Question

The ${\mathrm{K}}_{\mathrm{s}\mathrm{p}}$ for the following dissociation is $1.6\times {10}^{-5}$
${\mathrm{P}\mathrm{b}\mathrm{C}\mathrm{l}}_{2\left(\mathrm{s}\right)}\rightleftharpoons \mathrm{P}{\mathrm{b}}_{\left(\mathrm{a}\mathrm{q}\right)}^{2+}+2\mathrm{C}{\mathrm{l}}_{\left(\mathrm{a}\mathrm{q}\right)}^{-}$
Which of the following choices is correct for a mixture of $300 \mathrm{m}\mathrm{L }\mathrm{0.134 }\mathrm{M} \mathrm{P}\mathrm{b}{\left(\mathrm{N}{\mathrm{O}}_3\right)}_2$ and $100 \mathrm{m}\mathrm{L}$ $\mathrm{0.4 }\mathrm{M }\mathrm{}\mathrm{N}\mathrm{a}\mathrm{C}\mathrm{l}?$

JEE Main 2020 (09 Jan Shift 1)

Options

• A: Not enough data provided
• B: $\mathrm{Q}<{\mathrm{K}}_{\mathrm{s}\mathrm{p}}$
• C: $\mathrm{Q}>{\mathrm{K}}_{\mathrm{s}\mathrm{p}}$
• D: $\mathrm{Q}={\mathrm{K}}_{\mathrm{s}\mathrm{p}}$

Question

A soft drink was bottled with a partial pressure of ${\mathrm{CO}}_2$ of 3 bar over the liquid at room temperature. The partial pressure of ${\mathrm{CO}}_2$ over the solution approaches a value of 30 bar when $44 \mathrm{g}$ of ${\mathrm{CO}}_2$ is dissolved in $1 \mathrm{kg}$ of water at room temperature. The approximate $\mathrm{pH}$ of the soft drink is ___________$\times {10}^{-1}$.
(First dissociation constant of ${\mathrm{H}}_2{\mathrm{CO}}_3=4.0\times {10}^{-7}; \log 2=0.3;$ density of the soft drink $=1 \mathrm{g} {\mathrm{mL}}^{-1}$)

JEE Main 2020 (05 Sep Shift 1)

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Question

A solution is $0.1\mathrm{M}$ in ${\mathrm{Cl}}^{-}$ and $0.001\mathrm{M}$ in ${\mathrm{CrO}}_4^{2-}.$
Solid ${\mathrm{AgNO}}_3$ is gradually added to it Assuming that the addition does not change in volume and ${\mathrm{K}}_{\mathrm{sp}}\left(\mathrm{AgCl}\right)=1.7\times {10}^{-10}{\mathrm{M}}^2$ and
${\mathrm{K}}_{\mathrm{sp}}\left({\mathrm{Ag}}_2{\mathrm{CrO}}_4\right)=1.9\times {10}^{-12}{\mathrm{M}}^3.$

Select correct statement from the following:

JEE Main 2021 (20 Jul Shift 2)

Options

• A: $\mathrm{AgCl}$ precipitates first because its ${\mathrm{K}}_{\mathrm{sp}}$ is high.
• B: ${\mathrm{Ag}}_2{\mathrm{CrO}}_4$ precipitates first as its ${\mathrm{K}}_{\mathrm{sp}}$ is low.
• C: ${\mathrm{Ag}}_2{\mathrm{CrO}}_4$ precipitates first because the amount of ${\mathrm{Ag}}^{+}$ needed is low.
• D: $\mathrm{AgCl}$ will precipitate first as the amount of ${\mathrm{Ag}}^{+}$ needed to precipitate is low.

Question

$0.01$ moles of a weak acid $\mathrm{HA} \left({\mathrm{K}}_{\mathrm{a}}=2.0\times {10}^{-6}\right)$ is dissolved in $1.0 \mathrm{L}$ of $0.1\mathrm{M} \mathrm{HCl}$ solution. The degree of dissociation of $\mathrm{HA}$ is __________ $\times {10}^{-5}$ (Round off to the Nearest Integer). [Neglect volume change on adding $\mathrm{HA}$ and assume degree of dissociation $<<1$]

JEE Main 2021 (17 Mar Shift 1)

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Question

$10.0 \mathrm{ml}$ of ${\mathrm{Na}}_2{\mathrm{CO}}_3$ solution is titrated against $0.2 \mathrm{M} \mathrm{HCl}$ solution. The following values were obtained in $5$ readings. $4.8 \mathrm{ml},4.9 \mathrm{ml},5.0 \mathrm{ml},5.0 \mathrm{ml}$ and $5.0 \mathrm{ml}$ 

Based on these readings, and convention of titrimetric estimation of concentration of ${\mathrm{Na}}_2{\mathrm{CO}}_3$ solution is ___ $\mathrm{mM}$.
(Round off to the Nearest integer)

JEE Main 2021 (18 Mar Shift 2)

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Question

Assuming that $\mathrm{Ba}(\mathrm{OH}{)}_2$ is completely ionised in aqueous solution under the given conditions the concentration of ${\mathrm{H}}_3{\mathrm{O}}^{+}$ ions in $0.005\mathrm{M}$
aqueous solution of $\mathrm{Ba}(\mathrm{OH}{)}_2$ at $298 \mathrm{K}$ is _________ $\times {10}^{-12} \mathrm{mol}{ \mathrm{L}}^{-1}.$ (Nearest integer)

JEE Main 2021 (25 Jul Shift 2)

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Question

${\mathrm{A}}_3{\mathrm{B}}_2$ is a sparingly soluble salt of molar mass $\mathrm{M}\left(\mathrm{g} {\mathrm{mol}}^{-1}\right)$ and solubility $\mathrm{x} \mathrm{g}{ \mathrm{L}}^{-1}.$ The solubility product satisfies ${\mathrm{K}}_{\mathrm{sp}}=\mathrm{a}{\left(\frac{\mathrm{x}}{\mathrm{M}}\right)}^5.$ The value of $\mathrm{a}$ is __________ . (Integer answer)

JEE Main 2021 (31 Aug Shift 1)

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Question

The molar solubility of $\mathrm{Zn}(\mathrm{OH}{)}_2$ in $0.1\mathrm{MNaOH}$ solution is $x\times {10}^{-18}\mathrm{M}.$ The value of $x$ is _____ . (Nearest integer)

$\left(\text{Given : The solubility product of }\mathrm{Zn}(\mathrm{OH}{)}_2 \text{is} 2\times {10}^{-20}\right)$

JEE Main 2021 (01 Sep Shift 2)

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Question

$20 \mathrm{mL}$ of $0.1\mathrm{M} {\mathrm{NH}}_4\mathrm{OH}$ is mixed with $40 \mathrm{mL}$ of $0.05 \mathrm{M} \mathrm{HCl}$. The $\mathrm{pH}$ of the mixture is nearest to:
(Given: ${\mathrm{K}}_{\mathrm{b}}\left({\mathrm{NH}}_4\mathrm{OH}\right)=1\times {10}^{-5}, \log 2=0.30$, $\log 3=0.48, \log 5=0.69, \log 7=0.84$, $\log 11=1.04$)

JEE Main 2022 (25 Jul Shift 1)

Options

• A: $3.2$
• B: $4.2$
• C: $5.2$
• D: $6.2$

Question

${\mathrm{Ka}}_1,{\mathrm{Ka}}_2$ and ${\mathrm{Ka}}_3$ are the respective ionization constants for the following reactions $\left(\mathrm{a}\right),\left(\mathrm{b}\right)$ and $\left(\mathrm{c}\right)$.

(a) ${\mathrm{H}}_2{\mathrm{C}}_2{\mathrm{O}}_4\rightleftharpoons {\mathrm{H}}^{+}+{\mathrm{HC}}_2{\mathrm{O}}_4^{-}$

(b) ${\mathrm{HC}}_2{\mathrm{O}}_4^{-}\rightleftharpoons {\mathrm{H}}^{+}+{\mathrm{HC}}_2{\mathrm{O}}_4^{2-}$

(c) ${\mathrm{H}}_2{\mathrm{C}}_2{\mathrm{O}}_4\rightleftharpoons 2{\mathrm{H}}^{+}+{\mathrm{C}}_2{\mathrm{O}}_4^{2-}$

The relationship between ${\mathrm{K}}_{{\mathrm{a}}_1},{ \mathrm{K}}_{{\mathrm{a}}_2}$ and ${\mathrm{K}}_{{\mathrm{a}}_3}$ is given as

JEE Main 2022 (25 Jul Shift 2)

Options

• A: ${\mathrm{K}}_{\mathrm{a}3}={\mathrm{K}}_{\mathrm{a}1}+{\mathrm{K}}_{\mathrm{a}2}$
• B: ${\mathrm{K}}_{\mathrm{a}3}=\frac{{\mathrm{K}}_{\mathrm{a}1}}{{\mathrm{K}}_{\mathrm{a}2}}$
• C: ${\mathrm{K}}_{\mathrm{a}3}={\mathrm{K}}_{\mathrm{a}1}-{\mathrm{K}}_{\mathrm{a}2}$
• D: ${\mathrm{K}}_{\mathrm{a}3}={\mathrm{K}}_{\mathrm{a}1}\times {\mathrm{K}}_{\mathrm{a}2}$

Question

The Plot of $\mathrm{pH}$-metric titration of weak base ${\mathrm{NH}}_4\mathrm{OH}$ vs strong acid $\mathrm{HCl}$ looks like

JEE Main 2022 (27 Jul Shift 2)

Options

• A:

  

• B:

  

• C:

  

• D:

  

Question

$200 \mathrm{mL}$ of $0.01\mathrm{MHCl}$ is mixed with $400 \mathrm{mL}$ of $0.01{\mathrm{MH}}_2{\mathrm{SO}}_4$. The $\mathrm{pH}$ of the mixture is

JEE Main 2022 (29 Jul Shift 2)

Options

• A: $1.14$
• B: $1.78$
• C: $2.34$
• D: $3.02$

Question

$50 \mathrm{mL}$ of $0.1 \mathrm{M} {\mathrm{CH}}_3\mathrm{COOH}$ is being titrated against $0.1 \mathrm{M} \mathrm{NaOH}$. When $25 \mathrm{mL}$ of $\mathrm{NaOH}$ has been added, the $\mathrm{pH}$ of the solution will be____$\times {10}^{-2}$. (Nearest integer)

(Given : ${\mathrm{pK}}_{\mathrm{a}}\left({\mathrm{CH}}_3\mathrm{COOH}\right)=4.76$)

$\log 2=0.30$

$\log 3=0.48$

$\log 5=0.69$

$\log 7=0.84$

$\log 11=1.04$

JEE Main 2022 (26 Jun Shift 1)

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Question

At $310 \mathrm{K}$, the solubility of ${\mathrm{CaF}}_2$ in water is $2.34\times {10}^{-3} \mathrm{g}/100 \mathrm{mL}$. The solubility product of ${\mathrm{CaF}}_2$ is ---- $\times {10}^{-8}{\left(\mathrm{mol}/\mathrm{L}\right)}^3$(nearest integer). (Given molar mass : ${\mathrm{CaF}}_2=78 \mathrm{g}{ \mathrm{mol}}^{-1}$)

JEE Main 2022 (27 Jul Shift 1)

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Question

The solubility of $\mathrm{AgCl}$ will be maximum in which of the following?

JEE Main 2022 (29 Jun Shift 1)

Options

• A: $0.01 \mathrm{M} \mathrm{HCl}$
• B: $0.01 \mathrm{M} \mathrm{KCl}$
• C: Deionised water
• D: $0.01\mathrm{M} {\mathrm{AgNO}}_3$

Question

The dissociation constant of acetic is $\mathrm{x} \times {10}^{–5}$. When $25 \mathrm{mL} \mathrm{of} 0.2 \mathrm{M} {\mathrm{CH}}_3\mathrm{COONa}$ solution is mixed with $25 \mathrm{mL} \mathrm{of} 0.02 \mathrm{M} {\mathrm{CH}}_3\mathrm{COOH}$ solution, the $\mathrm{pH}$ of the resultant solution is found to be equal to $5$. The value of $\mathrm{x}$ is _______.

JEE Main 2023 (24 Jan Shift 1)

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Question

$20 \mathrm{mL}$ of $0.1\mathrm{MNaOH}$ is added to $50 \mathrm{mL}$ of $0.1\mathrm{M}$ acetic acid solution. The $\mathrm{pH}$ of the resulting solution is $\times {10}^{-2}$. (Nearest integer) Given : $\mathrm{pK}a\left({\mathrm{CH}}_3\mathrm{COOH}\right)=4.76$

$\log 2 = 0.30$

$\log 3 = 0.48$

JEE Main 2023 (13 Apr Shift 2)

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