Question

The total volume of dry gaseous products at $STP$ , when 3 moles of electrons are transferred from anode to cathode in the electrolysis of water is:

(Volume of gas a STP = 22.4 L)

• A. $67.2L$
• B. $50.4L$
• C. $44.8L$
• D. $56.0L$

Answer 1

Answer: (B)

$3O\stackrel{\Theta }{H}\to \frac{3}{4}{O}_2+\frac{3}{2}{H}_{2}O+3e^{-}(Anode)$

$3H^{+}+3e^{-}\to \frac{3}{2}{H}_2(Cathode)$

$\frac{3}{4}$ mole $O_2$ (Anode) $+\frac{3}{2}$ mole $H_2$ (cathode)

mole of gas $=\frac{3}{4}+\frac{3}{2}=\frac{9}{4}$

mole of gas $=\frac{9}{4}\times 22.4$

$=50.4L$