A 23.596 g sample of aqueous waste leaving a fertilizer manufacturer contains ammonia. The sample is diluted with 79.504 g of water. A 13.803 g aliquot of this solution is then titrated with 0.1098 M HCl. It required 29.02 ml of the HCl solution to reac the methyl red endpoint. Calculate the weight percent NH3 in the aqueous waste.
HCl + NH3 ---> NH4^+ +Cl^-
I have to find the moles of hcl consumed , convert them to moles of NH3 and then convert that to grams of NH3 but i really don't know how to do each one of these steps. Help?
See your other post above.
To calculate the weight percent of NH3 in the aqueous waste, we need to go through a series of steps. Let's break it down:
Step 1: Calculate the moles of HCl consumed.
Moles of HCl can be obtained using the formula:
Moles of solute = Molarity × Volume (in liters)
In this case, the concentration (Molarity) of HCl is given as 0.1098 M, and the volume of HCl solution is 29.02 ml (which is equivalent to 0.02902 L).
Therefore, the moles of HCl consumed can be calculated as:
Moles of HCl = 0.1098 M × 0.02902 L
Step 2: Convert moles of HCl to moles of NH3.
Using the balanced chemical equation provided, we can see that 1 mole of HCl reacts with 1 mole of NH3. This means that the number of moles of NH3 is the same as the number of moles of HCl.
Step 3: Calculate the moles of NH3.
The moles of NH3 can be obtained by converting the moles of HCl consumed:
Moles of NH3 = Moles of HCl
Step 4: Convert moles of NH3 to grams of NH3.
To convert moles of NH3 to grams, we need to use the molar mass of NH3, which is the sum of the atomic masses of nitrogen (N) and three hydrogens (H). The atomic mass of nitrogen is 14.01 g/mol, and the atomic mass of hydrogen is 1.01 g/mol.
Therefore, the molar mass of NH3 is:
Molar mass of NH3 = (1 × Atomic mass of N) + (3 × Atomic mass of H)
Step 5: Calculate the grams of NH3.
The grams of NH3 can be calculated using:
Grams of NH3 = Moles of NH3 × Molar mass of NH3
Step 6: Calculate the weight percent of NH3 in the aqueous waste.
Weight percent is the grams of NH3 divided by the total weight of the solution, then multiplied by 100.
Weight percent = (Grams of NH3 / Total weight of the solution) × 100
Finally, plug in the values you obtained in each step to get your final answer.