You have 10 ml of a 1:10,000 solution of hydrogen peroxide (H2O2). What is the molar concentration of the solution?
To determine the molar concentration of the solution, we need to know the molar mass of hydrogen peroxide (H2O2). The molar mass is the mass of one mole of a substance, which is calculated by adding up the atomic masses of all the atoms in the chemical formula.
The atomic masses of hydrogen (H) and oxygen (O) are approximately 1 g/mol and 16 g/mol, respectively. Since there are two hydrogen atoms and two oxygen atoms in one molecule of hydrogen peroxide, the molar mass is calculated as follows:
Molar mass of H2O2 = (2 x 1 g/mol) + (2 x 16 g/mol) = 2 g/mol + 32 g/mol = 34 g/mol
Now, let's calculate the number of moles of hydrogen peroxide in the given solution:
Number of moles = Volume (in liters) × Molarity
Since the volume is given in milliliters, we need to convert it to liters by dividing by 1000:
Volume (in liters) = 10 ml ÷ 1000 = 0.01 L
The molarity of a solution represents the number of moles of solute (in this case, hydrogen peroxide) dissolved in one liter of solution. We know that the solution is prepared in a 1:10,000 ratio, which means that it contains 1 part H2O2 in 10,000 parts total solution.
Molarity = (Number of moles) / (Volume in liters)
Since we have only 1 part H2O2 in 10,000 parts solution, the number of moles of H2O2 in 10 ml of solution is:
Number of moles = (0.01 L) × (1 mol/L)
Now, substitute the values into the equation:
Molarity = (0.01 L) × (1 mol/L) / (0.01 L) = 1 mol/L
Therefore, the molar concentration of the 1:10,000 solution of hydrogen peroxide is 1 mol/L.