The balanced chemical reaction for this problem is:
`C_6 H_8 O_7 + 3 NaHCO_3 -> 3 CO_2 + 3 H_2O + Na_3C_6H_5O_7 `
First, we need to get how many moles of sodium bicarbonate to be neutralized.
Moles of NaHCO3 =
`30 mL * ((1L)/(1000 mL)) * ((0.5 mol es NaHCO_3)/L) = 0.015 mol es NaHCO_3 `
To get the moles of citric acid (C6H8O7) that will react with 0.15 moles of NaHCO3 =
`0.015 mol es NaHCO_3 * ((1mol e C_6H_8O_7)/(3 mol es NaHCO_3)) = 0.0050 mol es C_6H_8O_7`
Now we can solve for the amount of citric acid needed to completely react with sodium bicarbonate.
(1) In terms of mass:
`0.005 mol es C_6H_8O_7 * ((192.12 grams)/ (1 mol e C_6H_8O_7)) = 0.96 grams of C_6H_8O_7`
(2) In terms of the citric acid solution:
Molarity = moles/volume of solution
Volume of solution = moles citric acid/molarity of the citric acid solution
`Volume of solution = (0.005/0.016) = 0.31 L`
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