A scientist wants to make a solution of tribasic sodium phosphate, Na3PO4, for a laboratory experiment. How many grams of Na3PO4 will be needed to produce 600mL of a solution that has a concentration of Na+ ions of 0.500M ? Express your answer to three significant figures and include the appropriate units.
Given
Na3P04
Na3P04 ---> 3 Na+ + P043-
from the above reaction
[Na+] = 3 x [Na3P04]
given
[Na+] = 0.5 M
so
0.5 = 3 x [Na3P04]
[Na3P04] = 0.16666 M
we know that
molarity = moles / volume (L)
so
0.1666 = moles / 0.6
moles = 0.1
moles of Na3P04 = 0.1
now
mass = moles x molar mass
so
mass of Na3P04 = 0.1 x 163.94
mass of Na3P04 = 16.39 g
so
mass of Na3P04 required is 16.4 g
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