Respuesta :
To solve this problem, we must take into account Avogadro's number. Avogadro's number tells us that in one mole of any substance there are 6.022x10^23 atoms. Applying this relationship we have that the moles of potassium (K) are:
[tex]\begin{gathered} molK=givenatomsK\times\frac{1molK}{6.022\times10^{23}atoms} \\ \end{gathered}[/tex][tex]\begin{gathered} molK=3.4\times10^{23}atomsK\times\frac{1molK}{6.022\times10^{23}atoms} \\ molK=0.6molK \end{gathered}[/tex]Now, to go from moles to grams, we must multiply the moles by the molar mass of potassium. The molar mass of potassium is 39.1g/mol. So, the grams of potassium will be:
[tex]gK=givenmolK\times\frac{MolarMass,gK}{1molK}[/tex][tex]\begin{gathered} gK=0.6molK\times\frac{39.1gK}{1molK} \\ gK=22.1gK \end{gathered}[/tex]Answer: In 3.4x10^23 atoms of potassium there are 22.1 grams
