Question

Метан объемом 67,2 л сожгли в кислороде объемом 67,2л. Определите объем углекислого газа, образовавшегося в ходе реакции. Каков объем непрореагировавшего газа?

Answer 1

Reaction and Calculation

To determine the volume of carbon dioxide gas formed and the volume of unreacted gas, we need to consider the reaction between methane (CH4) and oxygen (O2) to produce carbon dioxide (CO2) and water (H2O):

CH4 + 2O2 → CO2 + 2H2O

Given that the volume of methane burned is 67.2 liters and the volume of oxygen used is also 67.2 liters, we can use the stoichiometry of the reaction to calculate the volume of carbon dioxide formed and the volume of unreacted gas.

Volume of Carbon Dioxide Formed

According to the balanced equation, for every 1 mole of methane burned, 1 mole of carbon dioxide is formed. Since the volume of methane burned is 67.2 liters, we can assume that it is also 1 mole (since the volume of 1 mole of any ideal gas at standard temperature and pressure is approximately 22.4 liters).

Therefore, the volume of carbon dioxide formed is also 67.2 liters.

Volume of Unreacted Gas

To determine the volume of unreacted gas, we need to calculate the volume of oxygen that reacted with the methane. According to the balanced equation, 2 moles of oxygen are required to react with 1 mole of methane.

Since the volume of methane burned is 67.2 liters (which we assumed to be 1 mole), the volume of oxygen required would be 2 moles or 2 times the volume of methane burned.

Therefore, the volume of unreacted gas is the difference between the volume of oxygen used (67.2 liters) and the volume of oxygen required (2 times the volume of methane burned).

Let's calculate the volume of unreacted gas:

Volume of unreacted gas = Volume of oxygen used - 2 * Volume of methane burned = 67.2 liters - 2 * 67.2 liters = 67.2 liters - 134.4 liters = -67.2 liters

The negative value suggests that there is no unreacted gas remaining. Therefore, the volume of unreacted gas is 0 liters.

To summarize: - The volume of carbon dioxide formed is 67.2 liters. - There is no unreacted gas remaining.

Please let me know if there is anything else I can help you with!