Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

there are 2.5 moles of hydrogen in a sample of aluminum acetate, al(c₂h…

Question

there are 2.5 moles of hydrogen in a sample of aluminum acetate, al(c₂h₃o₂)₃. how many moles of aluminum acetate are in the sample? 21.67 moles al(c₂h₃o₂)₃ 46.54 moles al(c₂h₃o₂)₃ 0.28 moles al(c₂h₃o₂)₃ 4.63 moles al(c₂h₃o₂)₃

Explanation:

Step1: Determine H moles in 1 mole of $Al(C_2H_3O_2)_3$

In $Al(C_2H_3O_2)_3$, each acetate ion ($C_2H_3O_2^-$) has 3 H atoms, and there are 3 acetate ions. So total H moles per mole of $Al(C_2H_3O_2)_3$: $3\times3 = 9$ moles of H per 1 mole of $Al(C_2H_3O_2)_3$.

Step2: Calculate moles of $Al(C_2H_3O_2)_3$

Let $x$ be moles of $Al(C_2H_3O_2)_3$. Moles of H = $9x$. Given moles of H = 2.5, so $9x = 2.5$. Solve for $x$: $x=\frac{2.5}{9}\approx0.28$ moles.

Answer:

0.28 moles $Al(C_2H_3O_2)_3$