Question

density5. at room temperature, mercury has a density of 13.6 g/ml. what is the volume of 225 g of mercury? express the answer with correct number of significant figures.
16.5 ml
3.06×10³ ml
0.0604 ml
30.6 ml

Explanation:

Step1: Recall the density formula

Density formula is \(
ho=\frac{m}{V}\), where \(
ho\) is density, \(m\) is mass and \(V\) is volume. We need to solve for \(V\), so \(V = \frac{m}{
ho}\).

Step2: Substitute the given values

Given \(m = 225\space g\) and \(
ho=13.6\space g/mL\). Then \(V=\frac{225\space g}{13.6\space g/mL}\).

Step3: Calculate the value

\(V=\frac{225}{13.6}\space mL\approx16.5441\space mL\).

Step4: Determine significant figures

The mass \(225\) has three significant figures and the density \(13.6\) has three significant figures. So the result should have three significant figures. Rounding \(16.5441\) to three significant figures gives \(16.5\space mL\).

Answer:

16.5 mL