1. Predicting the Best Metal for Coating Iron:
Given Data:
- \( E^\circ_{X^{2+}/X} = -2.36 \, \text{V} \)
- \( E^\circ_{Y^{2+}/Y} = -0.14 \, \text{V} \)
- \( E^\circ_{Fe^{2+}/Fe} = -0.44 \, \text{V} \)
Explanation:
The \( E^\circ \) values represent the standard electrode potentials of the half-reactions. The more negative the \( E^\circ \) value, the more easily the substance will undergo oxidation. In the case of corrosion protection, a metal that is more easily oxidized (has a more negative \( E^\circ \)) can protect iron by sacrificing itself and forming a protective coating.
Step 1: Analyzing the Electrode Potentials:
- The more negative the \( E^\circ \) value, the more readily the substance will lose electrons and undergo oxidation. Therefore, the metal with the most negative \( E^\circ \) will be more easily oxidized and form a sacrificial layer to protect iron from corrosion.
- Iron (\( Fe^{2+}/Fe \)) has a standard electrode potential of \( -0.44 \, \text{V} \), which means iron can be oxidized in the presence of a more easily oxidized metal.
Step 2: Comparing X and Y for Coating:
- \( E^\circ_{X^{2+}/X} = -2.36 \, \text{V} \): Metal X has a very negative electrode potential, meaning it is highly prone to oxidation. This makes it a good candidate for sacrificial protection.
- \( E^\circ_{Y^{2+}/Y} = -0.14 \, \text{V} \): Metal Y has a less negative \( E^\circ \), meaning it is less prone to oxidation compared to metal X.
Conclusion:
Since metal X has a more negative \( E^\circ \) value, it is more likely to undergo oxidation and form a protective sacrificial coating on iron. Thus, metal X is a better choice for coating the surface of iron to prevent corrosion.
The molar conductance of an infinitely dilute solution of ammonium chloride was found to be 185 S cm$^{-1}$ mol$^{-1}$ and the ionic conductance of hydroxyl and chloride ions are 170 and 70 S cm$^{-1}$ mol$^{-1}$, respectively. If molar conductance of 0.02 M solution of ammonium hydroxide is 85.5 S cm$^{-1}$ mol$^{-1}$, its degree of dissociation is given by x $\times$ 10$^{-1}$. The value of x is ______. (Nearest integer)
Consider the following half cell reaction $ \text{Cr}_2\text{O}_7^{2-} (\text{aq}) + 6\text{e}^- + 14\text{H}^+ (\text{aq}) \longrightarrow 2\text{Cr}^{3+} (\text{aq}) + 7\text{H}_2\text{O}(1) $
The reaction was conducted with the ratio of $\frac{[\text{Cr}^{3+}]^2}{[\text{Cr}_2\text{O}_7^{2-}]} = 10^{-6}$
The pH value at which the EMF of the half cell will become zero is ____ (nearest integer value)
[Given : standard half cell reduction potential $\text{E}^\circ_{\text{Cr}_2\text{O}_7^{2-}, \text{H}^+/\text{Cr}^{3+}} = 1.33\text{V}, \quad \frac{2.303\text{RT}}{\text{F}} = 0.059\text{V}$
| Concentration of KCl solution (mol/L) | Conductivity at 298.15 K (S cm-1) | Molar Conductivity at 298.15 K (S cm2 mol-1) |
|---|---|---|
| 1.000 | 0.1113 | 111.3 |
| 0.100 | 0.0129 | 129.0 |
| 0.010 | 0.00141 | 141.0 |