What is the number of moles of hydrogen in a sample of carvone that contains 0.0503 moles of carbon?
To determine the number of moles of hydrogen in a sample of carvone (CH3OC(CH3)), we need to analyze the molecular formula and count the number of hydrogen atoms present.
Analysis of Molecular Formula
Given: Molecular formula of carvone: CH3OC(CH3)
Number of moles of carbon (C): 0.0503 moles
By examining the molecular formula of carvone, we can identify the number of hydrogen atoms. The molecular formula CH3OC(CH3) consists of a CH3 group and a (CH3) group, which contribute hydrogen atoms.
Calculation of Hydrogen Moles
The total number of hydrogen atoms in carvone can be determined as follows:
Total number of hydrogen atoms = (3 hydrogen atoms in CH3) + (2 hydrogen atoms in CH3 within (CH3))
Total number of hydrogen atoms = 3 + 2 = 5 hydrogen atoms
To calculate the moles of hydrogen, we need to consider the mole ratio between hydrogen and carbon. Since there are 5 hydrogen atoms for every 1 carbon atom in carvone, the moles of hydrogen can be calculated as:
Moles of hydrogen = Number of moles of carbon * (5 moles of hydrogen / 1 mole of carbon)
Moles of hydrogen = 0.0503 moles * (5 moles of hydrogen / 1 mole of carbon)
Moles of hydrogen = 0.0503 moles * 5
Moles of hydrogen = 0.2515 moles
Therefore, in a sample of carvone containing 0.0503 moles of carbon, there are approximately 0.2515 moles of hydrogen.
By examining the molecular formula of carvone (CH3OC(CH3)), we can determine the number of hydrogen atoms present by counting the hydrogen atoms within each functional group. The CH3 group contributes 3 hydrogen atoms, and within the (CH3) group, there are 2 additional hydrogen atoms. Combining these, we find a total of 5 hydrogen atoms. To determine the moles of hydrogen, we multiply the number of moles of carbon by the mole ratio between hydrogen and carbon, which is 5 moles of hydrogen per 1 mole of carbon. By performing the calculation, we find that the sample contains approximately 0.2515 moles of hydrogen.