Some Basic Concepts of Chemistry - Result Question 47

####47. How many moles of lead (II) chloride will be formed from a reaction between $6.5 g$ of $PbO$ and $3.2 g$ of $HCl$ ?

(a) 0.044

(b) 0.333

(c) 0.011

(d) 0.029

[2008]

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Solution:

  1. (d) Writing the equation for the reaction, we get

$ \begin{aligned} & PbO+2 HCl \longrightarrow PbCl_2+H_2 O \\ & 207+16 \quad 2 \times 36.5 \quad 207+71 \\ & =223 g \quad=73 g \quad=278 g \end{aligned} $

From this equation we find $223 g$ of $PbO$ reacts with $73 g$ of $HCl$ to form $278 g$ of $PbCl_2$.

If we carry out the reaction between $3.2 g HCl$ and $6.5 g PbO$.

Amount of $PbO$ that reacts with $3.2 g HCl$ $=\frac{223}{73} \times 3.2=9.77 g$.

Since amount of $PbO$ present is only $6.5 g$ so $PbO$ is the limiting reagent.

Amount of $PbCl_2$ formed by $6.5 g$ of $PbO$

$=\frac{278}{223} \times 6.5 g$

Number of moles of $PbCl_2$ formed

$=\frac{278}{223} \times \frac{6.5}{278}$ moles $=0.029$ moles.



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