Answer:
D. The final concentration of NO3– is 0.821 M.
Explanation:
Considering:
Or,
Given :
For potassium iodide :
Molarity = 1.60 M
Volume = 300.0 mL
The conversion of mL to L is shown below:
1 mL = 10⁻³ L
Thus, volume = 300.0×10⁻³ L
Thus, moles of potassium iodide :
<u>Moles of potassium iodide = 0.48 moles
</u>
For lead(II) nitrate :
Molarity = 1.20 M
Volume = 285 mL
The conversion of mL to L is shown below:
1 mL = 10⁻³ L
Thus, volume = 285×10⁻³ L
Thus, moles of lead(II) nitrate :
<u>Moles of lead(II) nitrate = 0.342 moles
</u>
According to the given reaction:
2 moles of potassium iodide react with 1 mole of lead(II) nitrate
1 mole of potassium iodide react with 1/2 mole of lead(II) nitrate
0.48 moles potassium iodide react with 0.48/2 mole of lead(II) nitrate
Moles of lead(II) nitrate = 0.24 moles
Available moles of lead(II) nitrate = 0.342 moles
<u>Limiting reagent is the one which is present in small amount. Thus, potassium iodide is limiting reagent.</u>
Also, consumed lead(II) nitrate = 0.24 moles (lead ions precipitate with iodide ions)
Left over moles = 0.342 - 0.24 moles = 0.102 moles
Total volume = 300 + 285 mL = 585 mL = 0.585 L
<u>So, Concentration = 0.102/0.585 M = 1.174 M</u>
<u>Statement A is correct.</u>
The formation of the product is governed by the limiting reagent. So,
2 moles of potassium iodide gives 1 mole of lead(II) iodide
1 mole of potassium iodide gives 1/2 mole of lead(II) iodide
0.48 mole of potassium iodide gives 0.48/2 mole of lead(II) iodide
Mole of lead(II) iodide = 0.24 moles
Molar mass of lead(II) iodide = 461.01 g/mol
<u>Mass of lead(II) chloride = Moles × Molar mass = 0.24 × 461.01 g = 111 g
</u>
<u>Statement B is correct.</u>
Potassium iodide is the limiting reagent. So all the potassium ion is with potassium nitrate . Thus,
2 moles of Potassium iodide on reaction forms 2 moles of potassium ion
0.48 moles of Potassium iodide on reaction forms 0.48 moles of potassium ion
Total volume = 300 + 285 mL = 585 mL = 0.585 L
<u>So, Concentration = 0.48/0.585 M = 0.821 M</u>
<u>Statement C is correct.</u>
Nitrate ions are furnished by lead(II) nitrate
. So,
1 mole of lead(II) nitrate produces 2 moles of nitrate ions
0.342 mole of lead(II) nitrate produces 2*0.342 moles of nitrate ions
Moles of nitrate ions = 0.684 moles
<u>So, Concentration = 0.684/0.585 M = 1.169 M</u>
<u>Statement D is incorrect.</u>