how many molecule of sulphur acid is needed to neuralise 5ml of sodium carbonate and 5vl of tetraoxosulphate v acid when calcium is heated at a tempeture of 20 degree centigrade using nickel as catalyst
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To find the number of molecules of sulfuric acid needed to neutralize 5 mL of sodium carbonate and 5 mL of tetraoxosulfate (VI) acid, we need to follow a few steps:
Step 1: Find the moles of sodium carbonate (Na2CO3):
To do this, we need to know the molar mass of sodium carbonate, which is 105.99 g/mol.
First, convert the given volume of 5 mL to its mass using the density of sodium carbonate (which is approximately 2.54 g/mL):
5 mL * 2.54 g/mL = 12.7 g
Next, divide the mass by the molar mass to find the moles:
12.7 g / 105.99 g/mol = 0.1199 mol
Step 2: Find the moles of tetraoxosulfate (VI) acid (H2SO4):
To do this, we need to know the molar mass of tetraoxosulfate (VI) acid, which is 98.09 g/mol.
Using a similar process as in Step 1, convert the given volume of 5 mL to its mass:
5 mL * 2.54 g/mL = 12.7 g
Divide the mass by the molar mass to find the moles:
12.7 g / 98.09 g/mol = 0.1297 mol
Step 3: Determine the stoichiometry of the neutralization reaction:
From the equation for the reaction of sulfuric acid with sodium carbonate:
H2SO4 + Na2CO3 -> Na2SO4 + H2O + CO2
We can see that the stoichiometric ratio between sulfuric acid (H2SO4) and sodium carbonate (Na2CO3) is 1:1.
Step 4: Find the number of moles of sulfuric acid needed:
Since the stoichiometric ratio is 1:1, the number of moles of sulfuric acid needed is equal to the moles of sodium carbonate and tetraoxosulfate (VI) acid calculated in Steps 1 and 2 respectively:
Number of moles of sulfuric acid = 0.1199 mol + 0.1297 mol = 0.2496 mol
Step 5: Convert moles to molecules:
To find the number of molecules, we need to multiply the number of moles by Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol. Therefore:
Number of molecules = 0.2496 mol * (6.022 x 10^23 molecules/mol) ≈ 1.502 x 10^23 molecules
So, approximately 1.502 x 10^23 molecules of sulfuric acid are needed to neutralize 5 mL of sodium carbonate and 5 mL of tetraoxosulfate (VI) acid.