To determine the order of solutes from most soluble to least soluble in water, we need to compare their solubility values given in grams per 100 milliliters at 20°C:
- [tex]$Co \left( NO_3 \right)_2$[/tex]: 121.6 g/100mL
- [tex]$KMnO_4$[/tex]: 6.4 g/100mL
- [tex]$CoCl_2$[/tex]: 48.0 g/100mL
- [tex]$AuCl_3$[/tex]: 70.1 g/100mL
We will arrange these solutes in descending order of their solubility values.
1. [tex]$Co \left( NO_3 \right)_2$[/tex]
- Solubility: 121.6 g/100mL
2. [tex]$AuCl_3$[/tex]
- Solubility: 70.1 g/100mL
3. [tex]$CoCl_2$[/tex]
- Solubility: 48.0 g/100mL
4. [tex]$KMnO_4$[/tex]
- Solubility: 6.4 g/100mL
Therefore, arranging these solutes from most soluble in water to least soluble in water, we get:
Most soluble
[tex]$\square$[/tex] [tex]$Co \left( NO_3 \right)_2$[/tex]
[tex]$\square$[/tex] [tex]$AuCl_3$[/tex]
[tex]$\square$[/tex] [tex]$CoCl_2$[/tex]
[tex]$\square$[/tex] [tex]$KMnO_4$[/tex]
Least soluble