Would a substance with a density of 7.89 kg/dm^3 float on a substance that has a density of 14.2 g/ml?
get to g/cm^3 cm^3=ml
7.89 kg/dm^3 = 7890g/dm^3 = 7.89g/cm^3 = 7.89g/ml
so yes the substance will float because its less dense
I agree with Sarah. And note that a kg/dm^3 is a kg/L = g/mL
To determine whether a substance will float or sink, you need to compare its density with the density of the substance it will be placed in.
Density is defined as mass divided by volume. The units for density differ between the two substances you mentioned. In order to compare them, we need to convert them to the same units.
The density of the first substance is given as 7.89 kg/dm³. This means that within a volume of 1 cubic decimeter (dm³), there is a mass of 7.89 kilograms.
The density of the second substance is given as 14.2 g/ml. This indicates that within a volume of 1 milliliter (ml), there is a mass of 14.2 grams.
To compare the two substances, we need to convert either one of the densities to the same unit as the other. In this case, it would be more convenient to convert the density of the first substance to grams per milliliter (g/ml) to match the unit of the second substance.
1 kilogram is equal to 1000 grams, and 1 cubic decimeter is equal to 1000 milliliters. Therefore, to convert 7.89 kg/dm³ to g/ml, we can multiply it by 1000 (to convert kg to g) and divide it by 1000 (to convert dm³ to ml).
7.89 kg/dm³ = (7.89 * 1000 g) / 1000 ml
Simplifying the equation gives:
7.89 g/ml
Now that we have both densities in grams per milliliter (g/ml), we can compare them. The density of the first substance is 7.89 g/ml, while the density of the second substance is 14.2 g/ml.
Since the density of the first substance is lower than the density of the second substance, the first substance would float on the second substance.