# 3.65 g of HCl is dissolved in 16.2 g of water, then the correct statement is / are

1. A
Mole fraction of  $\text{HC}l=0.1$
2. B
Mole fraction of ${\text{H}}_{\text{2}}\text{O}=0.9$
3. C
Number of moles of  $\text{HC}l=0.1$
4. D
Number of moles of ${\text{H}}_{\text{2}}\text{O}=0.9$

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### Solution:

Amount of HCl, $w=\text{\hspace{0.17em}}3.65\text{\hspace{0.17em}}g$

Amount of water ,$\text{W}\text{\hspace{0.17em}}\text{=}\text{\hspace{0.17em}}\text{16}\text{.2}\text{\hspace{0.17em}}\text{g}$

Molar mass of HCl (MW) = 36.5 g/mol

Molar mass of ${\text{H}}_{\text{2}}\text{O}$ $=18.02\text{\hspace{0.17em}}\text{g}/\text{mol}$

i)  Number of moles of HCl will find as follows:

ii) Number of moles of${\text{H}}_{\text{2}}\text{O}$ :

iii) Mole fraction of HCl is calculated as follows:

${\text{X}}_{HCl}=\frac{0.1}{0.1+0.9}=0.1$

iv) Mole fraction of ${\text{H}}_{\text{2}}\text{O}$ :

${\text{X}}_{{\text{H}}_{\text{2}}\text{O}}=\frac{0.90}{0.90+0.10}=0.90$

Hence, for given question all four answers are correct.

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