Givien a 2.0kg solution of phosphoric acid and water 53% phosphoric acid by mass calculate the number of moles of phosphoric acid
To calculate the number of moles of phosphoric acid in the solution, we need to do the following steps:
Step 1: Determine the mass of the phosphoric acid in the solution.
Given that the solution is 53% phosphoric acid by mass and has a total mass of 2.0 kg, we can calculate the mass of the phosphoric acid as follows:
Mass of phosphoric acid = 53% of 2.0 kg = (53/100) * 2.0 kg = 1.06 kg
Step 2: Convert the mass of phosphoric acid to moles.
The molar mass of phosphoric acid (H3PO4) is:
1(P) + 4(O) + 12(H) = 98 g/mol
To convert the mass of phosphoric acid from kilograms to grams, we multiply by 1000:
1.06 kg * 1000 g/kg = 1060 grams
Now, we can calculate the number of moles of phosphoric acid:
Number of moles = Mass / Molar mass = 1060 g / 98 g/mol ≈ 10.82 moles
Therefore, there are approximately 10.82 moles of phosphoric acid in the 2.0 kg solution.