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A diabasic acid containing C,H and O was...

A diabasic acid containing C,H and O was found to contain C=26.7% and H=2.2%. The vapour density of its dimethyl ester was found to bc 73. The molecular formula of the acid is

A

`CH_(2)O_(2)`

B

`C_(2)H_(2)O_(4)`

C

`C_(3)H_(3)O_(4)`

D

`C_(2)H_(4)O_(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
`{:(C=26.7%,H=2.2%,O=71.1%),(C=(26.7)/(12),H=(2.2)/(1),O=(71.1)/(16)),(=2.22,=2.2,=4.44):}`
Empirical formula = `CHO_(2)`
Empirical formula wt = 45
Molecular weight = `2xxVD`
`=2xxVD=2xx73=146`
(mol wt. of diethyl ester)
Molecular weight of acid = `146-58+2=90`
n = 2 so molecular formula = `(CHO_(2))n`
`=(CHO_(2))_(2)=C_(2)H_(2)O_(4)`
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