Question #110123

What is the mole fraction of NaCl in a solution of 58.5g NaCl in 180mL H2O?


a. 0.10

b. 0.90

c. 0.091

d. 0.20

Expert's answer

molar mass of NaCl= 23+35.5= 58.5 g/mole

and molar mass of H2O= 18 g/mole

so, here given mass of NaCl= 58.5 and mass H2O = 180 g

Now,

Mole of NaCl=n1=massmolarmass=58.558.5=1n_1=\frac{mass}{molar mass}=\frac{58.5}{58.5}=1


mole of H2O=n2=massmolarmass=18018=10n_2=\frac{mass}{molar mass}=\frac{180}{18}=10


mole fraction of NaCl=x1=n1n1+n2=11+10=0.091x_1= \frac{n_1}{n_1+n_2}= \frac{1}{1+10}=0.091


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