What is the mole fraction of HCl in an aqueous solution that contains 44.2g HCl and 88.6g H20?
Moles of HCL xHCL=x_{HCL}=xHCL=Mass of HCLMolar Mass=44.236.5=1.21\dfrac{\text{Mass of HCL}}{\text{Molar Mass}}=\dfrac{44.2}{36.5}=1.21Molar MassMass of HCL=36.544.2=1.21
Moles of H2O xH2O=Mass of H2OMolar mass=88.618=4.92H_2O \text{ }x_{H_2O}=\dfrac{\text{Mass of } H_2O}{\text{Molar mass}}=\dfrac{88.6}{18}=4.92H2O xH2O=Molar massMass of H2O=1888.6=4.92
Mole fraction of HCL =xHCLxHCL+xH2O=1.211.21+4.92=1.216.132=0.1973=\dfrac{x_{HCL}}{x_{HCL}+x_{H_2O}}=\dfrac{1.21}{1.21+4.92}=\dfrac{1.21}{6.132}=0.1973=xHCL+xH2OxHCL=1.21+4.921.21=6.1321.21=0.1973
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