To solve this problem, let's write out the equation of reaction
[tex]Li_2O + H_2O \to 2LiOH[/tex]
The pH of a solution indicates it's level of acidity. But in this question, lithium oxide dissolves in water to produce lithium hydroxide.
We can calculate the acidity of the solution by;
The numbers of moles is
[tex]n = \frac{mass}{molar mass}\\n = \frac{2.6}{30}\\n = 0.086 moles[/tex]
1 mole of Li2O produce 2 moles LiOH
0.086 moles of H2O will give
[tex]2 * 0.086 moles = 0.173 moles of LiOH[/tex]
The molarity of LiOH
[tex]n = \frac{moles}{volume} = \frac{0.173}{1.70} = 0.102M[/tex]
Since we have the pOH of the solution, let's calculate the pH of the solution
[tex]pH + pOH = 14\\pH = 14 - pOH\\pOH = 0.99\\pH = 14 - 0.99 = 13.009[/tex]
The pH of the solution is equal to 13.0
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