Sodium metal is immersed into graduated cylinder that holds exactly 32.5 ml. The sodium metal used to fill the cylinder weighs 405.5 grams. Calculate the density of sodium based on the given data.
when you say it was immersed, that implies there was some other liquid in the cylinder.
If all you mean is that the sodium exactly filled the cylinder, then the density is obviously
405.5g/32.5ml = 405.5/32.5 g/ml
Solution
To calculate the density of sodium, we need to use the formula: Density = Mass / Volume.
In this case:
- Mass of sodium = 405.5 grams
- Volume of sodium = 32.5 ml
However, we need to convert the volume unit from milliliters (ml) to grams (g) because density is usually expressed in grams per cubic centimeter (g/cm³) or grams per milliliter (g/mL).
Since the conversion from milliliters to grams depends on the substance's density, we'll first need to find the density of sodium using the given data.
Density = Mass / Volume
Density = 405.5 grams / 32.5 ml
Density = 12.4769231 g/ml
Therefore, the density of sodium based on the given data is approximately 12.48 g/ml.