19.2 mL H2SO4 solution (d = 1.727 g/mL, 80.0 percent H2SO4 by mass)
____ mol
19.2 mL x 1.727 g/mL 0.80 = # grams.
moles = g/molar mass.
To find the number of moles of H2SO4 in the solution, we need to calculate the mass of H2SO4 present in the solution first.
Given:
Volume of H2SO4 solution = 19.2 mL
Density of H2SO4 solution = 1.727 g/mL
Percentage of H2SO4 by mass = 80.0%
Step 1: Calculate the mass of the solution.
Mass of the solution = Volume of the solution x Density of the solution
Mass of the solution = 19.2 mL x 1.727 g/mL
Step 2: Calculate the mass of H2SO4 in the solution.
Mass of H2SO4 = Mass of the solution x Percentage of H2SO4 by mass / 100
Mass of H2SO4 = (19.2 mL x 1.727 g/mL) x (80.0 / 100)
Step 3: Calculate the molar mass of H2SO4.
Molar mass of H2SO4 = 1(2.0159 g/mol) + 32.06 g/mol + 4(16.00 g/mol)
Molar mass of H2SO4 = 98.09 g/mol
Step 4: Calculate the number of moles of H2SO4.
Number of moles of H2SO4 = Mass of H2SO4 / Molar mass of H2SO4
Number of moles of H2SO4 = (Mass of H2SO4) / 98.09 g/mol
Plug in the values and calculate to find the number of moles of H2SO4.
To determine the number of moles in a solution, we need to use the formula:
moles = mass / molar mass
In this case, we have a 19.2 mL solution of H2SO4.
First, let's calculate the mass of H2SO4 in the solution:
mass = volume x density
mass = 19.2 mL x 1.727 g/mL
mass = 33.1776 g
Next, we need to find the molar mass of H2SO4:
H = 1.0079 g/mol (hydrogen)
S = 32.065 g/mol (sulfur)
O = 16.00 g/mol (oxygen)
molar mass = (2 x H) + S + (4 x O)
molar mass = (2 x 1.0079) + 32.065 + (4 x 16.00)
molar mass = 98.09 g/mol
Now we can find the number of moles using the formula:
moles = mass / molar mass
moles = 33.1776 g / 98.09 g/mol
moles ≈ 0.3382 mol
Therefore, the number of moles in 19.2 mL of 80.0 percent H2SO4 solution is approximately 0.3382 mol.