If 100 grams of a liquid completely fill a 200 mL bottle, what is the density of the liquid?
mass = volume x density
mass is 100 g. volume is 200 mL. Substitute and solve for density. The answer will be in units of g/mL
Post your work if you get stuck.
To find the density of the liquid, we need to use the formula:
Density = Mass / Volume
In this case, the mass of the liquid is given as 100 grams, and the volume is given as 200 mL. However, for the formula to work properly, we need to make sure that the mass and the volume are in appropriate units.
Since the mass is given in grams, which is the standard SI unit for mass, we don't need to convert it. However, the volume is given in milliliters (mL), so we need to convert it to liters (L) because the SI unit for volume is cubic meters (m^3) or liters (L).
To convert milliliters to liters, we divide by 1000 since there are 1000 milliliters in 1 liter:
Volume (in liters) = 200 mL / 1000 = 0.2 L
Now, we can substitute the mass and volume values into the formula:
Density = 100 g / 0.2 L
Performing the division:
Density = 500 g/L
So, the density of the liquid is 500 grams per liter (g/L).