Respuesta :
Answer : The mass of [tex]PbI_2[/tex] precipitate produced will be, 9.681 grams.
Explanation : Given,
Molarity of NaI = 0.210 M
Volume of solution = 0.2 L
Molar mass of [tex]PbI_2[/tex] = 461.01 g/mole
First we have to calculate the moles of [tex]NaI[/tex].
[tex]\text{Moles of }NaI=\text{Molarity of }NaI\times \text{Volume of solution}=0.210M\times 0.2L=0.042moles[/tex]
Now we have to calculate the moles of [tex]PbI_2[/tex].
The balanced chemical reaction is,
[tex]Pb(ClO_3)_2(aq)+2NaI(aq)\rightarrow PbI_2(s)+2NaClO_3(aq)[/tex]
From the balanced reaction we conclude that
As, 2 moles of [tex]NaI[/tex] react to give 1 mole of [tex]PbI_2[/tex]
So, 0.042 moles of [tex]NaI[/tex] react to give [tex]\frac{0.042}{2}=0.021[/tex] moles of [tex]PbI_2[/tex]
Now we have to calculate the mass of [tex]PbI_2[/tex].
[tex]\text{Mass of }PbI_2=\text{Moles of }PbI_2\times \text{Molar mass of }PbI_2[/tex]
[tex]\text{Mass of }PbI_2=(0.021mole)\times (461.01g/mole)=9.681g[/tex]
Therefore, the mass of [tex]PbI_2[/tex] precipitate produced will be, 9.681 grams.
The mass of the precipitate (i.e PbI₂) obtained from the reaction between aqueous Pb(ClO₃)₂ and aqueous NaI is 9.681 g
How to determine the mole of NaI
- Volume of NaI = 0.2 L
- Molarity of NaI = 0.21 M
- Mole of NaI =?
Mole = Molarity x Volume
Mole of NaI = 0.21 × 0.2
Mole of NaI = 0.042 mole
How to determine the mole of PbI₂ produced
Balanced equation
Pb(ClO₃)₂(aq) + 2NaI(aq) —> PbI₂(s) + 2NaClO₃(aq)
From the balanced equation above,
2 moles of NaI reacted to produce 1 mole of PbI₂
Therefore,
0.042 mole of NaI will react to produce = 0.042 / 2 = 0.021 mole of PbI₂
How to determine the mass of PbI₂
- Mole of PbI₂ = 0.021 mole
- Molar mass of PbI₂ = 207 + (127×2) = 461 g/mol
- Mass of PbI₂ =?
Mass = mole × molar mass
Mass of PbI₂ = 0.021 × 461
Mass of PbI₂ = 9.681 g
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