Question

If about 47,000 metric tons of sulfuric acid are industrially produced every year in a u.s. state, how many moles are produced?

Answer 1

Answer:

4.79*10⁸ moles

Explanation:

47,000 tons are produced annually.

1 ton = 1000kg

47,000 tonnes = x kg

X = (47000 * 1000) / 1 = 4.7*10⁷kg

But,

1kg = 1000g

4.7*10⁷kg = y g

y = (4.7*10⁷ * 1000) / 1

y = 4.7*10¹⁰ g

Every year, 4.7*10¹⁰g of sulphuric acid is produced.

Sulphuric acid = H₂SO₄

molar mass of H₂SO₄ = ?

Molar mass of H = 1.0g/mol

Molar mass of S = 32g/mol

Molar mass of O = 16g/mol

Molar mass of H₂SO₄ = [(1*2) + 32 + (16*4)]

Molar mass of H₂SO₄ = (2 + 32 + 64) = 98g/mol.

Number of moles = mass / molar mass

Mass of sulphuric acid produced = 4.7*10¹⁰g

Molar mass of sulphuric acid = 98g/mol

No. Of moles = 4.7*10¹⁰ / 98

Number of moles = 4.79*10⁸ moles

4.79*10⁸ moles of sulphuric acid (H₂SO₄) is produced yearly

Answer 2

Numbers of moles = weight (g) / molecular weight (g/mole)
47000 metric tons = 47000000000 g
∵ molecular weight of sulfuric acid = 98 g/mole
∴ No. of moles of sulfuric acid = 47000000000/98 = 479591836.73 moles