Question

25.4g of iodine and $14.2g$ of chlorine are made to react completely to yield a mixture of $ICl$ and $IC{l_3}$. Calculate the number of moles of $ICl$ and $IC{l_3}$ formed.
A. $0.1mole$,$0.1mole$
B. $0.1mole$,$0.2mole$
C. $0.5mole$,$0.5mole$
D. $0.2mole$,$0.2mole$

Answer 1

The molarity of a solution is defined as the moles of solute per litre of the solution. Moles present in the substance can be easily calculated by dividing its mass with molar mass. When the iodine and chlorine molecule reacts, it gives $ICl$ and $IC{l_3}$ respectively.

Complete step by step answer:
The reaction between iodine and chlorine molecule can be written as,
${I_2} + 2C{l_2} \to ICl + IC{l_3}......(1)$
The mass of the iodine molecule is given as $25.4g$ and it is known that the molecular mass of the iodine molecule is $253.80g/mol$. Thus, the mole present in the iodine molecule can be calculated by using the mole formula.
$Mole = \dfrac{{weight}}{{molecular.weight}}$
$Mole = \dfrac{{25.4g}}{{253.80g/mol}}$
$\Rightarrow Mole = 0.1$
Thus, $0.1mol$ is present in$25.4g$ of iodine molecules.
Similarly, the mass of the chlorine molecule is given as $14.2g$ and it is known that the molecular mass of the chlorine molecule is $70.9g/mol$. Thus, the mole present in the chlorine molecule can be calculated by using the mole formula.
$Mole = \dfrac{{14.2g}}{{70.9g/mol}}$
$\Rightarrow Mole = 0.2$
Thus, $0.2mol$ is present in $14.2g$of chlorine.
The mole of $ICl$ and $IC{l_3}$ must be the same since the products are in equal concentration as given in reaction (1)
Here, Thus, each $0.1mol$ of iodine molecule consumes two $0.2mol$ of chlorine molecule to give equal mole concentration of mole of $ICl$ and $IC{l_3}$.
Thus, the mole present in $ICl$ and $IC{l_3}$ is similar to the mole of iodine molecule since each mole of iodine molecule consumes two moles of chlorine molecule and therefore, chlorine concentration is much not considered.
Therefore, the number of moles of $ICl$ and $IC{l_3}$ formed are $0.1mole$, $0.1mole$

So, the correct answer is Option A.

Note: Iodine and its components are now widely used in pharmaceuticals. It also acts as antiseptic and disinfectants. It is also used to make polarizing filters for LCDs. Chlorine is mainly used as a disinfectant in water treatment since it kills bacteria present in the water.