In: Chemistry
Solutions of sodium carbonate and silver nitrate react to form solid silver carbonate and a solution of sodium nitrate. A solution containing 8.75 g of sodium carbonate is mixed with one containing 6.00 g of silver nitrate. After the reaction is complete, the solutions are evaporated to dryness, leaving a mixture of salts. How many grams of each of the following compounds are present after the reaction is complete?
a) sodium carbonate
b) silver nitrate
c) silver carbonate
d) sodium nitrate
we know that
moles = mass / molar mass
so
moles of Na2C03 taken = 8.75 / 106 = 0.082547
moles of AgN03 taken = 6 / 170 = 0.0356
now
the reaction is
Na2C03 + 2AgN03 ---> Ag2C03 + 2NaN03
we can see that
moles of AgN03 required = 2 x moles of Na2C03
so
moles of AgN03 required = 2 x 0.082547 = 0.165
but
only 0.0356 moles of AgN03 is present
so
AgN03 is the limiting reagent
from the reaction we can see that
moles of Na2C03 reacted = 0.5 x moles of AgN03
moles of Na2C03 reacted = 0.5 x 0.0356 = 0.0178
so
moles of Na2C03 unreacted = 0.082547 - 0.0178 = 0.064747
now
mass = moles x molar mass
so
mass of Na2C03 left = 0.064747 x 106 = 6.863
now
moles of Ag2C03 formed = moles of Na2C03 reacted = 0.0178
mass of Ag2C03 formed = 0.0178 x 275.75 = 4.91 grams
moles of NaN03 formed = moles of AgN03 reacted =
0.0356
mass of AgN03 formed = 0.0356 x 85 = 3.026 grams
so
a) Na2C03 ---> 6.863 grams
b) AgN03 --> 0
c) Ag2C03 ---> 4.91 grams
d) NaN03 ---> 3.026 grams