The chemical reaction between sodium bicarbonate (NaHCO3) and vinegar (CH3COOH) is given as:
`NaHCO_3 + CH_3COOH -> CH_3COONa + H_2CO_3`
Thus, 1 mole of sodium bicarbonate reacts with 1 mole of vinegar.
The molar mass of sodium bicarbonate = 23 + 1 + 12 + 3 x 16 = 84 g/mol
The molar mass of vinegar = 2 x 12 + 4 x 1 + 2 x 16 = 60 g/mol
The density of vinegar is 1.05 g/cm^3 or 1.05 g/ml.
Here, we have 25 ml of vinegar or 25 x 1.05 g = 26.25 g of vinegar.
This is also equal to 26.25 g x (1 mol /60 g) = 0.4375 mol
From the balanced chemical equation, 1 mole of vinegar will react will 1 mole of sodium bicarbonate.
Or, 0.4375 mol vinegar will react with 0.4375 mol sodium bicarbonate.
This is equivalent to 0.4375 mol x (84 g/mol) = 36.75 g.
Thus, 36.75 g of sodium bicarbonate is needed to react with 25 ml of vinegar.
Hope this helps.
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