For a cell involving one electron \(E_{cell }^{\ominus} =0.59 \mathrm{V}\) at \(298 \;\mathrm{K}\), the equilibrium constant for the cell reaction is Given that \(\left.\frac{2.303 \mathrm{RT}}{\mathrm{F}}=0.059 \mathrm{V} \text { at } \mathrm{T}=298 \mathrm{K}\right]\)

A \(1.0 \times 10^{2}\)
B \(1.0 \times 10^{5}\)
C \(1.0 \times 10^{10}\)
D \(1.0 \times 10^{30}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(1.0 \times 10^{10}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{E}_{\text {cell }}=\mathrm{E}_{\text {cell }}^{\circ}-\frac{2.303 \mathrm{RT}}{\mathrm{nF}} \log _{10} \mathrm{Q}\) at equllbrium \(\mathrm{E}_{\mathrm{cell}}=0, \mathrm{Q}=\mathrm{K}_{\mathrm{eq}}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

For a sample of perfect gas when its pressure is changed isothermally from \(p_i\) to \(p_f,\) the entropy change is given by

NEET 2016 Medium

Match the Xenon compounds in Column\(-I\) with its structure in Column\(-II\) and assign the correct code

Column\(-I\)	Column\(-II\)
\((a)\) \(\mathrm{XeF}_{4}\)	\((i)\) pyramidal
\((b)\) \(\mathrm{XeF}_{6} \)	\((ii)\) square planar
\((c)\) \(\mathrm{XeOF}_{4}\)	\((iii)\) distorted octahedral
\((d)\) \(\mathrm{XeO}_{3} \)	\((iv)\) square pyramidal

code : \((a) \quad (b)\quad (c) \quad (d)\)

NEET 2019 Hard

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