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Equivalent Mass

The average m...

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 $C H_{4} = 16 G / M O L$
" " " $C_{2} H_{6} = 28 g / m o l$
When they are present in the ratio a:b , their average molecular mass = $\frac{a \times 16 + b \times 28}{a + b} = 20 g / m o l$ (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= $\frac{1 \times 16 + 2 \times 28}{1 + 2} = \frac{16 + 56}{3} = 24 g / m o l$

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