Enter your answer in the provided box. An air-purification method for enclosed s

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) + CO2(g) Li2CO3(s) + H20() Consider the air supply in a submarine with a total volume of 1.8 x 10 L. The pressure is 0.9970 atm, and the temperature is 25°C. By how much would the pressure in the submarine drop if 2.75 kg of LiOH were completely consumed by reaction with CO2? References e Book & Resources

Explanation / Answer

Molar mass of LiOH = 6.95 + 16 + 1 = 23.95 gm/mol

Number of moles of LiOH = Mass of LiOH/Molar mass = 2750/23.95 = 114.82 moles

In the reaction

2LiOH(aq) + CO2(g) ------- Li2CO3(s) + H2O(l)

Number of moles of CO2 required = Number of moles of LiOH/2 = 114.82/2 = 57.411 moles

Using the ideal gas equation

PV = nRT

P(1.8 * 10^5) = 57.411 * 0.0821 * (273+25)

P = 0.00780 atm

Hence after the reaction, this much pressure will be reduced since CO2 will be comsumed

Therefore, correct answer is 0.00780 atm

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