Calculate the number of C atoms in a .25mg sample of C8H10N4O2
mols C8H10N4O2 = 0.00025/molar mass = ?
There are 6.02E23 molecules in 1 mol of that material.
There are 8 C atoms per molecule of that material.
thank you
To calculate the number of carbon (C) atoms in a given sample of a compound, we need to utilize the Avogadro's number and the molecular formula of the compound.
Step 1: Determine the molar mass of the compound.
The molecular formula of the compound is C8H10N4O2. To calculate the molar mass, we need to know the atomic masses of the elements. In atomic mass units (amu), the atomic masses are approximately:
C: 12.01 amu
H: 1.01 amu
N: 14.01 amu
O: 16.00 amu
Now we can calculate the molar mass of the compound:
Molar mass = (8 * atomic mass of C) + (10 * atomic mass of H) + (4 * atomic mass of N) + (2 * atomic mass of O)
Step 2: Convert the mass of the sample to moles.
The sample mass is given as 0.25 mg. To convert this to grams (g):
0.25 mg = 0.25 * 10^(-3) g
Next, use the molar mass calculated in Step 1 to convert the mass of the sample to moles:
n (moles) = mass (g) / molar mass (g/mol).
Step 3: Calculate the number of carbon atoms.
The molecular formula C8H10N4O2 indicates that there are 8 carbon atoms per molecule of the compound. Since the compound's molar mass is given per mole, we can directly calculate the number of moles of carbon atoms using the mole ratio of carbon atoms to the compound.
Number of moles of carbon atoms = n (moles) * 8
Step 4: Determine the number of carbon atoms.
Using Avogadro's number, which is approximately 6.022 x 10^23 atoms per mole, we can calculate the number of carbon atoms:
Number of carbon atoms = number of moles of carbon atoms * Avogadro's number.
Finally, plug in the values from the previous steps into the formula to get the answer.