Question

a certain liquid has a density of 0.732 g/ml. how many liters would weigh 1.00 kg?

Explanation:

Step1: Convert mass to grams

We know that \(1\space kg = 1000\space g\), so \(1.00\space kg = 1.00\times1000 = 1000\space g\).

Step2: Use density formula to find volume in mL

Density formula is \(
ho=\frac{m}{V}\), where \(
ho\) is density, \(m\) is mass, and \(V\) is volume. Rearranging for volume, we get \(V = \frac{m}{
ho}\). Substituting \(m = 1000\space g\) and \(
ho = 0.732\space g/mL\), we have \(V=\frac{1000\space g}{0.732\space g/mL}\approx1366.12\space mL\).

Step3: Convert volume to liters

Since \(1\space L = 1000\space mL\), we divide the volume in mL by 1000. So \(V=\frac{1366.12\space mL}{1000\space mL/L}\approx1.37\space L\) (rounded to three significant figures).

Answer:

\(1.37\space L\)