Respuesta :
Answer :
(a) The number of grams in 1 amu is, [tex]1.66\times 10^{-24}grams[/tex]
(b) The number of atoms in a pound-mole of a substance is, [tex]2.73\times 10^{26}atoms[/tex]
Explanation :
Part (a) :
As, we know that:
1 gram = [tex]6.022\times 10^{23}[/tex] amu
Now we have to determine the number of grams in 1 amu.
As, [tex]6.022\times 10^{23}[/tex] amu = 1 gram
So, 1 amu = [tex]\frac{1amu}{6.022\times 10^{23}amu}\times 1gram=1.66\times 10^{-24}grams[/tex]
Thus, the number of grams in 1 amu is, [tex]1.66\times 10^{-24}grams[/tex]
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 = [tex]6.022\times 10^{23}atoms/g.mol[/tex]
Number of atoms = 1 pound-mol × [tex]6.022\times 10^{23}atoms/g.mol[/tex]
Number of atoms = 453.6 gram-mol × [tex]6.022\times 10^{23}atoms/g.mol[/tex]
Number of atoms = [tex]2.73\times 10^{26}atoms[/tex]
Thus, the number of atoms in a pound-mole of a substance is, [tex]2.73\times 10^{26}atoms[/tex]
(a) The number of grams in 1 amu is [tex]1.66*10^{-24} grams[/tex]
(b) The number of atoms in a pound-mole of a substance is [tex]2.73*10^{26}atoms[/tex]
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:
[tex]1 gram = 6.022*10^{23}amu[/tex]
Now we have to determine the number of grams in 1 amu.
So, [tex]1 amu=\frac{1amu}{6.022*10^{23}amu} *1gram=1.66*10^{-24}grams[/tex]
Thus, the number of grams in 1 amu is [tex]1.66*10^{-24} grams[/tex]
- 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 = [tex]6.022*10^{23}[/tex]
Number of atoms = [tex]1 pound-mol *6.022*10^{23}atoms/ g.mol[/tex]
Number of atoms = [tex]453.6 gram.mol *6.022*10^{23}atoms/g.mol[/tex]
Number of atoms = [tex]2.73*10^{26}atoms[/tex]
Thus, the number of atoms in a pound-mole of a substance is [tex]2.73*10^{26}atoms[/tex].
Find more information about "Avogadro's number" here:
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