Question

A storage battery contains a solution of H₂SO₄ 38% by weight. At this concentration, Van't Hoff Factor is 2.50. At the battery content freeze temperature will be ______ K.

(K_f = 1.86 K Kg mol⁻¹)

Options

• 178.45

• 217.22

• 243.92

• 326.68

Answer 1

A storage battery contains a solution of H₂SO₄ 38% by weight. At this concentration, Van't Hoff Factor is 2.50. At the battery content freeze temperature will be 243.92 K.

Explanation:

ΔT_N = K_f × m

= `"K"_"f" xx ("W" xx 1000)/("M" xx "W")`

= `1.86 xx (38 xx 1000)/(98 xx 62)`

= 11.633

i = `(Δ"T"_"exp")/(Δ"T"_"N")` = 2.50

⇒ ΔT_exp = 11.633 × 2.50 = 29.08

Freezing point = 273 – 29.08 = 243.92 K