Calculate the moles of hexane required to form 150 g of carbon dioxide. Please show all working. Thank you.
To calculate the moles of substance required, we need to follow these steps:
1. Determine the molar mass of hexane (C6H14) and carbon dioxide (CO2).
2. Convert the mass of carbon dioxide (150 g) into moles.
3. Use the balanced chemical equation to determine the mole ratio between hexane and carbon dioxide.
4. Calculate the moles of hexane using the mole ratio.
Step 1: Determine the molar mass of hexane and carbon dioxide.
The molar mass of hexane (C6H14) can be calculated by summing up the atomic masses of carbon (C) and hydrogen (H).
Molar mass of carbon (C) = 12.01 g/mol
Molar mass of hydrogen (H) = 1.01 g/mol
Molar mass of hexane (C6H14) = (6 * 12.01 g/mol) + (14 * 1.01 g/mol)
Step 2: Convert the mass of CO2 into moles.
To convert the mass of CO2 into moles, we need to use the molar mass of CO2.
Molar mass of carbon dioxide (CO2) = (12.01 g/mol * 1) + (16.00 g/mol * 2)
Number of moles of CO2 = Mass of CO2 / Molar mass of CO2
Number of moles of CO2 = 150 g / (12.01 g/mol + 16.00 g/mol * 2)
Step 3: Use the balanced chemical equation to determine the mole ratio.
The balanced equation for the combustion of hexane (C6H14) shows that 1 mole of hexane produces 6 moles of carbon dioxide.
C6H14 + 19/2 O2 → 6 CO2 + 7 H2O
Therefore, the mole ratio of hexane to carbon dioxide is 1:6.
Step 4: Calculate the moles of hexane.
To calculate the moles of hexane, we multiply the number of moles of carbon dioxide by the mole ratio:
Number of moles of hexane = Number of moles of CO2 * (1 mole of hexane / 6 moles of CO2)
Substituting the values:
Number of moles of hexane = (150 g / (12.01 g/mol + 16.00 g/mol * 2)) * (1 mole / 6 moles)
Now, you can calculate the moles of hexane required using the given formula.
2C6H6+15O2>> 12CO2 + 6H2O
find the moles of 150g CO2.Then, you need 1/6 th of that moles of hexane