What is the mole fraction of sulfuric acid in a solution made by adding 3.4 grams of sulfuric acid to 3500 mL of water?
1.8x10-4
1 gram = 1 mL
https://chemistry.twu.edu/tutorial/MolFractSum.html
To find the mole fraction of sulfuric acid in the solution, we first need to convert the mass of sulfuric acid to moles.
Step 1: Calculate the moles of sulfuric acid:
Molar mass of sulfuric acid (H2SO4) = 2(1.01 g/mol for hydrogen) + 32.07 g/mol (for sulfur) + 4(16.00 g/mol for oxygen) = 98.09 g/mol
Moles of sulfuric acid = mass of sulfuric acid / molar mass
= 3.4 g / 98.09 g/mol
≈ 0.0347 mol
Step 2: Convert the volume of water to liters:
Volume of water = 3500 mL = 3500 mL / 1000 mL/L
= 3.5 L
Step 3: Calculate the total moles of the solution:
To find the mole fraction, we need to add the moles of sulfuric acid to the moles of water.
Total moles = moles of sulfuric acid + moles of water
= 0.0347 mol + 3.5 L (assuming water density is approximately 1 g/mL, so 1 L = 1000 g)
≈ 0.0347 mol + 3500 mol
Step 4: Calculate the mole fraction of sulfuric acid:
Mole fraction of sulfuric acid = moles of sulfuric acid / total moles
= 0.0347 mol / (0.0347 mol + 3500 mol)
= 0.0347 mol / 3500.0347 mol
≈ 9.91 x 10^(-6)
Therefore, the mole fraction of sulfuric acid in the solution is approximately 9.91 x 10^(-6).
To find the mole fraction of sulfuric acid in the solution, we need to calculate the number of moles of sulfuric acid and the total number of moles in the solution.
First, let's calculate the number of moles of sulfuric acid. We will use the molar mass of sulfuric acid (H2SO4), which is approximately 98.09 g/mol.
Number of moles of sulfuric acid = mass of sulfuric acid / molar mass of sulfuric acid
Number of moles of sulfuric acid = 3.4 g / 98.09 g/mol
Next, let's calculate the volume of the solution in liters. We have 3500 mL of water, which is equivalent to 3.5 L.
Now, we can calculate the total number of moles in the solution by considering both the moles of sulfuric acid and the moles of water.
Total number of moles = moles of sulfuric acid + moles of water
Finally, we can calculate the mole fraction of sulfuric acid using the equation:
Mole fraction of sulfuric acid = moles of sulfuric acid / total number of moles
Now, let's substitute in the values and calculate the mole fraction of sulfuric acid in the solution.