(
ho=\frac{m}{V} \), where \( m = 100. g\) (mass) and \( V=4.665cm^{3}\) (volume).

Step2: Substitute values into the formula

\(
ho=\frac{100.}{4.665}\) \(g/cm^{3}\).

Step3: Calculate the value

\(\frac{100.}{4.665}\approx21.4\) \(g/cm^{3}\) (rounded to three significant figures. The number \(100.\) has three significant figures, and \(4.665\) has four. When dividing, the result is rounded to the least number of significant figures in the values used for calculation).

Answer:

21.4 \(g/cm^{3}\) (corresponds to the third option \(21.4\ g/cm^{3}\))