Cyclohexane is composed of 85.6 % C and 14.4% H. when it is mixed in the proper ratio with oxygen, it can be used as an anesthetic. At 755 mmHg, and 25 degrees Celcius, it has a density of 2.05 g/L.
what is the molar mass of cyclohexane and its molecular formula?
The way i posted it the first time is correct..please help! im stuck
I am answering this below in the original post.
To find the molar mass and molecular formula of cyclohexane, we can use the given information about its composition and density.
1. Determine the number of moles of carbon and hydrogen in 100g of cyclohexane.
- Given that cyclohexane is composed of 85.6% carbon, the mass of carbon in 100g of cyclohexane is 85.6g.
- Likewise, the mass of hydrogen in 100g of cyclohexane is 14.4g.
- To determine the moles of each element, we can divide their masses by their respective molar masses.
- The molar mass of carbon is 12.01 g/mol and the molar mass of hydrogen is 1.008 g/mol.
Moles of carbon = mass of carbon / molar mass of carbon
= 85.6g / 12.01 g/mol
Moles of hydrogen = mass of hydrogen / molar mass of hydrogen
= 14.4g / 1.008 g/mol
2. Find the molar mass of cyclohexane.
- The molar mass of cyclohexane can be calculated by adding the molar masses of carbon and hydrogen.
- The molecular formula of cyclohexane is C₆H₁₂, which means it contains 6 carbon atoms and 12 hydrogen atoms.
- Multiply the number of moles of each element by its respective atomic count.
Molar mass of cyclohexane = (moles of carbon x molar mass of carbon) + (moles of hydrogen x molar mass of hydrogen)
= (moles of carbon x 12.01 g/mol) + (moles of hydrogen x 1.008 g/mol)
3. Calculate the moles of carbon and hydrogen.
- Use the mole ratio from the molecular formula (C₆H₁₂) to calculate the moles of carbon and hydrogen.
Moles of carbon = moles of hydrogen / 12
= moles of hydrogen / 12
4. Calculate the molar mass of cyclohexane.
- Substitute the calculated values back into the molar mass equation.
Molar mass of cyclohexane = (moles of carbon x 12.01 g/mol) + (moles of hydrogen x 1.008 g/mol)
By following these steps, we can determine the molar mass of cyclohexane and its molecular formula.