How many grams of sodium sulfide are actually formed if  1.80 g of hydrogen sulfide is bubbled into a solution containing 2.40 g of sodium hydroxide, assuming that the sodium sulfide is made in 93.0 % yield? Hint:  Set up the balanced chemical equation first.  Calculate the theoretical yield, then the actual yield.

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Asked Sep 23, 2019
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How many grams of sodium sulfide are actually formed if  1.80 g of hydrogen sulfide is bubbled into a solution containing 2.40 g of sodium hydroxide, assuming that the sodium sulfide is made in 93.0 % yield? Hint:  Set up the balanced chemical equation first.  Calculate the theoretical yield, then the actual yield.

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Expert Answer

Step 1

Given,

Mass of hydrogen sulfide, H2S = 1.80 g

Mass of sodium hydroxide, NaOH = 2.40 g

Moles of H2S and NaOH can be calculated as:

Molar mass of H2S = (2x 1)32 34 g/mol
1.80 g
Mass
0.053 mol
Moles Molar mass 34 g/mol
Molar mass of NaOH
23 161 40 g/mol
2.40 g
Mass
0.06 mol
Moles Molar mass 40 g/mol
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Molar mass of H2S = (2x 1)32 34 g/mol 1.80 g Mass 0.053 mol Moles Molar mass 34 g/mol Molar mass of NaOH 23 161 40 g/mol 2.40 g Mass 0.06 mol Moles Molar mass 40 g/mol

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Step 2

The balanced chemical reaction can be written as:

2 NaOH + H2S → Na2S + 2 H2O

From the reaction, the stoichiometric molar ratio of H2S : NaOH = 1 : 2

And the calculated molar ratio of H2S : NaOH = 1 : 1.13

That means NaOH is the limiting reagent, thus the moles of Na2S will depend on the moles of NaOH. Therefore, moles of Na2S formed can be calculated as:

1 mol Na2S
2 mol NaOH gives
1 mol Na2S
. 0.06 mol NaOH will give
x 0.06 mol NaOH
2 mol NaOH
=0.03 mol N22S
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1 mol Na2S 2 mol NaOH gives 1 mol Na2S . 0.06 mol NaOH will give x 0.06 mol NaOH 2 mol NaOH =0.03 mol N22S

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Step 3

Grams of Na2S can be calc...

78 g/mol
Molar mass of Na2S = (2x23) 32
Mass
MolesMolar mass
Mass Moles x Molar mass
Mass 0.03 mol x 78 g/mol
Mass 2.34 g
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78 g/mol Molar mass of Na2S = (2x23) 32 Mass MolesMolar mass Mass Moles x Molar mass Mass 0.03 mol x 78 g/mol Mass 2.34 g

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