CH4(g) + 2O2(g) = CO2 (g) + 2H2O(g)
One mole of methane (CH4) molecules reacts with two moles of oxygen molecules to form one mole of carbon dioxide molecules and two moles of water molecules.
1. 4.1 moles of methane molecules react with oxygen according to the above reaction. How many moles of oxygen molecules reacted?
2. 4.8 moles of oxygen molecules react with methane according to the above reaction. How many moles of carbon dioxide molecules formed?
3. 5.2 moles of carbon dioxide are formed in the above reaction. How many moles of water formed?
Use the coefficients. That's what they tell you.
1.
4.1 mols CH4 x ( 2mols O2/1 mol CH4) = 4.1 x (2/1) = 8.2 mols O2
2,
4.8 mols O2 x (1 mol CO2/2 mols O2) = 4.8 x 1/2 = ?
3. Follow the above. Notice the units. In #1, mols CH4 in numerator cancel mols CH4 in the denominator of the fraction to leave units of mols O2 which is what the question wanted. This method ALWAYS works.
1. Well, if one mole of methane reacts with two moles of oxygen, then 4.1 moles of methane would need twice as much oxygen, which is 8.2 moles. So, 8.2 moles of oxygen molecules reacted.
2. If 4.8 moles of oxygen molecules react with methane, and the ratio is 1:1, then the same number of moles of carbon dioxide would form. So, 4.8 moles of carbon dioxide molecules would be formed.
3. If 5.2 moles of carbon dioxide molecules are formed, and the ratio is 1:2, then twice that number of moles of water would be formed. So, 2 times 5.2 equals 10.4 moles of water would be formed.
1. 4.1 moles of methane molecules react with oxygen according to the above reaction. How many moles of oxygen molecules reacted?
According to the balanced equation, the mole ratio between methane and oxygen is 1:2. This means that for every 1 mole of methane, 2 moles of oxygen are required.
Since we have 4.1 moles of methane, we can calculate the moles of oxygen by multiplying it by the mole ratio:
4.1 moles CH4 * (2 moles O2/1 mole CH4) = 8.2 moles of O2
Therefore, 8.2 moles of oxygen molecules reacted.
2. 4.8 moles of oxygen molecules react with methane according to the above reaction. How many moles of carbon dioxide molecules formed?
Again, referring to the balanced equation, the mole ratio between oxygen and carbon dioxide is 2:1. This means that for every 2 moles of oxygen, 1 mole of carbon dioxide is formed.
So, we can calculate the moles of carbon dioxide formed using the mole ratio and the given moles of oxygen:
4.8 moles O2 * (1 mole CO2/2 moles O2) = 2.4 moles CO2
Therefore, 2.4 moles of carbon dioxide molecules formed.
3. 5.2 moles of carbon dioxide are formed in the above reaction. How many moles of water formed?
Referring to the balanced equation, the mole ratio between carbon dioxide and water is 1:2. This means that for every 1 mole of carbon dioxide, 2 moles of water are formed.
Using the mole ratio and the given moles of carbon dioxide, we can calculate the moles of water formed:
5.2 moles CO2 * (2 moles H2O/1 mole CO2) = 10.4 moles H2O
Therefore, 10.4 moles of water molecules formed.
To solve these questions, we will use the coefficients from the balanced chemical equation you provided. Let's solve each question step by step:
1. 4.1 moles of methane molecules react with oxygen according to the given reaction. We can use the mole ratio between methane and oxygen to find the number of moles of oxygen reacted. According to the balanced equation, the mole ratio between CH4 and O2 is 1:2.
So, to find the moles of oxygen reacted, we multiply the moles of methane by the mole ratio:
Moles of Oxygen = 4.1 moles CH4 * (2 moles O2 / 1 mole CH4) = 8.2 moles O2.
Therefore, 8.2 moles of oxygen molecules reacted.
2. 4.8 moles of oxygen molecules react with methane according to the given reaction. This time, we will use the mole ratio between oxygen and carbon dioxide to find the number of moles of carbon dioxide formed. According to the balanced equation, the mole ratio between O2 and CO2 is 2:1.
So, to find the moles of carbon dioxide formed, we multiply the moles of oxygen by the mole ratio:
Moles of Carbon Dioxide = 4.8 moles O2 * (1 mole CO2 / 2 moles O2) = 2.4 moles CO2.
Therefore, 2.4 moles of carbon dioxide molecules formed.
3. 5.2 moles of carbon dioxide are formed in the given reaction. Now we will use the mole ratio between carbon dioxide and water to find the number of moles of water formed. According to the balanced equation, the mole ratio between CO2 and H2O is 1:2.
So, to find the moles of water formed, we multiply the moles of carbon dioxide by the mole ratio:
Moles of Water = 5.2 moles CO2 * (2 moles H2O / 1 mole CO2) = 10.4 moles H2O.
Therefore, 10.4 moles of water molecules formed.
I hope this helps! Let me know if you have any further questions.