How many moles of C are present in 0.651 moles of Benadryl?
Express your answer to three significant figures and include the appropriate units
In the chemical formula for Benadryl (C17H21NO·C7H6O2), there are 17 moles of carbon (C) atoms.
Therefore, in 0.651 moles of Benadryl, there would be 17 times 0.651 moles of carbon.
Calculating this, we get:
0.651 moles of Benadryl * 17 moles of carbon per 1 mole of Benadryl = 11.067 moles of carbon.
Therefore, there are approximately 11.067 moles of carbon in 0.651 moles of Benadryl, to three significant figures.
To find the number of moles of carbon (C) present in 0.651 moles of Benadryl, we need to determine the molar mass of Benadryl and then use stoichiometry to calculate the moles of carbon.
The chemical formula for Benadryl is C17H21NO.
Step 1: Calculate the molar mass of Benadryl.
The molar mass of carbon (C) is 12.01 g/mol.
The molar mass of hydrogen (H) is 1.01 g/mol.
The molar mass of nitrogen (N) is 14.01 g/mol.
The molar mass of oxygen (O) is 16.00 g/mol.
So, the molar mass of Benadryl can be calculated as:
(17 * 12.01 g/mol) + (21 * 1.01 g/mol) + (1 * 14.01 g/mol) + (1 * 16.00 g/mol) = 290.38 g/mol (rounded to three significant figures).
Step 2: Calculate the moles of carbon (C) in 0.651 moles of Benadryl.
Since there is 1 mole of carbon in 1 mole of Benadryl, the moles of carbon in 0.651 moles of Benadryl is also 0.651 moles.
Therefore, there are 0.651 moles of C present in 0.651 moles of Benadryl.
To find the number of moles of carbon (C) present in 0.651 moles of Benadryl, we need to know the molar mass of Benadryl and the ratio of carbon atoms in its chemical formula.
The chemical formula of Benadryl is C₁₇H₂₁NO, which means it contains 17 carbon atoms.
Step 1: Find the molar mass of Benadryl.
To do this, add up the atomic masses of all the atoms in the compound:
(12.01 g/mol × 17) + (1.01 g/mol × 21) + (14.01 g/mol × 1) = 224.27 g/mol
Step 2: Determine the ratio of carbon atoms.
Since the formula shows that Benadryl (C₁₇H₂₁NO) has 17 carbon atoms, the ratio of carbon atoms to Benadryl molecules is 17:1.
Step 3: Calculate the number of moles of carbon in 0.651 moles of Benadryl.
Multiply the given number of moles of Benadryl by the ratio of carbon atoms to Benadryl molecules:
0.651 moles Benadryl × (17 moles C / 1 mole Benadryl) = 11.067 moles C
Step 4: Express the answer to three significant figures with units.
After rounding to three significant figures, the answer is 11.1 moles of C.
Therefore, there are 11.1 moles of carbon (C) present in 0.651 moles of Benadryl.