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Manganese (Mn) is a transition element essential for
the growth of bones. What is the mass (g) of 3.22 x 1020 Mn atoms, the number
found in 1 kg of bone? Include a road map that shows how you planned your
solution​

Respuesta :

quasarJose

Given parameters:

Number of atoms of Mn = 3.22 x 10²²atoms

Mass of the bone = 1kg

Unknown:

Mass of Mn = ?

To solve this problem:

Road map

  • Understand the relationship between number of moles, mass, molecular mass and number of particles.
  • Solve for the number of moles using the number of atoms given.
  • Using the number of moles find the mass of the unknown.

  • Understand the relationship between number of moles, mass, molecular mass and number of particles.

The number of moles is the amount of a substance that contains the Avogadro's number of particles 6.02 x 10²³

Molecular mass is the mass in grams of one mole of the substance.

Number of particles are elementary particles such as atoms, molecules, formula units, ions, electrons, protons, neutrons e.t.c

     Number of moles  = [tex]\frac{number of particles}{6.02 x 10^{23} }[/tex]

    Mass  = number of moles x molecular mass

  • Solve for the number of moles using the number of atoms given.

Input parameters,

  number of particles = Number of moles of Mn = [tex]\frac{number of particles}{6.02 x 10^{23} }[/tex]

                       Number of moles of Mn = [tex]\frac{3.22 x 10^{20} }{6.02 x 10^{23} }[/tex]   = 0.53 x [tex]10^{-3}[/tex]moles

  • Using the number of moles find the mass of the unknown.

To find the unknown mass, we need to know the molecular mass of Mn. This value is found on the periodic table and it is 55g/mol

   So, mass of Mn  = number of moles of Mn x molecular mass of Mn

                               = [tex]0.53 x 10^{-3}[/tex] x  55

                                = 0.029g

Mass of Mn contain in 1kg of bone is 0.029g

       

The mass (g) that should be found in 1 kg of bone is 0.029g.

Road map

Here we understand the relationship between a number of moles, mass, molecular mass, and a number of particles. Now Solve for the number of moles by using the number of atoms given. And, Using the number of moles we determine the mass of the unknown. Finally, understand the relationship between the number of moles, mass, molecular mass, and a number of particles.

Relationship of no of moles, molecular mass, and no of particles:

The number of moles should be the amount of a substance that comprise of the Avogadro's number of particles 6.02 x 10²³. Molecular mass represent the mass in grams of one mole of the substance. And, the number of particles should be  elementary particles like atoms, molecules, formula units,etc.

We know that

   Mass  = number of moles x molecular mass

So,

The number of moles should be [tex]= 3.22x10^{23} \div 6.02x10^{23}[/tex]

= [tex]0.53 \times 10^{-3}[/tex] moles

Now

Mass of mn should be

= number of moles of Mn x molecular mass of Mn

= [tex]0.53 \times 10^{-3} \times 55[/tex]

=  0.029g.

Learn more about mass here:https://brainly.com/question/20267690

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