One million atoms of a particular element have a mass of 1.99 x 10 ^-17 grams.

  • How many moles of this element are there?
  • What is the molar mass of this element?
  • What is the identity of this element?

Verified Answer :

  • How many moles of this element are there?
    1000000 atoms ( 1 mol / 6.022x10^23 atoms ) = 1.66 x 10^-18 mol of the element

    - What is the molar mass of this element?
    Molar mass =  1.99 x 10 ^-17 grams / 1.66 x 10^-18 mol = 11.98 g/mol

    - What is the identity of this element?
    The identity most likely is closest to carbon which has a molar mass of 12.01 g/mol.

Answer:

Moles of this element =\(1.660\times 10^{-18}\) moles

The molar mass of this element  is 12 g/mol.

Carbon is the identity of this element.

Explanation:

Number of atom = 1,000,000

Number of atoms = \(moles \times N_A\)

\(1,000,000 =moles\times 6.022\times 10^{23}\)

\(moles=1.660\times 10^{-18}\)

Moles of this element =\(1.660\times 10^{-18}\) moles

If \(1.660\times 10^{-18}\) moles weighs =  \(1.99 \times 10^{-17} g\)

Then mass of 1 mol = \(\frac{1.99 \times 10 ^{-17} g}{1.660\times 10^{-18}}=11.98 g\approx 12 g\)

The molar mass of this element  is 12 g/mol.

Carbon is the identity of this element.