Question

(a) How many grams are there in 1 amu of a material? (b) Mole is taken in units of gram-mole. On this basis, how many atoms are there in a pound-mole of a substance?

Answer 1

Answer :

(a) The number of grams in 1 amu is, $1.66\times 10^{-24}grams$

(b) The number of atoms in a pound-mole of a substance is, $2.73\times 10^{26}atoms$

Explanation :

Part (a) :

As, we know that:

1 gram = $6.022\times 10^{23}$ amu

Now we have to determine the number of grams in 1 amu.

As, $6.022\times 10^{23}$ amu = 1 gram

So, 1 amu = $\frac{1amu}{6.022\times 10^{23}amu}\times 1gram=1.66\times 10^{-24}grams$

Thus, the number of grams in 1 amu is, $1.66\times 10^{-24}grams$

Part (b) :

As we know that the value of gram-mole is same in pound-mole.

Now we have to determine the number of atoms in a pound-mole of a substance.

Number of atoms = Pound-mole × Avogadro's number

As, 1 Pound-mole = 453.6 gram-mol

Avogadro's number = $6.022\times 10^{23}atoms/g.mol$

Number of atoms = 1 pound-mol × $6.022\times 10^{23}atoms/g.mol$

Number of atoms = 453.6 gram-mol × $6.022\times 10^{23}atoms/g.mol$

Number of atoms = $2.73\times 10^{26}atoms$

Thus, the number of atoms in a pound-mole of a substance is, $2.73\times 10^{26}atoms$

Answer 2

(a) The number of grams in 1 amu is $1.66*10^{-24} grams$

(b) The number of atoms in a pound-mole of a substance is $2.73*10^{26}atoms$

The Avogadro constant is the proportionality factor that relates the number of constituent particles in a sample with the amount of substance in that sample.

• Solving for Part (a):

It is known that:

$1 gram = 6.022*10^{23}amu$

Now we have to determine the number of grams in 1 amu.

So, $1 amu=\frac{1amu}{6.022*10^{23}amu} *1gram=1.66*10^{-24}grams$

Thus, the number of grams in 1 amu is  $1.66*10^{-24} grams$

• Solving for Part (b) :

It is known that the value of gram-mole is same in pound-mole.

• For calculation of the number of atoms in a pound-mole of a substance.

Number of atoms = Pound-mole * Avogadro's number

As, 1 Pound-mole = 453.6 gram-mol

Avogadro's number = $6.022*10^{23}$

Number of atoms = $1 pound-mol *6.022*10^{23}atoms/ g.mol$

Number of atoms = $453.6 gram.mol *6.022*10^{23}atoms/g.mol$

Number of atoms = $2.73*10^{26}atoms$

Thus, the number of atoms in a pound-mole of a substance is  $2.73*10^{26}atoms$.

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