CH4 + 2O2 --> CO2 + 2H2O
a. How many grams of methane are needed to produce 1.5 X 10^-2 grams of carbon dioxide?
b. How many grams of oxygen are needed to react to form the 1.5 X 10^-2 grams moles of carbon dioxide?
a.
mols CO2 = grams/molar mass = ?
Using the coefficients in the balanced equation, convert mols CO2 to mols CH4.
Now convert mols CH4 to grams. g = mols x molar mass = ? g CH4.
b doesn't make sense. grams mols???
To solve these questions, we need to use stoichiometry, which is the calculation of reactants and products in chemical reactions. The balanced chemical equation you provided, CH4 + 2O2 -> CO2 + 2H2O, indicates the mole ratios between the reactants and products. Let's go step by step.
a. To find the number of grams of methane needed to produce 1.5 X 10^-2 grams of carbon dioxide, we will use the mole ratio between CH4 and CO2.
1. Determine the molar mass of carbon dioxide (CO2) and methane (CH4). The molar masses are:
CO2 = 12.01 g/mol (C) + 2*16.00 g/mol (O) = 44.01 g/mol
CH4 = 12.01 g/mol (C) + 4*1.01 g/mol (H) = 16.04 g/mol
2. Calculate the number of moles of CO2:
moles of CO2 = mass of CO2 / molar mass of CO2
moles of CO2 = 1.5 X 10^-2 g / 44.01 g/mol
3. Use the balanced equation to establish the mole ratio between CH4 and CO2:
1 mol CH4 produces 1 mol CO2
4. Calculate the moles of CH4 needed to produce the given moles of CO2:
moles of CH4 = moles of CO2
5. Calculate the mass of CH4 using the moles of CH4 and the molar mass of CH4:
mass of CH4 = moles of CH4 * molar mass of CH4
Now you can substitute the values into the formulas and calculate the result.
b. To find the grams of oxygen needed to react with the given moles of carbon dioxide (CO2), we will use the mole ratio between O2 and CO2.
1. Calculate the moles of CO2 using the given mass and the molar mass of CO2.
moles of CO2 = mass of CO2 / molar mass of CO2
2. Use the balanced equation to determine the mole ratio between O2 and CO2:
2 mol O2 : 1 mol CO2
3. Calculate the moles of O2 needed to react with the given moles of CO2:
moles of O2 = (moles of CO2)*(2/1)
4. Calculate the mass of O2 using the moles of O2 and the molar mass of O2:
mass of O2 = moles of O2 * molar mass of O2
Now you can substitute the values into the formulas and calculate the result.