Answer to Question #95896 in General Chemistry for Maya

Question #95896
Calculate the ratio of effusion rates of C12 to F2
1
Expert's answer
2019-10-07T06:42:50-0400

Note: I assume you meant Cl2C{l_2} , not C12C12 .


From the kinetic theory we know that effusion rate of component ii is proportional to it's molar mass (it's known as Graham's Law)


Qi1Mi{Q_i} \sim \frac{1}{{\sqrt {{M_i}} }}

Thus


QCl2QF2=MF2MCl2=MFMCl=18.998[gmol]35.446[gmol]0.732\frac{{{Q_{C{l_2}}}}}{{{Q_{{F_2}}}}} = \sqrt {\frac{{{M_{{F_2}}}}}{{{M_{C{l_2}}}}}} = \sqrt {\frac{{{M_F}}}{{{M_{Cl}}}}} = \sqrt {\frac{{18.998[\frac{{\text{g}}}{{{\text{mol}}}}]}}{{35.446[\frac{{\text{g}}}{{{\text{mol}}}}]}}} \approx 0.732


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