Sodium peroxide (Na2O2) is used to remove carbon dioxide from (and add oxygen to) the air supply in spacecrafts. It works by reacting with CO2 in the air to produce sodium carbonate (Na2CO3) and O2. 2 Na2O2(s) + 2 CO2(g) → 2 Na2CO3(s) + O2(g) What volume (in liters) of CO2 can be consumed at STP by 435 g Na2O2?

Respuesta :

 The volume  (in liters)  of CO₂  that can  be consumed at STP by 435 g Na₂O₂  is  125 L of Co₂

calculation

2Na₂O₂(s)  +2 CO₂ (g)→  2 Na₂CO₃(s)  + O₂(g)

Step 1 : find the moles  of Na₂O₂

moles = mass÷  molar mass

from periodic table the  molar mass  of Na₂O₂ = (23 x2) +( 16 x2) = 78 g/mol

 moles= 435 g÷ 78 g/mol = 5.58 moles

Step 2: use the mole ratio to determine the moles of CO₂

from given equation  Na₂O₂ : CO₂ =2 :2 =1:1

Therefore the  moles of CO₂  is also = 5.58 moles

Step 3: find the volume  of CO₂  at STP

that is at STP      1  mole of a gas = 22.4 L

                          5.58 moles = ? l

by cross multiplication

= (5.58 moles x 22.4 L) / 1 mole = 125 L

 

Volume is the scalar amount of the space occupied by the substance in the given area. At STP the volume of carbon dioxide is 125 L.

What is STP?

STP is the standard temperature and pressure condition that are used as the references to compare the other gases.

The balanced chemical reaction can be shown as:

[tex]\rm 2Na_{2}O_{2}(s) +2 CO_{2} (g) \rightarrow 2 Na_{2}CO_{3}(s) + O_{2}(g)[/tex]

The moles of Sodium peroxide can be calculated as:

[tex]\begin{aligned}\rm moles& = \rm \dfrac{mass}{molar \; mass}\\\\&= \dfrac{435}{78}\\\\&= 5.58 \;\rm mol\end{aligned}[/tex]

Now the moles of carbon dioxide can be determined by the mole of the Sodium peroxide as the ratio of both is 1:1 so moles of carbon dioxide will be 5.58.

The volume of carbon dioxide at STP can be calculated as:

1 mole of gas = 22.4 L at STP

So, 5.58 moles of carbon dioixde = ?

[tex]\dfrac{5.58 \times 22.4}{1} = 125 \;\rm L[/tex]

Therefore, at STP the volume of carbon dioxide is 125 L.

Learn more about STP and volume here:

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