Respuesta :
Answer:
For a: The molar mass of morphine is 285 g/mol
For b: The fraction of carbon atoms in morphine is 0.425
Explanation:
We are given a chemical substance having chemical formula [tex]C_{17}H_{19}NO_3[/tex]
- For a:
Molar mass is the sum of the mass of all the atoms each multiplied its atomic masses that are present in the molecular formula of a compound. It is expressed in g/mol.
We know that:
Atomic mass of carbon = 12 g/mol
Atomic mass of hydrogen = 1 g/mol
Atomic mass of nitrogen = 14 g/mol
Atomic mass of oxygen = 16 g/mol
Molar mass of morphine,
Hence, the molar mass of morphine is 285 g/mol
- For b:
1 mole of morphine contains 17 moles of carbon, 19 moles of hydrogen, 1 mole of nitrogen and 3 moles of oxygen
Total moles of atoms = [17 + 19 + 1 + 3] = 40 moles
1 mole of a compound contains [tex]6.022\times 10^{23}[/tex] number of particles
To calculate the fraction of carbon atoms in morphine, we use the equation:
[tex]\text{Fraction of carbon atoms}=\frac{\text{Number of carbon atoms}}{\text{Total number of atoms}}[/tex]
Number of carbon atoms = [tex]17\times 6.022\times 10^{23}[/tex]
Total number of atoms = [tex]40\times 6.022\times 10^{23}[/tex]
Putting values in above equation, we get:
[tex]\text{Fraction of carbon atoms}=\frac{17\times 6.022\times 10^{23}}{40\times 6.022\times 10^{23}}\\\\\text{Fraction of carbon atoms}=0.425[/tex]
Hence, the fraction of carbon atoms in morphine is 0.425
