AIPMT 2011 Preliminary Mock Test

The van't Hoff factor $i$ for a compound which undergoes dissociation in one solvent and association in another solvent is respectively:

Standard electrode potential for ${\text{Sn}}^{4+}/{\text{Sn}}^{2+}$ couple is $+0.15\text{V}$ and that for the ${\text{Cr}}^{3+}/\text{Cr}$ couple is $-0.74\text{V}$. These two couples in their standard state are connected to make a cell. The cell potential will be:

A gaseous mixture was prepared by taking equal moles of $\text{CO}$ and ${\text{N}}_2$. If the total pressure of the mixture was found to be $1$ atmosphere, the partial pressure of nitrogen (${\text{N}}_2$) in the mixture is:

If the $E_{cell}^{\circ }$ for a given reaction has a negative value, then which of the following gives the correct relationships for the values of $\Delta G^{\circ }$ and $K_{eq}$?

The freezing point depression constant for water is $1.86^{\circ }\text{C/m}$. If $5.00\text{g}$ ${\text{Na}}_2{\text{SO}}_4$ is dissolved in $45.0\text{g}$ ${\text{H}}_2\text{O}$, the freezing point is changed by $-3.82^{\circ }\text{C}$. Calculate the van't Hoff factor for ${\text{Na}}_2{\text{SO}}_4$: (Molar mass of ${\text{Na}}_2{\text{SO}}_4=142\text{g/mol}$)