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Question

The average molar mass of a mixture of CH4 and C2H4 present in the ratio of a:b is found to be 0.20 g / mol, if the ratio were reversed what would be the molar mass of the mixture.

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Solution

Dear student
Molar mass of CH4=16G/MOL
" " " C2H6= 28g/mol
​​​​​​When they are present in the ratio a:b , their average molecular mass =a×16+b×28a+b= 20g/mol (EQUATION 1)
16a+28b = 20(a+b) ; 4a+ 7b= 5(a+b)
a=2b or a:b=2:1
If the ratio is reversed , now the ratio a: b= 1:2
USING EQUATION 1,
Average molar mass=1×16+2×281+2= 16+563= 24g/mol

Regards

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