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According to the following reaction, how many grams of sulfur are formed when 37.4 g of water are formed?

\[ 2 \text{H}_2\text{S(g)} + \text{SO}_2\text{(g)} \rightarrow 3 \text{S(s)} + 2 \text{H}_2\text{O(l)} \]

A) 99.8 g S
B) 66.6 g S
C) 56.1 g S
D) 44.4 g S
E) 14.0 g S

Answer :

Final answer:

The mass of sulfur formed when 37.4 g of water are formed is 99.8 grams.

Explanation:

To calculate the mass of sulfur formed, we need to use the stoichiometry of the reaction. The stoichiometry tells us the ratio of the coefficients of the reactants and products. In this case, the stoichiometry is 3:2, which means that for every 3 moles of sulfur formed, 2 moles of water are formed.

First, we need to convert the given mass of water to moles. The molar mass of water (H2O) is 18.015 g/mol. Therefore, the number of moles of water formed is:

moles of water = given mass of water / molar mass of water

moles of water = 37.4 g / 18.015 g/mol = 2.073 moles

Now, we can use the stoichiometry to calculate the moles of sulfur formed:

moles of sulfur = (moles of water) * (3 moles of sulfur / 2 moles of water)

moles of sulfur = 2.073 moles * (3 moles of sulfur / 2 moles of water) = 3.1095 moles

Finally, we can convert the moles of sulfur to grams:

grams of sulfur = moles of sulfur * molar mass of sulfur

The molar mass of sulfur (S) is 32.06 g/mol. Therefore, the mass of sulfur formed is:

grams of sulfur = 3.1095 moles * 32.06 g/mol = 99.8 grams

Learn more about calculating the mass of sulfur formed in a chemical reaction here:

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