200 grams of a liquid completely fill a 500 mL bottle. What is the density of the liquid?
To find the density of a substance, you need to know the mass and volume of that substance. In this case, you have the mass of the liquid (200 grams) and the volume of the bottle (500 mL).
Density is defined as mass divided by volume. Therefore, to find the density of the liquid, divide the mass by the volume:
Density = Mass / Volume
Density = 200 grams / 500 mL
However, it's important to note that the units of mass and volume need to be consistent. In the SI system, the standard unit of mass is the kilogram (kg), and the standard unit of volume is the cubic meter (m^3). However, in this case, the mass is given in grams (g) and the volume in milliliters (mL).
To ensure consistency, we need to convert grams to kilograms and milliliters to liters:
1 gram (g) = 0.001 kilogram (kg)
1 milliliter (mL) = 0.001 liter (L)
Converting the mass and volume:
Mass = 200 grams = 200 * 0.001 kg = 0.2 kg
Volume = 500 mL = 500 * 0.001 L = 0.5 L
Now we can calculate the density using the converted values:
Density = Mass / Volume
Density = 0.2 kg / 0.5 L
Density = 0.4 kg/L
Therefore, the density of the liquid is 0.4 kg/L