Question

In the given reaction,

$\begin{array}{l}X+Y+3Z\rightleftharpoons XYZ_3\end{array}$

if one mole of each of X and Y with 0.05 mol of Z gives compound XYZ3. (Given : Atomic masses of X, Y and Z are 10, 20 and 30 amu, respectively.) the yield of XYZ3 is _______ g. (Nearest integer)

Answer 1

$\begin{array}{l}\underset{n_{\text{moles}}=1}{X}+\underset{1}{Y}+\underset{0.05}{3Z}\rightleftharpoons xyz_3\end{array}$
Limiting reagent is
$\begin{array}{l}Z=\frac{0.05}{3}=0.016\end{array}$
3 moles of Z → 1 mole of XYZ3
$\begin{array}{l}0.05 \text{ mole of }Z\rightarrow\frac{1}{3}\times 0.05 \text{ moles of } XYZ_3 \end{array}$
M.wt. of XYZ3 = 10 + 20 +90
= 120 amu
$\begin{array}{l}\text{Wt. of} XYZ_3 = \frac{.05}{3}\times 120= 2 g \end{array}$