Respuesta :
Answer:
Moles of BCl₃ needed = 0.089 mol
Explanation:
Given data:
Moles of BCl₃ needed = ?
Mass of HCl produced = 10.0 g
Solution:
Chemical equation:
BCl₃ + 3H₂O → 3HCl + B(OH)₃
Number of moles of HCl:
Number of moles = mass/molar mass
Number of moles = 10.0 g/ 36.46 g/mol
Number of moles = 0.27 mol
Now we will compare the moles of HCl with BCl₃.
HCl : BCl₃
3 : 1
0.27 : 1/3×0.27 = 0.089 mol
The number of moles of BCl₃ needed is 0.0914 mole
From the question,
We are to determine the number of moles of BCl₃ needed to produce 10.0 g of HCl
From the balanced chemical equation,
BCl₃(g) + 3H₂O(l) → 3HCl(aq) + B(OH)₃(aq)
This means,
1 mole of BCl₃ reacts with 3 moles of H₂O to produce 3 moles of HCl and 1 mole of B(OH)₃
Now, we will determine the number of moles of HCl required to be produced
Mass of HCl = 10.0g
Using the formula
[tex]Number\ of\ moles = \frac{Mass}{Molar\ mass}[/tex]
Molar mass of HCl = 36.46 g/mol
∴ Number of moles of HCl required = [tex]\frac{10.0}{36.46}[/tex]
Number of moles of HCl required = 0.27427 mole
Since,
1 mole of BCl₃ are needed to produce 3 moles of HCl
Then,
[tex]\frac{0.27427}{3}[/tex] mole of BCl₃ would be needed to produce 0.27427 mole of HCl
[tex]\frac{0.27427}{3} = 0.09142[/tex]
∴ 0.0914 mole of BCl₃ would be needed to produce 10.0 g of HCl
Hence, the number of moles of BCl₃ needed is 0.0914 mole
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