Answer to Question #323765 in Chemistry for melia

Question

How many moles of watr

gas?

are needed to produce 5.00 x1022 molecules of hydrogen

Answer 1

Solution:

hydrogen gas = H₂

water = H₂O

One mole of any substance contains 6.02×10²³ atoms/molecules.

Therefore,

Moles of H₂ = (5.00×10²² molecules) × (1 mol / 6.02×10²³ molecules) = 0.083 mol

Balanced chemical equation:

2H₂O(g) → 2H₂(g) + O₂(g)

According to stoichiometry:

2 mol of H₂O produces 2 mol of H₂

X mol of H₂O produces 0.083 mol of H₂

Thus:

Moles of H₂O = X = (0.083 mol H₂) × (2 mol H₂O / 2 mol H₂) = 0.083 mol H₂O

Moles of H₂O = 0.083 mol

Answer: 0.083 moles of water (H₂O) are needed