The mass of 50 carbon atoms is [tex]\bold{99.07\;\times\;10^{-23}}[/tex] amu, and the mass of 50 hydrogen atoms is [tex]\bold{8.30\;\times\;10^{-23}}[/tex] amu.
Computation for the mass of carbon and hydrogen atom
The mass of an atom can be given by the Avogadro law.
According to the Avogadro law, 1 mole of an element is composed of [tex]\rm 6.023\;\times\;10^{23}[/tex] atoms. The molar mass of an element is the mass of a mole of substance.
Thus, the mass of atoms can be given by:
[tex]\rm 6.023\;\times\;10^2^3\;atoms=molar\;mass[/tex]
- Mass of 50 carbon atoms can be given as:
Molar mass of carbon is 12 amu.
[tex]\rm 6.023\;\times\;10^2^3\;Carbon\;atoms=12.01\;amu\\\\50\;Carbon\;atoms=\dfrac{12.01}{6.023\;\times\;10^2^3}\;\times\;50\;amu\\\\50\;Carbon\;atoms=99.70\;\times\;10^{-23}\;amu[/tex]
The mass of 50 carbon atoms is [tex]99.70\;\times\;10^{-23}[/tex] amu.
- The mass of 50 hydrogen atoms is given by:
Molar mass of hydrogen is 1 amu.
[tex]\rm 6.023\;\times\;10^2^3\;Hydrogen\;atoms=1\;amu\\\\50\;Hydrogen\;atoms=\dfrac{1}{6.023\;\times\;10^2^3}\;\times\;50\;amu\\\\50\;Hydrogen\;atoms=8.30\;\times\;10^{-23}\;amu[/tex]
The mass of 50 hydrogen atoms is [tex]8.30\;\times\;10^{-23}[/tex] amu.
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