An air-purification method for enclosed spaces involves the use of \"scrubbers\"

Question

An air-purification method for enclosed spaces involves the use of "scrubbers" containing aqueous lithium hydroxide, which reacts with carbon dioxide to produce lithium carbonate and water: 2LiOH(aq) + CO_2 rightarrow Li_2CO_3(s) + H_2O(i) Consider the air supply in submarine with a total volume of 3.0 times 10^5 L. The pressure is 0.9970 atm, and the temperature is 25 degree C. By how much would the pressure in the submarine drop if 3.05 kg of LiOH were complete, consumed by reaction with CO_2?

Explanation / Answer

moles of LiOH = 3.05 x 1000/23.95 = 127.35 mol

Pressure of the system = 127.35 x 0.08205 x 298/3 x 10^5

                                      = 0.0104 atm

Amount of pressure drop from initial = 0.9970 - 0.0104 = 0.9866 atm

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