Question

Пероксид натрия используется для регенерации воздуха в подводных лодках. Процесс происходит по схеме Na2O2 + CO2 -> Na2CO3 + O2 . Какой объем углекислого газа можно восстановить пероксидом натрия массой 7.8кг?

Answer 1

В приложении решение к задаче

Answer 2

Sodium Peroxide for Air Regeneration in Submarines

Sodium peroxide (Na2O2) is indeed used for air regeneration in submarines. It plays a crucial role in removing carbon dioxide (CO2) from the air and generating oxygen (O2) through a chemical reaction. The process can be represented by the following equation:

Na2O2 + CO2 -> Na2CO3 + O2

The sodium peroxide reacts with carbon dioxide to produce sodium carbonate (Na2CO3) and release oxygen gas.

Calculating the Volume of Carbon Dioxide

To calculate the volume of carbon dioxide that can be regenerated by a given mass of sodium peroxide, we need to use the molar mass of sodium peroxide and the stoichiometry of the reaction.

The molar mass of sodium peroxide (Na2O2) is approximately 77.98 g/mol. Therefore, the number of moles of sodium peroxide can be calculated by dividing the mass of sodium peroxide by its molar mass:

Number of moles of Na2O2 = Mass of Na2O2 / Molar mass of Na2O2

Given that the mass of sodium peroxide is 7.8 kg (or 7800 g), we can calculate the number of moles:

Number of moles of Na2O2 = 7800 g / 77.98 g/mol

Next, we need to determine the stoichiometric ratio between sodium peroxide and carbon dioxide in the reaction. From the balanced equation, we can see that one mole of sodium peroxide reacts with one mole of carbon dioxide:

Na2O2 + CO2 -> Na2CO3 + O2

Therefore, the number of moles of carbon dioxide produced will be equal to the number of moles of sodium peroxide:

Number of moles of CO2 = Number of moles of Na2O2

Finally, we can calculate the volume of carbon dioxide using the ideal gas law, which states that the volume of a gas is directly proportional to the number of moles:

Volume of CO2 = Number of moles of CO2 * Molar volume of gas at standard conditions

The molar volume of a gas at standard conditions (0°C and 1 atm) is approximately 22.4 L/mol.

Calculation

Let's calculate the volume of carbon dioxide that can be regenerated by 7.8 kg of sodium peroxide:

1. Calculate the number of moles of sodium peroxide: - Molar mass of Na2O2 = 77.98 g/mol - Number of moles of Na2O2 = 7800 g / 77.98 g/mol

2. Calculate the number of moles of carbon dioxide: - Number of moles of CO2 = Number of moles of Na2O2

3. Calculate the volume of carbon dioxide: - Volume of CO2 = Number of moles of CO2 * Molar volume of gas at standard conditions

By following these steps, you can determine the volume of carbon dioxide that can be regenerated by 7.8 kg of sodium peroxide.