Calculate the mass of the formed salt obtained by the interaction of 245 g of a 20% sulfuric acid solution

Calculate the mass of the formed salt obtained by the interaction of 245 g of a 20% sulfuric acid solution with a sodium hydroxide solution.

Given:
m (H2SO4) = 245 g
w% (H2SO4) = 20%
To find:
m (salt) -?
Decision:
H2SO4 + 2NaOH = Na2SO4 + 2H2O, – we solve the problem, relying on the composed reaction equation:
1) Find the mass of acid in the reacted solution:
m (H2SO4) = 245 g * 0.2 = 49 g
2) Find the amount of acid:
n (H2SO4) = m: M = 49 g: 98 g / mol = 0.5 mol
3) We compose a logical expression:
If 1 mole of H2SO4 gives 1 mole of Na2SO4,
then 0.5 mol H2SO4 will give x mol H2SO4,
then x = 0.5 mol.
4) Find the mass of sodium sulfate formed during the reaction:
m (Na2SO4) = n * M = 0.5 mol * 142 g / mol = 71 g.
Answer: m (Na2SO4) = 71 g.