Q97 · Practice questionComplex unfamiliar7 marks
QUESTION 97 (7 marks)
A zinc–copper galvanic cell contains 50.0 mL of 0.100 mol L⁻¹ Cu²⁺ solution and excess zinc. In an ideal model, Cu²⁺ reduction is the only cathode reaction. The cell supplies a constant 0.200 A until all initial Cu²⁺ is consumed. Use , and .
a) Write the net ionic reaction. [1 marks]
b) Calculate the maximum copper mass gain and zinc mass loss. [3 marks]
c) Calculate the operating time in minutes. [2 marks]
d) Explain why the constant-current assumption becomes less realistic near depletion. [1 marks]
WORKED SOLUTION
7 marksPractice marking scheme
; Cu gain 0.318 g; Zn loss 0.327 g; time 80.4 min.
Initial Cu²⁺=0.00500 mol. Both metals change by this mole amount: masses=0.31775 and 0.32700 g. Electrons=0.0100 mol, charge=964.85 C, time=4824.25 s=80.404 min. As Cu²⁺ becomes scarce, reaction rate and cell driving force under actual conditions decline.
- Writes balanced net reaction. [1 marks]
- Calculates initial copper-ion moles. [1 marks]
- Calculates copper gain. [1 marks]
- Calculates zinc loss with 1:1 ratio. [1 marks]
- Uses two electrons per Cu²⁺ and q=nF. [1 marks]
- Calculates 80.4 min. [1 marks]
- Explains concentration depletion limits real current/rate. [1 marks]
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