Most of the sulfur used in the United States is chemically synthesized from hydr

Question

Most of the sulfur used in the United States is chemically synthesized from hydrogen sulfide gas recovered from natural gas wells. In the first step of this synthesis, called the Claus process, hydrogen sulfide gas is reacted with dioxygen gas to produce gaseous sulfur dioxide and water. Suppose a chemical engineer studying a new catalyst for the Claus reaction finds that 621. liters per second of dioxygen are consumed when the reaction is run at 193.°C and 0.55atm . Calculate the rate at which sulfur dioxide is being produced. Give your answer in kilograms per second. Round your answer to 2 significant digits.

Explanation / Answer

2 H2S +    3 O2    ---------------> 2 SO2   +   2 H2O

volume = 621. L

pressure = 0.55 atm

temperatuure = 193.oC = 466.15 K

P V = n R T

0.55 x 621 = n x 0.0821 x 466

n = 8.924

moles of O2 = 8.924

moles of SO2 = 2/3 x 8.924 = 5.95 mol

production rate = 5.95 x 64 = 381 g / s

rate of sulfur dioxide produced = 0.38 kg/s

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