Answer: To solve this problem, we can use the fact that density is defined as the mass per unit volume of a substance. This relationship can be expressed as:
density = mass / volume
We can use this equation to find the volume of sodium that has the same mass as 22.0 cm³ of silicon by rearranging the equation to solve for volume:
volume = mass / density
We are given the densities of both sodium and silicon, so we can use these values to calculate the mass of 22.0 cm³ of silicon:
mass = density * volume
= 2.33 g/cm³ * 22.0 cm³
= 51.46 g
We want to find the volume of sodium that has the same mass as this amount of silicon, so we can plug the known mass and density of sodium into the equation above to solve for volume:
volume = mass / density
= 51.46 g / 0.97 g/cm³
= 53.16 cm³
Therefore, the volume of sodium that has the same mass as 22.0 cm³ of silicon is 53.16 cm³.