Respuesta :
Given the mass of [tex]Al_{2}(S_{2}O_{3})_{3}[/tex]=25.6 g
The molar mass of [tex]Al_{2}(S_{2}O_{3})_{3}[/tex]=390.35g/mol
Converting mass of [tex]Al_{2}(S_{2}O_{3})_{3}[/tex]to moles:
[tex]25.6 g Al_{2}(S_{2}O_{3})_{3}*\frac{1molAl_{2}(S_{2}O_{3}}{390.35 gAl_{2}(S_{2}O_{3}} =0.0656molAl_{2}(S_{2}O_{3}[/tex]
Converting mol [tex]Al_{2}(S_{2}O_{3})_{3}[/tex]to mol S:
[tex]0.0656mol Al_{2}(S_{2}O_{3})_{3}*\frac{6molS}{1mol Al_{2}(S_{2}O_{3})_{3}}=0.3936 molS[/tex]
Converting mol S to atoms of S using Avogadro's number:
1 mol = [tex]6.022*10^{23}atoms[/tex]
[tex]0.3936mol S *\frac{6.022*10^{23}atoms S}{1 mol S}=2.37*10^{23} S atoms[/tex]
Sulfur is a chemical element with symbol S. It is found in the in the group 16. It has atomic number 16 and atomic mass as 32 units. In the compound [tex]\text{Al}_2(\text{SO}_3)_3[/tex] there are 2.37 x [tex]10^{23}[/tex] atoms of sulfur are present.
Given that,
- Mass of [tex]\text{Al}_2(\text{SO}_3)_3[/tex] = 25.6 g
- Molar mass of [tex]\text{Al}_2(\text{SO}_3)_3[/tex] = 390.35 g/mol
- According to the formula of number of moles:
[tex]\begin{aligned}\text{n}&=\frac{\text{mass}}{\text{molar mass}}\end{aligned}[/tex]
Now, converting mass of [tex]\text{Al}_2(\text{SO}_3)_3[/tex] into moles, we get:
- [tex]\begin{aligned}\25.6\;\text{g}[\text{Al}_2(\text{S}_2\text{O}_3)]\times\frac{1\text{mol\;Al}_2\text{S}_2\text{O}_3}{390.35\;\text{g}\;\text{Al}_2(\text{S}_2\text{O}_3)}&=0.0656\;\text{mol}\;\text{Al}_2(\text{S}_2\text{O}_3)\end{aligned}[/tex]
Similarly, for sulphur:
- [tex]\begin{aligned}\0.0656\;\text{mol}\;[\text{Al}_2(\text{S}_2\text{O}_3)_3]\times\frac{6\;\text{mol\;S}}{1\;\text{mol}\;\text{Al}_2(\text{S}_2\text{O}_3)_3}&=0.3936\;\text{mol\;S}\end{aligned}[/tex]
From the Avogadro's number, we know that,
- 1 mole = 6.022 [tex]\times 10^{23}[/tex] atoms.
Now, 0.3936 moles of sulphur will have:[tex]\begin{aligned}0.3936\;\text{mol\;S}\times\frac{6.022\times10^{23}\text{atoms\;S}}{1\;\text{mol\;S}}&=2.37\times10^{23}\;\text{S\;atoms}\end{aligned}[/tex]
Therefore, the number of atoms of sulphur in the compound [tex]\text{Al}_2(\text{SO}_3)_3[/tex] is 2.37 [tex]\times 10^{23}[/tex].
To know more about number of moles, refer to the following link:
https://brainly.com/question/13332140?referrer=searchResults
