Mass is the multiplication product of moles and the molar mass. The mass of the lead chloride formed from 1.50 M potassium chloride is 10.42 gm.
The molarity of the solution is the ratio of the moles to the volume of the solution.
The double displacement reaction is shown as,
[tex]\rm 2KCl + Pb(NO_{3})_{2} \rightarrow PbCl_{2} + 2KNO_{3}[/tex]
From the reaction, it can be said that the stoichiometry ratio of potassium chloride and lead chloride is 2:1.
Given,
Molarity of potassium chloride = 1.50 M
1 L of potassium chloride = 1.50 moles
So, 50.0 ml will have,
[tex]\dfrac{1.50 \times 50}{1000} = 0.075\;\rm moles[/tex]
Moles of lead chloride formed will be:
[tex]\begin{aligned} &= \dfrac{1}{2} \times \text{number of KCl moles reacted}\\\\&= \dfrac{0.075}{2}\\\\&= 0.0375\;\rm moles\end{aligned}[/tex]
Given,
Moles of lead chloride = 0.0375 moles
Molar mass of lead chloride = 278 g/mol
Mass of lead chloride is calculated as:
[tex]278 \times 0.0375 = 10.42 \;\rm gm[/tex]
Therefore, 10.42 gm of lead chloride is formed.
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