The balanced reaction equation of cloth bleach using Na2S2O3 and chlorine is:
Na2S2O3(aq) + 4Cl2(g) + 5H2O(aq) "\\rightarrow" 2NaHSO4(aq) + 8HCl(aq)
The number of the moles of Na2S2O3 is its mass (1.5 g) divided by its molar mass:
158.11 g/mol:
"n = \\frac{m}{M} = \\frac{1.5}{158.11} = 0.0095" mol.
According to the reaction equation, one molecule of Na2S2O3 reacts with five molecules of H2O:
"n(Na_2S_2O_3) = \\frac{n(H_2O)}{5}"
"n(H_2O) = 5\u00b7n(Na_2S_2O_3) = 5\u00b70.0095 = 0.047" mol.
Therefore, the mass of water needed is:
"m(H_2O)= nM = 0.047\u00b718.02 = 0.855" g.
Answer: 0.855 g of H2O is required to react with 1.5 g of Na2S2O3.
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