What is the Molarity of a solution formed by mixing 10.0g H2SO4 with enough water to make 100.0mL of solution?
How many moles of H2SO4 in 10g?
The molarity of the final mix is
moles H2SO4 / 0.1 L
To find the molarity (M) of a solution, we need to use the formula:
Molarity (M) = moles of solute ÷ volume of solution (in liters)
First, let's calculate the number of moles of H2SO4:
Step 1: Convert grams of H2SO4 to moles
To convert grams to moles, we divide the mass by the molar mass. The molar mass of H2SO4 is:
2(1.01 g/mol Hydrogen) + 32.07 g/mol Sulfur + 4(16.00 g/mol Oxygen) = 98.09 g/mol
moles of H2SO4 = mass of H2SO4 ÷ molar mass of H2SO4
= 10.0 g ÷ 98.09 g/mol
≈ 0.102 mol
Step 2: Convert milliliters to liters
Since the volume of the solution is given in milliliters, we need to convert it to liters by dividing by 1000:
volume of solution (in liters) = 100.0 mL ÷ 1000 mL/L
= 0.100 L
Now, we can calculate the molarity of the solution:
Molarity (M) = moles of solute ÷ volume of solution (in liters)
= 0.102 mol ÷ 0.100 L
= 1.02 M
Therefore, the molarity of the H2SO4 solution is 1.02 M.
To find the molarity of a solution, you need to know the moles of solute and the volume of the solution in liters. Let's break down the steps to find the molarity of the solution formed by mixing 10.0g of H2SO4 with enough water to make 100.0mL of solution:
Step 1: Calculate the moles of H2SO4
To find the moles of H2SO4, you first need to know its molar mass. The molar mass of H2SO4 is 2(1.01 g/mol of H) + 32.07 g/mol of S + 4(16.00 g/mol of O).
Molar mass of H2SO4 = 98.09 g/mol
Now, use the given mass of H2SO4 and the molar mass to calculate the moles:
moles of H2SO4 = mass / molar mass
moles of H2SO4 = 10.0 g / 98.09 g/mol
Step 2: Convert the volume of the solution to liters
The given volume of the solution is 100.0 mL. To convert it to liters, divide by 1000:
volume of solution (in liters) = 100.0 mL / 1000 mL/L
Step 3: Calculate the Molarity
Molarity (M) is defined as moles of solute per liter of solution. Divide the moles of H2SO4 by the volume of the solution in liters to find the molarity:
Molarity (M) = moles of H2SO4 / volume of solution (in liters)
Now, substitute the values into the equation to find the molarity:
Molarity (M) = moles of H2SO4 / volume of solution (in liters)
Molarity (M) = (10.0 g / 98.09 g/mol) / (100.0 mL / 1000 mL/L)
By simplifying the equation, you'll get the molarity of the H2SO4 solution formed by mixing 10.0g H2SO4 with enough water to make 100.0mL of solution.