Embibe Experts Solutions for Chapter: Solutions, Exercise 1: KEAM 2019

Acetic acid dimerises when dissolved in benzene. As a result boiling point of the solution rises by $0.36°\mathrm{C},$ when $100 \mathrm{g}$ of benzene is mixed with $\mathrm{X} \mathrm{g}$ of acetic acid. In this solution, if experimentally measured molecular weight of acetic acid is $117.8$ and molar elevation constant of benzene is $2.57 \mathrm{K} \mathrm{kg}{ \mathrm{mol}}^{-1},$ what is the weight $\%$ and degree of dissociation (in $\%$) of acetic acid in benzene?

When the same amount of the solute $\text{'}\mathrm{P}\text{'}$ and $\text{'}\mathrm{Q}\text{'}$ are separately dissolved in $500\mathrm{g}$ water, the $\mathrm{\Delta }$ ${\mathrm{T}}_{\mathrm{f}}$ values are $0.15\mathrm{K}$ and $0.30\mathrm{K}$ respectively. If the molecular weight of ${}^{\text{'}}\mathrm{P}^{\text{'}}$ is $80\mathrm{g} {\mathrm{mol}}^{-1}$, then the molecular weight of ${}^{\text{'}}\mathrm{Q}^{\text{'}}$ is

Consider the galvanic cell. $P{t}_{\left(S\right)}\left|H_2\left(1\text{bar}\right)\right|H^{+}{}_{\left(aq\right)}1M|\left|HC{l}_{\left(aq\right)}1M\right|C{l}_2\left(1\text{bar}\right)|P{t}_{\left(s\right)}$ . After running the cell for sometime, the concentration of the electrolyte is automatically raised to $3M HCl$ . Molar conductivity of the $3M HCl$ is about $240S c{m}^{2}mo{l}^{-1}$ and limiting molar conductivity of $HCl$ is about $420S c{m}^{2}mo{l}^{-1}$ . If $K_b$ of water is $0.52K kg mo{l}^{-1}$ , calculate the boiling point of the electrolyte at the end of the experiment

The Henry's law constant for ${\mathrm{O}}_2$ dissolved in water is $4.34\times {10}^4$ atm at certain temperature. If the partial pressure of ${\mathrm{O}}_2$ in a gas mixture that is in equilibrium with water is $0.434 \mathrm{atm},$ what is the mole fraction of ${\mathrm{O}}_2$ in the solution ?

If $\mathrm{1 }mol$ of $NaCl$ solute is dissolved in $\mathrm{1 }kg$ of water, at what temperature will water boil at $1.013$ bar?

$\left(K_b \mathrm{o}\mathrm{f}\mathrm{ }\mathrm{w}\mathrm{a}\mathrm{t}\mathrm{e}\mathrm{r}\mathrm{ }\mathrm{i}\mathrm{s}\mathrm{ }0.52K kg mo{l}^{-1}\right)$