Question

Manganese (Mn) is a transition element essential for

Answer 1

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  = $\frac{number of particles}{6.02 x 10^{23} }$

    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 = $\frac{number of particles}{6.02 x 10^{23} }$

                       Number of moles of Mn = $\frac{3.22 x 10^{20} }{6.02 x 10^{23} }$   = 0.53 x $10^{-3}$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

                               = $0.53 x 10^{-3}$ x  55

                                = 0.029g

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