Answer to Question #121922 in Inorganic Chemistry for Anna

Question

Calculate mass balance of 2000 kg sulfuric acid production from gaseous sulfur dioxide in the air conditions. 84% of water is used for production

Answer 1

Reactions of industrial production of sulfuric acid:

S+O₂=SO₂

2SO₂+O₂=2SO₃

SO₃+H₂O=H₂SO₄

It follows that 1mol of SO₂ accounts for 0.5mol of O₂, 1mol of H₂O and 1mol of H₂SO₄.

n_H2SO4=m_H2SO4/M_H2SO4=2000*10³g/98g*mol^-1=20408mol

n_H2SO4=n_H2O=n_SO2=20408mol

n_O2=0.5*n_H2SO4=10204mol

m_H2O=20408mol*18g*mol^-1=367344g=367.344kg

m_SO2=20408mol*64g*mol^-1=1306112g=1306.112kg

m_O2=10204mol*32g*mol^-1=326528g=326.528kg

Since only 84% of water and therefore only 84% of oxigen and sulfur dioxide are used in the production of acid, we will get the material balance of production of 2000kg of sulfuric acid:

For 2000kg of H₂SO₄ we need 367.344kg/0.84=437.314kg≈437kg of H₂O

1306.112kg/0.84=1554.895kg≈1555kg of SO₂

326.528kg/0.84=388.724kg≈389kg of O₂

Answer:

For 2000kg of H₂SO₄ we need 437kg of H₂O

1555kg of SO₂

389kg of O₂