Chemistry Problem: Calculating Volume of NH3 Solution

How to calculate the volume of a 133 ppm NH3 solution needed to provide a specific amount of NH3?

Given data: 133 ppm NH3 solution, density 0.998 g/mL, 0.0175 grams of NH3

Answer:

To calculate the volume of a 133 ppm NH3 solution required to provide 0.0175 grams of NH3, we need to follow these steps:

First, convert the concentration of the solution from parts per million (ppm) to grams per liter (g/L) using the formula:

Concentration (g/L) = (ppm) x (density in g/mL) x (molecular weight in g/mol) / (10^6)

For a 133 ppm NH3 solution at 0.998 g/mL density:

Concentration = (133 ppm) x (0.998 g/mL) x (17.03 g/mol) / (10^6) = 0.2309 g/L

Next, use the mass of NH3 (0.0175 g) and the concentration of the solution (0.2309 g/L) to find the volume of the solution required:

Volume = (mass of NH3 in grams) / (concentration of solution in g/L)

Volume = (0.0175 g) / (0.2309 g/L) = 0.0758 L

Therefore, 0.0758 liters of the 133 ppm NH3 solution with a density of 0.998 g/mL is required to provide 0.0175 grams of NH3.