Embibe Experts Solutions for Chapter: Equilibrium, Exercise 1: Exercise 1

A $350.0 \mathrm{mL}$ buffer solution is $0.150\mathrm{M}$ in $HF$ and $0.150\mathrm{M}$ in $\mathrm{NaF}$. If the same volume of another buffer is $0.350\mathrm{M}$ in $HF$ and $0.350\mathrm{M}$ in $\mathrm{NaF}$ is taken. Then, difference masses of $\mathrm{NaOH}$ could be added to these buffers before the $\mathrm{pH}$ of both buffers rise just above $4.00$? ( $K_a$ of $\mathrm{HF}=3.5\times {10}^{-4}$)

A particular water sample has $136 \mathrm{ppm} {\mathrm{CaSO}}_4$. What fraction of the water must be evaporated from the sample before solid ${\mathrm{CaSO}}_4$ begins to deposit $\left(K_{SP}\right.$of $\left.{\mathrm{CaSO}}_4=9\times {10}^{-6}\right)$

There are $3$ stretchable balloons are filled up their maximum capacity. When an inert $gas\left({\mathrm{N}}_2\right)$ is introduced in these balloons at constant pressure. Which of the balloon will not burst?

A certain gas '$\mathrm{A}$' polymerizes to a very small extent at a given temperature as $\mathrm{nA}\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{A}}_{\mathrm{a}}\left(\mathrm{g}\right)$. The reaction is started with one mole of '$\mathrm{A}$' in a container of capacity V. Which of the following is the correct value of $\frac{\mathrm{PV}}{\mathrm{RT}}$, at equilibrium?

Consider the addition of ${\mathrm{MgF}}_2$ and ${\mathrm{CaF}}_2$ in water as given in (a) and (b)
(a) $4.96\mathrm{mg}$ of ${\mathrm{MgF}}_2$ in $125\mathrm{mL}$ of pure water ${\mathrm{K}}_{\mathrm{sp}}$ of ${\mathrm{MgF}}_2=3.2\times {10}^{-8}$
(b) $3.9 \mathrm{mg}$ of $\mathrm{CaF}_{2}$ in $100 \mathrm{~mL}$ of pure water, ${\mathrm{K}}_{\mathrm{sp} }$ of ${\mathrm{CaF}}_2=4\times {10}^{-12}$. Choose the correct statement(s) from amongst the following.

A $2.5\mathrm{g}$ impure sample containing weak monoacidic base (Molecular weight $=45$ ) is dissolved in $100\mathrm{mL}$ water and titrated with $0.5\mathrm{MHCl}$ at $25°\mathrm{C}$. When $1/5^{\mathrm{th} }$ of the base is neutralized, the $\mathrm{pH}$ is found to be $9$ and at equivalent point, the $\mathrm{pH}$ of solution is $4.5$ ( $\log 2=0.3$ antilog $0.4=2.5$ ).

Consider the equilibria:

1. $\mathrm{Hb}\left(\mathrm{aq}.\right)+4{\mathrm{O}}_2\left(\mathrm{g}\right)\rightleftharpoons \underset{\left(\mathrm{light} \mathrm{red}\right)}{\mathrm{Hb}{\left({\mathrm{O}}_2\right)}_4}\left(\mathrm{aq}.\right) ; {\mathrm{K}}_{{\mathrm{C}}_1}$

2. $\mathrm{Hb}(\mathrm{aq}.)+4\mathrm{CO}\left(\mathrm{g}\right)\rightleftharpoons \underset{\left(\mathrm{deep} \mathrm{red}\right)}{\mathrm{Hb}{\left(\mathrm{CO}\right)}_4}\left(\mathrm{aq}.\right) ; {\mathrm{K}}_{{\mathrm{C}}_2}$

($\mathrm{Hb}=$Haemoglobin in blood)

Identify the correct statement(s):

At $1467°\mathrm{C}$, the progress of the reaction:
$\mathrm{xA}\left(\mathrm{g}\right)\rightleftharpoons \mathrm{yB}\left(\mathrm{g}\right)$
in a $1\mathrm{L}$ vessel is presented in the following figure:

Identify the correct statement(s):