The molarity of amonia in aqueous solution is 11.8 mole/dmc calculate the amount of fraction of amonia in solution density of solution is 0.916 g/cc
To calculate the amount of fraction of ammonia in a solution, you will need to convert the density of the solution to mass and then use the molarity to determine the moles of ammonia present.
Here's how you can do it step-by-step:
Step 1: Convert the density of the solution to mass.
Density is defined as mass per unit volume. In this case, the density is given as 0.916 g/cc. This means that for every 1 cc of the solution, the mass is 0.916 g.
Step 2: Determine the volume of the solution.
To find the volume of the solution, you need to know the mass of the solution or have its density, which we already have. Let's assume that you have a total of 100 cc of the solution.
Step 3: Calculate the mass of the solution.
Multiply the volume of the solution by its density to find the mass.
Mass of the solution = volume × density = 100 cc × 0.916 g/cc = 91.6 g
Step 4: Convert the mass of the solution to moles of ammonia.
To do this, you need to use the molarity of ammonia. The molarity tells you the number of moles of solute (ammonia) present in 1 liter of solution.
Moles of ammonia = molarity × volume of solution (in liters)
Since the molarity is given as 11.8 mole/dm³ (dm³ is equal to liters), and the volume of the solution is 100 cc, we need to convert the volume to liters by dividing by 1000.
Moles of ammonia = 11.8 mole/dm³ × (100 cc ÷ 1000 cc/L) = 1.18 moles
Step 5: Calculate the amount of fraction of ammonia in the solution.
To find the fraction of ammonia in solution, divide the moles of ammonia by the total moles present in the solution.
Amount fraction of ammonia = Moles of ammonia / Moles of total solution
Total moles of solution can be calculated by dividing the mass of the solution by the molar mass of ammonia (17.031 g/mol).
Moles of solution = Mass of solution / Molar mass of ammonia
Moles of solution = 91.6 g / 17.031 g/mol = 5.38 moles
Amount fraction of ammonia = 1.18 moles / 5.38 moles ≈ 0.22
Therefore, the amount fraction of ammonia in the solution is approximately 0.22.