Step 1: Understand the van't Hoff factor.
The van't Hoff factor (\( i \)) represents the number of particles a compound dissociates into in solution.
For ionic compounds, \( i \) depends on the degree of dissociation.
Step 2: Analyze the given compounds. 1. KCl:
Dissociates into \( K^+ \) and \(Cl^-\).
Total particles = 2. \( i = 2 \). 2. NaCl:
Dissociates into \( Na^+ \) and \( Cl^-\).
Total particles = 2. \( i = 2 \). 3. \( K_2SO_4 \):
Dissociates into \( 2K^+ \) and \( SO_4^{2} \).
Total particles = 3. \( i = 3 \).
Step 3: Determine the correct answer.
The van't Hoff factors for KCl, NaCl, and \( K_2SO_4 \) are 2, 2, and 3, respectively.
For the given cell: \[ {Fe}^{2+}(aq) + {Ag}^+(aq) \to {Fe}^{3+}(aq) + {Ag}(s) \] The standard cell potential of the above reaction is given. The standard reduction potentials are given as: \[ {Ag}^+ + e^- \to {Ag} \quad E^\circ = x \, {V} \] \[ {Fe}^{2+} + 2e^- \to {Fe} \quad E^\circ = y \, {V} \] \[ {Fe}^{3+} + 3e^- \to {Fe} \quad E^\circ = z \, {V} \] The correct answer is:
Copper is being electrodeposited from a CuSO\(_4\) bath onto a stainless steel cathode of total surface area of 2 m\(^2\) in an electrolytic cell operated at a current density of 200 A m\(^{-2}\) with a current efficiency of 90%. The mass of copper deposited in 24 h is _________ kg (rounded off to two decimal places). Given: Faraday's constant = 96500 C mol\(^{-1}\), Atomic mass of copper = 63.5 g mol\(^{-1}\).