A 40.0 gram-sample of methanol, CH4O is mixed with 60.0 grams of ethanol, C2H60. What is the mole fraction of the methanol?
Solution.
m(CH4O)=40.0g;m(CH_4O)=40.0g;m(CH4O)=40.0g;
m(C2H6O)=60.0g;m(C_2H_6O)=60.0g;m(C2H6O)=60.0g;
M(CH4O)=32g/mol;M(CH_4O)=32 g/mol;M(CH4O)=32g/mol;
M(C2H6O)=46g/mol;M(C_2H_6O)=46 g/mol;M(C2H6O)=46g/mol;
ν(CH4O)=40.032=1.25mol;\nu(CH_4O)=\dfrac{40.0}{32}=1.25mol;ν(CH4O)=3240.0=1.25mol;
ν(C2H6O)=60.046=1.3mol;\nu(C_2H_6O)=\dfrac{60.0}{46}=1.3mol;ν(C2H6O)=4660.0=1.3mol;
Xi=1.251.25+1.3=0.49;X_i=\dfrac{1.25}{1.25+1.3}=0.49;Xi=1.25+1.31.25=0.49;
Answer: Xi=0.49.X_i=0.49.Xi=0.49.
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