Answer:
75mL
Explanation:
Step 1:
The balanced equation for the reaction. This is illustrated below:
C6H8O7 + 3NaHCO3 → Na3C6H5O7 + 3CO2 + 3H2O
Step 2:
Conversion of 15g of baking soda (NaHCO3) to mole.
This is illustrated below:
Mass of NaHCO3 = 15g
Molar Mass of NaHCO3 = 23 + 1 + 12 + (16x3) = 23 + 1 + 12 + 48 = 84g/mol
Number of mole = Mass/Molar Mass
Number of mole of NaHCO3 = 15/84 = 0.179 mole
Step 3:
Determination of the number of mole of citric acid (C6H8O7) produced by the reaction. This is illustrated below:
From the balanced equation above,
1 mole of C6H8O7 reacted with 3 moles of NaHCO3.
Therefore, Xmol of C6H8O7 will react with 0.179 mole of NaHCO3 i.e
Xmol of C6H8O7 = 0.179/3
Xmol of C6H8O7 = 0.06 mole.
Step 4:
Determination of the volume of C6H8O7 needed for the reaction. This is illustrated below:
Molarity of C6H8O7 = 0.8 M
Mole of C6H8O7 = 0.06
Volume =..?
Molarity = mole /Volume
Volume = mole /Molarity
Volume = 0.06/0.8
Volume = 0.075L
Converting 0.075L to mL, we have:
1L = 1000mL
Therefore 0.075L = 0.075 x 1000 = 75mL.
Therefore, 75mL of citric acid (C6H8O7) is needed for the reaction.
