What mass of sand containing 85% SiO₂ is required to obtain sodium silicate weighing 50 g?

The equation for obtaining sodium silicate:
SiO2 + 2NaOH = Na2SiO3 + H2O.
We find the number of moles of the formed sodium silicate:
n (Na2SiO3) = m (Na2SiO3): M (Na2SiO3) = 50: 122 = 0.41 mol.
Accordingly, n (Na2SiO3) = n (SiO2).
Knowing the number of moles, we calculate the mass of silicon dioxide:
m (SiO2) = n * Mr / W = 0.41 * 60: 85% = 29 g.



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