In this question, we have the following reaction occurring:
Na2S + 2 AgNO3 --> Ag2S + 2 NaNO3
We have:
17.8 grams of Na2S
31 grams of NaNO3 actually produced
Now we have to find the theoretical yield of NaNO3 that would be produced from 17.8 grams of Na2S
Using the molar mass of Na2S, 78.04g/mol, we can find the number of moles:
78.04 grams = 1 mol
17.8 grams = x moles
78.04x = 17.8
x = 17.8/78.04
x = 0.23 moles of Na2S in 17.8 grams
The molar ratio between Na2S and NaNO3 is 1:2, therefore we will produce two times more moles of NaNO3 than Na2S
0.23 * 2 = 0.46 moles of NaNO3 will be produced
Using the molar mass of NaNO3, 85g/mol, we can find the mass:
85 grams = 1 mol
x grams = 0.46 moles
x = 0.46 * 85
x = 39.1 grams
Now to find the percent yield, we will use the following formula:
%yield = actual yield/theoretical yield
%yield = 31/39.1
%yield = 0.8 or 80%
The percent yield will be 80% letter D