In how many moles of water is the number of oxygen atoms equal to the number of oxygen atoms in 1 mole of sulfuric acid?

Given:
N (O in H2O) = N (O in H2SO4)
n (H2SO4) = 1 mol

To find:
n (H2O) -?

Decision:
1) Find the amount of substance O in H2SO4 (by definition):
n (O) = n (H2SO4) * 4 = 1 * 4 = 4 mol;

2) Find the number of O atoms in H2SO4:
N (O in H2SO4) = n (O in H2SO4) * NA = 4 * 6.02 * 10 ^ 23 = 24.08 * 10 ^ 23;

3) Find the number of O atoms in H2O:
By condition
N (O in H2O) = N (O in H2SO4) = 24.08 * 10 ^ 23;

4) Find the amount of substance O in H2O:
n (O in H2O) = N (O in H2O) / NA = 24.08 * 10 ^ 23 / 6.02 * 10 ^ 23 = 4 mol;

5) Find the amount of substance H2O (by definition):
n (H2O) = n (O in H2O) = 4 mol.

Answer: The amount of substance H2O is 4 mol.



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