AIPMT 2012 Mock Test

Vapour pressure of chloroform (${\text{CHCl}}_3$) and dichloromethane (${\text{CH}}_2{\text{Cl}}_2$) at $25^{\circ }\text{C}$ are $200\text{mm Hg}$ and $41.5\text{mm Hg}$ respectively. Vapour pressure of the solution obtained by mixing $25.5\text{g}$ of ${\text{CHCl}}_3$ and $40\text{g}$ of ${\text{CH}}_2{\text{Cl}}_2$ at the same temperature will be: (Molecular mass of ${\text{CHCl}}_3=119.5\text{u}$ and molecular mass of ${\text{CH}}_2{\text{Cl}}_2=85\text{u}$)

The Gibbs energy for the decomposition of ${\text{Al}}_2{\text{O}}_3$ at $500^{\circ }\text{C}$ is as follows:
$$\frac{2}{3}{\text{Al}}_2{\text{O}}_3\to \frac{4}{3}\text{Al}+{\text{O}}_2;{\Delta }_{r}G=+960{\text{kJ mol}}^{-1}$$
The potential difference needed for the electrolytic reduction of aluminium oxide (${\text{Al}}_2{\text{O}}_3$) at $500^{\circ }\text{C}$ is at least:

Four successive members of the first series of the transition metals are listed below. For which one of them the standard potential ($E_{M^{2+}/M}^{\circ }$) value has a positive sign?

Which of the following exhibits only $+3$ oxidation state?

Molar conductivities (${\Lambda }_m^{\circ }$) at infinite dilution of $\text{NaCl}$, $\text{HCl}$ and ${\text{CH}}_3\text{COONa}$ are $126.4$, $425.9$ and $91.0{\text{S cm}}^2{\text{mol}}^{-1}$ respectively. ${\Lambda }_m^{\circ }$ for ${\text{CH}}_3\text{COOH}$ will be: