Final answer:
The density of the liquid is calculated by converting the given mass and volume into SI units, which gives a density of 1600 kg/m³ after rounding to two significant figures.
Step-by-step explanation:
To find the density of the liquid, we use the formula density (ρ) = mass (m) / volume (V). Given the liquid has a mass (m) of 2,132g and a volume (V) of 1.3 litres, we first need to convert these values into consistent SI units. Mass should be in kilograms and volume in cubic meters.
The mass in kilograms is 2,132g × (1kg/1000g) = 2.132 kg. To convert the volume from litres to cubic meters, we use the conversion 1 litre = 0.001 m³, so the volume is 1.3 × 0.001 m³ = 0.0013 m³.
Now, substituting these values into the density formula, we get ρ = 2.132 kg / 0.0013 m³ = 1638.46 kg/m³. However, since the provided density has only 2 significant figures (1.3 g/L), we should also round off our final answer to 2 significant figures, giving us a density of 1600 kg/m³.