Final answer:
To calculate the molarity of hydrogen peroxide in a 29% by mass solution, we first find the mass of H2O2 in 1 liter of the solution using its density, then convert the mass to moles and divide it by the volume of the solution in liters.
Step-by-step explanation:
The question requires us to calculate the molarity of 29% by mass aqueous solution of hydrogen peroxide (H2O2) with a density of 1.39 g/mL.
Molarity is the number of moles of solute per liter of solution. First, we need to determine the mass of H2O2 in 1 liter of solution.
To do this, we use the density of the solution to find that 1 liter (1000 mL) has a mass of 1390 grams. Next, we take 29% of this mass to find the mass of H2O2 which is 403.1 grams.
Now, we convert this mass to moles by dividing it by the molar mass of H2O2 (34.015 g/mol). The result is approximately 11.85 moles.
The molarity, therefore, is 11.85 M (to 1 decimal place).