`1.0 g` of a monobasic acid when completely acted upon `Mg` gave `1.301 g` of anhydrous `Mg` salt. Equivalent weight of acid is

Options

A. 35.54
B. 36.54
C. 17.77
D. 18.27

Answer

B

Explanation

`(Ew "of acid")/(Ew "of salt of" Mg) = ("weight of acid")/("Weight of salt")`
`Mg + 2 HCl ("monobasic acid") rarr MgCl_(2) + H_(2)`
Let `Ew` of acid `=Ew "of" H + Ew` of aicd redical
`:. Ew` of salt of `Mg = Ew` of `Mg + Ew` of aicd redical
`:. (Ew "of acid")/(Ew "of" Mg "salt") = ("Weight of aicd")/("Weigh of" Mg "salt")`
`implies (Ew "of" H + Ew "of aicd radical" (E))/(Ew "of" Mg + Ew "of acid radical" (E)) = (1.0)/(1.301)`
`implies (1 + E)/(12 + E) = (1.0)/(1.301)`
`:. E = 35.54`
`:. Ew` of aicd `= Ew` of `H + Ew` of acid radical
`= 1 + 35.54 = 36.54`