Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A tank holds of oleum that is free sulphur trioxide by mass, with sulphuric acid. Water is added to turn all the free sulphur trioxide into sulphuric acid. Take the molar masses as SO3 , H2SO4 and H2O . Find three things. First, the mass of water that is needed. Second, the total mass of pure sulphuric acid that results. Third, the mass of acid that can be made from it by adding more water.
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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Free sulphur trioxide. is .
Step 2. Water. needs one H2O for each SO3: .
Step 3. New acid. . The total is of pure acid.
Step 4. The 98 percent acid. .
Answer: of water, of acid and of acid.
Check. Mass is kept: . The extra water in the 98 percent acid is .
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For 2SO2 + O2 in the equation of the contact process, with 2 mol of SO2 and 1 mol of O2 at the start, the equilibrium at conversion obeys . Oleum is SO3 dissolved in H2SO4, and each SO3 takes one H2O to make one H2SO4. Hot concentrated H2SO4 oxidises copper and is itself reduced to SO2: half of the acid ends up as the sulphate and half as SO2.
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