Enter your answer in the provided box. An air-purification method for enclosed s
ID: 1062871 • Letter: E
Question
Enter your answer in the provided box. 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(g) rightarrow Li_2CO_3(s) + H_20(l) Consider the air supply in a submarine with a total volume of 2.7 times^5 L. The pressure is 0.9970 atm. and the temperature is 25degreeC. By how much would the pressure in the submarine drop if 3.25 kg of LiOH were completely consumed by reaction with C02?Explanation / Answer
from equation , 2 mol LiOH = 1 mol CO2
no of mole of air in submarine(n) = PV/RT
= 0.997*2.7*10^5/(0.0821*298)
= 11002.7 mole
no of mole of LiOH allowed = w/mwt = 3.25*10^3/23.95 = 135.7 mole
NO of mole of CO2 reacts = 135.7/2 = 67.85 mole
so that , no of mole of Air in submarine reducedto = 11002.7 - 67.85 = 10934.85 mole
final pressure(P) = nRT/V
P = 10934.8*0.0821*298/(2.7*10^5)
= 0.991 atm
change in pressure(DP) = 0.997 -0.991 = 0.006 atm
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