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Carbon dioxide is removed from the atmosphere of space capsules by reaction with a solid metal hydroxide. The products are water and the metal carbonate.

(a) Calculate the mass of CO2that can be removed by reaction with 3.50 kg of lithium hydroxide.

(b) How many grams of CO2 can be removed by 1.00 g of each of the following: lithium hydroxide, magnesium hydroxide, and aluminum hydroxide?

Short Answer

Expert verified

a. The mass of CO2 that can be removed by reaction with 3.50 kg of lithium hydroxide is 3.22x103 g.

b.The mass of CO2 can be removed by 1.00 g of each of the following: lithium hydroxide, magnesium hydroxide, and aluminum hydroxide are 0.919 g, 0.755 g, and 0.846 g, respectively.

Step by step solution

01

(a) Determination of mass of CO2

The chemical equation for the process is,

2LiOH(s)+CO2(g)→Li2CO3(s)+H2O(I)

From the above reaction, it is concluded that 2 moles of LiOH reacts with 1 mol of CO2.

Molar mass of 1 mol of LiOH = 23.95 g

Molar mass of CO2= 44.01 g

So, 47.9 g of LiOH reacts with 44.01 g of CO2.

Mass of given LiOH = 3.50 kg = 3.50x103g

Now, the mass of CO2 is,

=44.01g×(3.50×103g)47.9g=3.22×103g

Thus, the mass of CO2 that can be removed by reaction with 3.50 kg of lithium hydroxide is 3.22x103 g.

02

(b) Determination of mass of CO2

The chemical equation for the process is,

2LiOH(s)+CO2(g)→Li2CO3(s)+H2O(I)

From the above reaction, it is concluded that 2 moles of LiOH reacts with 1 mol of CO2.

So, 47.9 g of LiOH reacts with 44.01 g of CO2.

Mass of given LiOH = 1.0 g

Now, the mass of CO2 is,

=44.01g×1.0g47.9g=0.919g

Hence, the mass of CO2 can be removed by the reaction with 1.0 g of Lithium hydroxide is 0.919 g.

The chemical equation for the process is,

Mg(OH)2(s)+CO2(g)→MgCO3(s)+H2O(I)

From the above reaction, it is concluded that 1 moles of Mg(OH)2 reacts with 1 mol of CO2.

So, 58.33 g of Mg(OH)2 reacts with 44.01 g of CO2.

Mass of givenMg(OH)2 = 1.0 g

Now, the mass of CO2 is,

=44.01g×1.0g58.33g=0.755g

Hence, the mass of CO2 can be removed by the reaction with 1.0 g of Magnesium hydroxide is 0.755 g.

The chemical equation for the process is,

2AI(OH)3(s)+3CO2(g)→AI2CO3(s)+3H2O(I)

From the above reaction, it is concluded that 2 moles of Al(OH)3 reacts with 3mol of CO2.

So, 156.01 g of Al(OH)3 reacts with 132.03 g of CO2.

Mass of given Al(OH)3 = 1.0 g

Now, the mass of CO2 is,

=132.03g×1.0g156.01g=0.846g

Hence, the mass of CO2 can be removed by the reaction with 1.0 g of Aluminum hydroxide is 0.846 g.

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