calculate the number of molecule h2s04 present in 250ml of 98% by mass of sulphuric solution. Density of solution is 1.84g/ml
Answer 4.6N How do calculation step by step
To calculate the number of molecules of H2SO4 present in the given solution, follow these steps:
Step 1: Calculate the mass of the solution.
Given that the volume of the solution is 250 ml and the density of the solution is 1.84 g/ml, we can find the mass using the formula: Mass = Volume x Density.
Mass = 250 ml x 1.84 g/ml = 460 g.
Step 2: Calculate the mass of H2SO4 in the solution.
Since the solution is 98% by mass of sulfuric acid (H2SO4), we can calculate the mass of H2SO4 as a percentage of the total mass of the solution.
Mass of H2SO4 = 98% of 460 g = 0.98 x 460 g = 450.8 g.
Step 3: Calculate the molar mass of H2SO4.
The molar mass of H2SO4 can be calculated by summing the atomic masses of its constituents.
H = 1 g/mol
S = 32 g/mol
O = 16 g/mol
Molar mass of H2SO4 = (2 x 1) + 32 + (4 x 16) = 98 g/mol.
Step 4: Calculate the number of moles of H2SO4.
Using the formula: Moles = Mass / Molar Mass, we can calculate the number of moles of H2SO4 in the solution.
Moles of H2SO4 = 450.8 g / 98 g/mol = 4.60 moles.
Step 5: Calculate Avogadro's number.
Avogadro's number, denoted as NA, is 6.022 x 10^23 molecules/mol.
Step 6: Calculate the number of molecules of H2SO4.
To calculate the number of molecules, use the formula: Number of Molecules = Moles x NA.
Number of Molecules = 4.60 mol x (6.022 x 10^23 molecules/mol) = 2.77 x 10^24 molecules.
Therefore, the number of molecules of H2SO4 present in 250 ml of the 98% sulfuric acid solution is approximately 2.77 x 10^24 molecules.