If 5 moles of BaCl 2 is mixed with 2 moles of Na 3 PO 4 , the maximum number of moles of Ba 3 ( PO 4 ) 2 formed is ______ (Nearest integer) [2023]

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Solution

Q.
If 5 moles of ${BaCl}_{2}$ is mixed with 2 moles of ${Na}_{3} {PO}_{4}$ , the maximum number of moles of ${Ba}_{3} {({PO}_{4})}_{2}$ formed is ______ (Nearest integer) [2023]

Ans.
(1)

$\begin{matrix} 3 {BaCl}_{2} & + & 2 {Na}_{3} {PO}_{4} & \to & {Ba}_{3} {({PO}_{4})}_{2} & + & 6 NaCl \\ Initial moles & 5 & 2 \end{matrix}$

$L.R.$ $\frac{5}{3} = 1.67$ $\frac{2}{2} = 1 (L.R. = {Na}_{3} {PO}_{4})$

$\frac{{Moles of Na}_{3} {PO}_{4}}{2} = \frac{{Moles of Ba}_{3} {({PO}_{4})}_{2}}{1}$

${Maximum number of moles of Ba}_{3} {({PO}_{4})}_{2} = \frac{2}{2} = 1 mole$

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