In the given reaction, $\mathrm{X}+\mathrm{Y}+3 \mathrm{Z} \rightleftarrows \mathrm{XYZ}_{3}$ if one mole of each of X and Y with 0.05 mol of Z gives compound $\mathrm{XYZ}_{3}$. (Given: Atomic masses of $\mathrm{X}, \mathrm{Y}$ and Z are 10, 20 and 30 amu, respectively). The yield of $\mathrm{XYZ}_{3}$ is ______ g. (Nearest integer)

JEE Main · 2022 · 28 Jul 2022 · Shift 1 · Some Basic Concepts of Chemistry

In the given reaction,

X + Y + 3 Z ⇄ XYZ_{3}

if one mole of each of X and Y with 0.05 mol of Z gives compound

XYZ_{3}

. (Given: Atomic masses of

X, Y

and Z are 10, 20 and 30 amu, respectively).
The yield of

XYZ_{3}

is ______ g.
(Nearest integer)

Answer: 2

Z is the limiting reagent since we need 3 moles of Z per mole of product but only have 0.05 mol. Moles of

XYZ_{3}

formed =

\frac{0.05}{3}

mol. Molar mass of

XYZ_{3}

= 10 + 20 + 3(30) = 120 g/mol. Mass =

\frac{0.05}{3} \times 120 = 2

JEE Main · 2022 · 28 Jul 2022 · Shift 1 · Integer answer