Most of the used in the United States is chemically synthesized from hydrogen su

Question

Most of the 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 198. liters per second of dioxygen are consumed when the reaction is un at 186. °C and 0.69 atm. Calculate the rate at which sulfur dioxide is being produced. Give your answer in kilograms per second. Round your answer to 2 significant digits. MacBook Air 5 3

Explanation / Answer

The balanced reaction is

2 H2S + 3 O2 = 2 SO2 + 2 H2O

Volume of O2 consumed = 198 L/s

Temperature T = 186 + 273 = 459 K

Pressure P = 0.69 atm

Gas constant R = 0.0821 L-atm/mol-K

From the ideal gas equation

Moles of O2 consumed

n = PV/RT

= 0.69 atm x 198 L/s / 0.0821 L-atm/mol-K x 459 K

= 3.625 mol/s

Moles of SO2 produced

= 2 mol SO2 x 3.625 mol/s O2 / 3 mol O2

= 2.42 mol/s SO2

Mass of SO2 produced = moles x molecular weight

= 2.42 mol/s x 64 g/nol

= 154.68 g/s x 1kg/1000g

= 0.155 kg/s

= 1.55 x 10^-1 kg/s

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