A solution contains 314 mg/L of Ca2 . What is the solution in nmol/m3?

To convert from milligrams per liter (mg/L) to nanomoles per cubic meter (nmol/m^3), you need to follow these steps:

Step 1: Convert milligrams (mg) to moles (mol).

To do this, you need to know the molar mass of calcium (Ca). The atomic mass of Ca is approximately 40.08 g/mol.

Convert 314 mg of Ca to grams (g) by dividing by 1000:
314 mg = 314/1000 = 0.314 g

Now convert grams (g) of Ca to moles (mol) using the molar mass:
0.314 g / 40.08 g/mol = 0.00783 mol

Step 2: Convert moles (mol) to nanomoles (nmol).

To convert from moles to nanomoles, multiply by 1,000,000,000 (10^9):
0.00783 mol * 10^9 nmol/mol = 7,830,000 nmol

Step 3: Convert liters (L) to cubic meters (m^3).

To do this, you need to know the conversion factor that relates liters to cubic meters. 1 L is equal to 0.001 cubic meters (m^3).

Multiply the concentration (314 mg/L) by the conversion factor:
314 mg/L * 0.001 m^3/1 L = 0.314 mg/m^3

Step 4: Convert from milligrams per cubic meter (mg/m^3) to nanomoles per cubic meter (nmol/m^3).

To do this, you need to know the molar mass of calcium (Ca) in nanograms (ng) per mole (mol). The atomic mass of Ca is approximately 40.08 g/mol, which is equal to 40,080,000 ng/mol.

Convert the concentration (0.314 mg/m^3) to nanograms (ng/m^3) by multiplying by 1,000,000 (10^6):
0.314 mg/m^3 * 10^6 ng/mg = 314,000 ng/m^3

Now convert from nanograms (ng/m^3) to nanomoles (nmol/m^3) using the molar mass:
314,000 ng/m^3 / 40,080,000 ng/mol = 0.00783 nmol/m^3

Therefore, the concentration of the solution is 0.00783 nmol/m^3 of Ca2.