9. In the reaction of sodium hydroxide with chlorine gas, sodium chloride, sodium hypochlorite, and water a
reproduced. If 48.9g of chlorine gas is bubbled into a solution containing 54.2 g NaOH, how many grams
of NaClO can eventually be produced?
2 NaOH +Cl, = NaCl + NaClO + H,O

Respuesta :

Answer: 51.4 g of NaClO will be produced.

Explanation:

To calculate the moles :

[tex]\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}[/tex]    

[tex]\text{Moles of} Cl_2=\frac{48.9g}{71g/mol}=0.69moles[/tex]

[tex]\text{Moles of} NaOH=\frac{54.2g}{40g/mol}=1.4moles[/tex]

[tex]2NaOH+Cl_2\rightarrow NaCl+NaClO+H_2O[/tex]

According to stoichiometry :

1 moles of [tex]Cl_2[/tex] require = 2 moles of [tex]NaOH[/tex]

Thus 0.69 moles of [tex]Cl_2[/tex] will require=[tex]\frac{2}{1}\times 0.69=1.38moles[/tex]  of [tex]NaOH[/tex]

Thus [tex]Cl_2[/tex] is the limiting reagent as it limits the formation of product and [tex]NaOH[/tex] is the excess reagent.

As 1 mole of [tex]Cl_2[/tex] give = 1 mole of [tex]NaClO[/tex]

Thus 0.69 moles of [tex]Cl_2[/tex] give =[tex]\frac{1}{1}\times 0.69=0.69moles[/tex]  of [tex]NaClO[/tex]

Mass of [tex]NaClO=moles\times {\text {Molar mass}}=0.69moles\times 74.5g/mol=51.4g[/tex]

Thus 51.4 g of NaClO will be produced