A large salt crystal having a volume of 56 cm3 and a density of 2.17 g/cm3 was dissolved in to sufficient water to make 375 mL of solution. What is the salt concentration in the solution as g/L?
mass=density*volume, solve for mass.
then,
concentration=mass/.375
To find the salt concentration in the solution, we first need to calculate the mass of the salt dissolved in the water.
Given:
Volume of the salt crystal (V) = 56 cm^3
Density of the salt (ρ) = 2.17 g/cm^3
Volume of the solution (V_solution) = 375 mL
Step 1: Calculate the mass of the salt crystal.
The volume of the salt crystal is given as 56 cm^3, and the density is 2.17 g/cm^3. We can use the formula:
Mass (m) = Volume (V) * Density (ρ)
m = 56 cm^3 * 2.17 g/cm^3
m ≈ 121.52 g
So, the mass of the salt crystal is approximately 121.52 g.
Step 2: Calculate the salt concentration in the solution.
The volume of the solution is given as 375 mL. To convert this to liters, we divide by 1000 (since 1 L = 1000 mL).
Volume of solution in liters = 375 mL / 1000
Volume of solution in liters = 0.375 L
The concentration of the solution can be calculated using the formula:
Concentration (C) = Mass of solute (m) / Volume of solution (V_solution)
C = 121.52 g / 0.375 L
C ≈ 324.05 g/L
Therefore, the salt concentration in the solution is approximately 324.05 g/L.