1g silver salt of an organic dibasic acid on heating yields 0.5934 g Ag. If the weight percentage of C in acid is 8 times the weight percentage of hydrogen and one half the weight percentage of oxygen, then determine its molecular formula. `(M_(AgNO_(3))= 108)`

Options

A. `C_(4)H_(6)O_(6)`
B. `C_(3)H_(4)O_(6)`
C. `C_(4)H_(3)O_(3)`
D. `C_(4)H_(6)O_(3)`

Answer

A

Explanation

`RH_(2) to Rag_(2) to Ag`
Apply principle of atom conservation to Ag,
`1.00/M_("RA"g_(2)) xx 2 = (0.534 g)/108 xx 1`
`M_(RH_(2)) = 364 - 216 + 2 = 150 g "mol"^(-1)`

Empirical formula `=C_(2)H_(3)O_(3)`
Empirical formula mass = 75 per EFM
`therefore n = ("Molecular mass")/("Empirical formula mass") = 150/75=2`
The molecular formula is `C_(4)H_(6)O_(6)`