Practice question
Question
What is the EMF of a ll with Zn(s) | Zn²âº(0.05 M) || Hâº(0.1 M) | Hâ‚‚(g, 1 bar) | Pt(s) at 298 K, given E_{Zn^{2+/Znâ° = -0.76 V and E_{H^{+/H_2â° = 0 V ?
Explanation
Given:
What is the EMF of a ll with Zn(s) | Zn²âº(0.05 M) || Hâº(0.1 M) | Hâ‚‚(g, 1 bar) | Pt(s) at 298 K, given E_{Zn^{2+/Znâ° = -0.76 V and E_{H^{+/H_2â° = 0 V ?
These values define the system as per NCERT data.
Formula:
E_{llâ° = 0 - (-0.76) = 0.76 V, n = 2.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
E_{ll = E_{llⰠ- 0.059/2 log frac[Zn^{2+][H^{+]² . Q = 0.05/(0.1)² = 5, log Q = 0.699 . E_{ll = 0.76 - 0.059/2 × 0.699 = 0.76 - 0.0206 = 0.7394 V approx 0.74 V .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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