Which of the following have equal mass of `Cl^(ɵ)` ions in `1.0 L` of each of the following solution?

Options

A. `5% NaCl` (density `= 1.07 g mL^(-1)`)
B. `5% KCl (d = 1.06 g mL^(-1))`
C. `58.5 g NaCl`
D. `55.5 g BaCl_(2)`

Answer

C, D

Explanation

Use, `M = (% "by weight" xx 10 xx d)/(Mw_(2))`
a. `M = (5 x 10 xx 1.07)/(58.5) = 0.91 M (Cl^(ɵ) = 0.91 M = 0.91 xx 35.5 = 32.56 g)`
b. `M = (5 xx 10 xx 1.06)/(74.5) = 0.77 M (Cl^(ɵ) = 0.77 M = 0.77 xx 35.5 = 25.5 g)`
c. `M = (W_(2) xx 1000)/(Mw_(2) xx V_(sol)("in" mL))`
`= (58.5 xx 1000)/(58.5 xx 1000) = 1 M`
`Cl^(ɵ) = 1 M = 1 xx 35.5 = 35.5 g)`
d. `M = (55.5 xx 1000)/(111 xx 1000) = 0.5 M`
`BaCl_(2) rarr Ba%(2+) + 2 Cl^(ɵ)`
`:. Cl^(ɵ) = 2 xx M = 2 xx 0.5 = 1 M = 1 xx 35.5 = 35.5 g`