Calculate the average atomic mass of carbon if 98.90% of the atoms are C-12 (12.000000 amu) and 1.100% are C-13 atoms (13.003354 amu). Give your answer to the correct number of significant figures.
Answer is: the average atomic mass of carbon is 12.011 amu.
m(¹²C) = 12.00 amu; the average atomic mass of carbon-12.
m(¹³C) = 13.003354 amu; the average atomic mass of carbon-13.
ω(¹²C) = 98.90% ÷ 100% = 0.989; fractional abudance of carbon-12.
ω(¹³C) = 1.100% ÷ 100% = 0.011; fractional abudance of carbon-13.
m(C) = m(¹²C) · ω(¹²C) + m(¹³C) · ω(¹³C).
m(C) = 12.0 amu · 0.989 + 13.003354 amu · 0.0110.
m(C) = 12.011 amu; average atomic mass of carbon.
The unified atomic mass unit (amu) is a standard unit of atom