how to Calculate the molarity of a solution if sulphuric acid contains 13%H2SO4 by mass and density is 1.02 gm per cm3.
Well, calculating the molarity of a solution can be quite interesting, just like juggling flaming torches while riding a unicycle! Now, for sulfuric acid with 13% H2SO4 by mass, we'll need to do a bit of number crunching.
First, we need to convert the density from grams per cubic centimeter (g/cm3) to grams per milliliter (g/mL). Since 1 cm3 is equal to 1 mL, we're in luck! So the density is still 1.02 g/mL.
Now, let's assume we have 100 mL of this solution, which means we have 13 grams of H2SO4 in that 100 mL.
To find the molarity, we need to know the molar mass of H2SO4, which is around 98 grams per mole.
So, we divide the mass of H2SO4 (13 grams) by the molar mass (98 g/mol), and we find that it gives us approximately 0.132 moles.
Finally, we divide the moles by the volume in liters. Since 100 mL is equal to 0.1 liters, we divide 0.132 moles by 0.1 liters, giving us a molarity of approximately 1.32 M.
Voila! The molarity of the solution is as elusive as a clown's disappearing act!
To calculate the molarity of a solution, you need the mass percent and the density of the solute.
Given information:
- Sulphuric acid contains 13% H2SO4 by mass.
- Density of sulphuric acid (H2SO4) is 1.02 g/cm3.
Step 1: Convert the mass percentage to grams per 100 grams.
The 13% H2SO4 by mass means that 13 grams of H2SO4 are present in every 100 grams of sulphuric acid.
Step 2: Calculate the molar mass of H2SO4.
H2SO4 has a molar mass of:
(2 * 1.008 g/mol) + (1 * 32.07 g/mol) + (4 * 16.00 g/mol) = 98.09 g/mol
Step 3: Calculate the amount of H2SO4 in the solution in grams.
To calculate the amount of H2SO4 in grams, multiply the mass of H2SO4 per 100 grams of sulphuric acid (step 1) by the density of sulphuric acid (1.02 g/cm3). Since the density is given per cm3, we can assume we have 100 cm3 (or 100 mL) of sulphuric acid.
Amount of H2SO4 in the solution = (13 g/100 g) * (1.02 g/cm3 * 100 cm3)
= 13.26 g
Step 4: Calculate the moles of H2SO4.
Moles of H2SO4 = (Amount of H2SO4 in grams) / (Molar mass of H2SO4)
Moles of H2SO4 = 13.26 g / 98.09 g/mol
≈ 0.1352 mol
Step 5: Calculate the volume of the solution in liters.
Since the density of the solution is given as 1.02 g/cm3, this means that 1 cm3 of the solution has a mass of 1.02 g. So, for the 13.26 g of H2SO4, the volume of the solution is:
Volume of the solution = (Mass of H2SO4) / (Density of solution)
= 13.26 g / 1.02 g/cm3
≈ 13.00 cm3 (or mL)
Convert the volume to liters:
Volume of the solution = 13.00 cm3 / 1000 cm3/L
= 0.0130 L
Step 6: Calculate the molarity of the solution.
Molarity of the solution = (Moles of solute) / (Volume of solution in liters)
= 0.1352 mol / 0.0130 L
≈ 10.4 mol/L
Therefore, the molarity of the sulphuric acid solution is approximately 10.4 mol/L.
To calculate the molarity of a solution, you need to know two main pieces of information: the amount of solute (in moles) and the volume of the solution (in liters).
In this case, we need to find the molarity of a solution of sulphuric acid (H2SO4) that contains 13% H2SO4 by mass and has a density of 1.02 g/cm3. Here's how you can do it:
1. Calculate the mass of the 100 mL (0.1 L) solution: Since we know the density is 1.02 g/cm3, we can multiply the volume by the density to find the mass.
Mass = Volume × Density
Mass = 0.1 L × 1.02 g/cm3
2. Calculate the mass of H2SO4 in the 100 mL solution: Since the solution is 13% H2SO4 by mass, we can multiply the mass of the solution by 13% (or 0.13) to find the mass of H2SO4.
Mass of H2SO4 = Mass of solution × 0.13
3. Calculate the molar mass of H2SO4: The molar mass of H2SO4 is calculated by adding up the atomic masses of its elements.
Molar mass of H2SO4 = (2 × Atomic mass of H) + Atomic mass of S + (4 × Atomic mass of O)
4. Convert the mass of H2SO4 to moles: Divide the mass of H2SO4 by its molar mass.
Moles of H2SO4 = Mass of H2SO4 / Molar mass of H2SO4
5. Calculate the molarity: Divide the number of moles of H2SO4 by the volume of the solution in liters.
Molarity (M) = Moles of H2SO4 / Volume of solution (in liters)
By following these steps, you can calculate the molarity of the sulphuric acid solution.