Methane gas (carbon tetrahydride) reacts with oxygen by combustion: CH4 + 2O2 -> CO2 + 2H2O
a.)How many moles of methane are needed to produce 3.5*10-4 moles of carbon dioxide?
b.)How many moles of oxygen are needed to react form the 3.5*10-4 moles of carbon dioxide?
c.)How many atoms of oxygen would there be in your answer to question #3b?
CH4 + 2O2 ==> CO2 + 2H2O
a.
There is 1 mol CO2 produced for every mols CH4 used. Therefore you will need 3.5ER-4 mols CH4 to produce 3.5E-4 mols CO2.
b.
There is a flaw in how the question is state; what is the question? If it is how many mols O2 needed to react with the 3.5E-4 mols CH4 the answer is twice that number.
c. Since oxygen is a diatomic molecule (O2) the number of molecules O2 will be 6.02E23 x 3.5E-4 and the number of atoms will be double that.
To answer these questions, we need to use the balanced equation for the combustion of methane.
The balanced equation is: CH4 + 2O2 -> CO2 + 2H2O
a.) To find the number of moles of methane needed to produce 3.5*10^(-4) moles of carbon dioxide, we can use the stoichiometry of the balanced equation. According to the equation, 1 mole of methane produces 1 mole of carbon dioxide. Therefore, the number of moles of methane needed would also be 3.5*10^(-4) moles.
b.) The stoichiometry of the balanced equation tells us that for every 1 mole of methane, 2 moles of oxygen are needed. Therefore, if we need 3.5*10^(-4) moles of carbon dioxide, we would need twice as many moles of oxygen. Thus, we need 2 * 3.5*10^(-4) = 7*10^(-4) moles of oxygen.
c.) To find the number of oxygen atoms in 7*10^(-4) moles of oxygen, we can multiply the number of moles by Avogadro's number (6.022 x 10^23 atoms/mol). Therefore, there would be 7*10^(-4) * (6.022 x 10^23) = 4.2234 x 10^20 atoms of oxygen.
To answer these questions, we will use the balanced chemical equation for the reaction:
CH4 + 2O2 -> CO2 + 2H2O
a.) To determine the number of moles of methane needed to produce a given number of moles of carbon dioxide, we will use the mole ratio from the balanced equation. According to the balanced equation, 1 mole of methane reacts to produce 1 mole of carbon dioxide.
So, if we have 3.5*10^-4 moles of carbon dioxide, then we will need an equal number of moles of methane. Therefore, the answer to question a is 3.5*10^-4 moles of methane.
b.) To determine the number of moles of oxygen needed to react with a given number of moles of carbon dioxide, we will use the mole ratio from the balanced equation. According to the balanced equation, 1 mole of methane reacts with 2 moles of oxygen to produce 1 mole of carbon dioxide.
Therefore, if we have 3.5*10^-4 moles of carbon dioxide, we will need twice as many moles of oxygen. So the answer to question b is (2 * 3.5*10^-4) moles of oxygen, which is equal to 7.0*10^-4 moles of oxygen.
c.) To determine the number of atoms of oxygen in the answer to question b, we will multiply the number of moles of oxygen by Avogadro's number (6.022 x 10^23).
So, the number of atoms of oxygen in question b is (7.0*10^-4) * (6.022 x 10^23) = 4.2174 x 10^20 atoms of oxygen.