Question

If the price of one tonne (1000 kg) of sulfur, S, is £160, what is the cost (to the nearest pound) of the sulfur needed to make one tonne of sulfuric acid, H₂SO4? A £52 B £98 C£160 D £490

Answer 1

The cost of the sulfur needed to make one tonne of sulfuric acid is £98.

The cost of the sulfur needed to make one tonne of sulfuric acid can be calculated by determining the amount of sulfur required to make one tonne (1000 kg) of sulfuric acid. Sulfuric acid has the molecular formula H₂SO₄, which means it contains 2 hydrogen atoms, 1 sulfur atom, and 4 oxygen atoms. The molar mass of sulfuric acid is 98.12 g/mol. Since there is 1 mol of sulfur in 1 mol of sulfuric acid, the cost of the sulfur needed to make one tonne of sulfuric acid can be calculated as follows:

Calculate the number of moles of sulfuric acid in one tonne by dividing the mass of one tonne (1000 kg) by the molar mass of sulfuric acid.

Multiply the number of moles of sulfuric acid by the molar mass of sulfur to determine the mass of sulfur needed.

Multiply the mass of sulfur needed by the price per kilogram of sulfur to determine the cost of the sulfur needed to make one tonne of sulfuric acid.

Using the given price of £160 for one tonne of sulfur, the cost of the sulfur needed to make one tonne of sulfuric acid is approximately £98 (to the nearest pound). Therefore, the correct answer is B £98.

Answer 2

The cost of sulfur needed to make one tonne of sulfuric acid is £52 (to the nearest pound).

Step-by-step explanation:

To find the cost of sulfur needed to make one tonne of sulfuric acid, we need to calculate the amount of sulfur required. Sulfuric acid has the molecular formula H₂SO₄, which means it contains 2 hydrogen atoms, 1 sulfur atom, and 4 oxygen atoms. Since the molar mass of sulfur (S) is 32.07 g/mol, to produce 1 tonne (1000 kg) of sulfuric acid, we need:

Mass of sulfur = (1 tonne) * (1000 kg/tonne) * (1 mol H₂SO₄/98.09 g) * (32.07 g S/1 mol H₂SO₄)

Mass of sulfur = 327.86 kg approximately

To calculate the cost, we can use the price given for one tonne of sulfur. The cost of sulfur needed is:

Cost of sulfur = (price of sulfur/tonne) * (mass of sulfur/tonne)

Cost of sulfur = (£160/tonne) * (327.86 kg/1000 kg of sulfur)

Cost of sulfur = £52 (to the nearest pound)