Physical Chemistry PYQ — Page 33

Consider the following statements : (A) The principal quantum number '$n$' is a positive integer with values of '$n$' $=1,2,3,\ldots$ (B) The azimuthal quantum number '$l$' for a given '$n$' (principal quantum number) can have values as '$l$' $=0,1,2,\ldots .n$ has $(2n+1)$ values. (C) Magnetic orbital quantum number '$\mathrm{m}$' for a particular '$\mathrm{l}$' (azimuthal quantum number) has $(2\mathrm{l}+1)$ values. (D) $\pm \frac{1}{2}$ are the two possible orientations of electron spin. (E) For $l=5$, there will be a total of $9$ orbital Which of the above statements are correct?

A dilute solution of sulphuric acid is electrolysed using a current of $0.10A$ for $2$ hours to produce hydrogen and oxygen gas. The total volume of gases produced at $\mathrm{STP}$ is ${\mathrm{cm}}^{3}$. (Nearest integer) [Given : Faraday constant $F=96500{\mathrm{Cmol}}^{-1}$ at $\mathrm{STP}$, molar volume of an ideal gas is $22.7L{\mathrm{mol}}^{-1}$]

Match List-I with List-II. <table class="pyq-table"><tbody><tr><td></td><td>List-I</td><td></td><td>List-II</td></tr><tr><td>A</td><td>$\mathrm{Cd}(s)+2\mathrm{Ni}{(\mathrm{OH})}_{3}(s)\rightarrow \mathrm{CdO}(s)+2\mathrm{Ni}{(\mathrm{OH})}_{2}(s)+{H}_{2}O(l)$</td><td>I</td><td>Primary battery</td></tr><tr><td>B</td><td>$\mathrm{Zn}(\mathrm{Hg})+\mathrm{HgO}(s)\rightarrow \mathrm{ZnO}(s)+\mathrm{Hg}(l)$</td><td>II</td><td>Discharging of secondary battery</td></tr><tr><td>C</td><td>$2{\mathrm{PbSO}}_{4}(s)+2{H}_{2}O(I)\rightarrow \mathrm{Pb}(s)+{\mathrm{PbO}}_{2}(s)+2{H}_{2}{\mathrm{SO}}_{4}(\mathrm{aq})$</td><td>III</td><td>Fuel cell</td></tr><tr><td>D</td><td>$2{H}_{2}(g)+{O}_{2}(g)\rightarrow 2{H}_{2}O(l)$</td><td>IV</td><td>Charging of secondary battery</td></tr></tbody></table>Choose the correct answer from the options given below

For a first order reaction, the time required for completion of $90%$ reaction is '$x$' times the half life of the reaction. The value of '$x$' is (Given: $\mathrm{ln}10=2.303$ and $\mathrm{log}2=0.3010$)

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

At $600K,2\mathrm{mol}$ of $\mathrm{NO}$ are mixed with $1\mathrm{mol}$ of ${O}_{2}$. $2{\mathrm{NO}}_{(g)}+{O}_{2}(g)⇄2{\mathrm{NO}}_{2}(g)$ The reaction occurring as above comes to equilibrium under a total pressure of $1$ atm. Analysis of the system shows that $0.6\mathrm{mol}$ of oxygen are present at equilibrium. The equilibrium constant for the reaction is____.

A $2.0g$ sample containing ${\mathrm{MnO}}_{2}$ is treated with $\mathrm{HCl}$ liberating ${\mathrm{Cl}}_{2}$. The ${\mathrm{Cl}}_{2}$ gas is passed into a solution of $\mathrm{KI}$ and $60.0\mathrm{mL}$ of $0.1{\mathrm{MNaS}}_{2}{O}_{3}$ is required to titrate the liberated iodine. The percentage of ${\mathrm{MnO}}_{2}$ in the sample is____. Nearest integer) [Atomic masses (in $u$) $\mathrm{Mn}=55;\mathrm{Cl}=35.5:O=16,I=127,\mathrm{Na}=23,K=39,S=32$]

For a first order reaction, the half-life is 10 minutes. What fraction of reactant remains after 40 minutes?

The cell potential for $\mathrm{Zn}|{\mathrm{Zn}}^{2+}(\mathrm{aq})\|{\mathrm{Sn}}^{x+}|\mathrm{Sn}$ is $0.801V$ at $298K$. The reaction quotient for the above reaction is ${10}^{-2}$. The number of electrons involved in the given electrochemical cell reaction is _____ . (Given ${E}_{{\mathrm{Zn}}^{2+}\mid \mathrm{Zn}}^{0}=-0.763V,{E}_{{\mathrm{Sn}}^{x+}|\mathrm{Sn}}^{0}=+0.008V$ and $\frac{2.303\mathrm{RT}}{F}=0.06V$)

Which of the following pair is not isoelectronic species? (Atomic numbers $\mathrm{Sm}=62;\mathrm{Er}=68;\mathrm{Yb}=70;\mathrm{Lu}=71;\mathrm{Eu}=63;\mathrm{Tb}=65;Tm=69$)

$200\mathrm{mL}$ 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

On complete combustion of $0.492g$ of an organic compound containing $C,H$ and $O,0.7938g$ of ${\mathrm{CO}}_{2}$ and $0.4428g$ of ${H}_{2}O$ was produced. The $%$ composition of oxygen in the compound is____. (Nearest Integer)

Consider an imaginary ion $X3-2248$. The nucleus contains '$a$'$%$ more neutrons than the number of electrons in the ion. The value of '$a$' is

When $600\mathrm{mL}$ of $0.2M{\mathrm{HNO}}_{3}$ is mixed with $400\mathrm{mL}$ of $0.1M\mathrm{NaOH}$ solution in a flask, the rise in temperature of the flask is_____$\times {10}^{-2}^{\circ}C$ (Enthalpy of neutralisation $=57\mathrm{kJ}{\mathrm{mol}}^{-1}$ and Specific heat of water $=4.2{\mathrm{JK}}^{-1}{g}^{-1}$) (Neglect heat capacity of flask)

$4.0$ moles of argon and $5.0$ moles of ${\mathrm{PCl}}_{5}$ are introduced into an evacuated flask of $100$ litre capacity at $610K$. The system is allowed to equilibrate. At equilibrium, the total pressure of mixture was found to be $6.0\mathrm{atm}$. The ${K}_{p}$ for the reaction is [Given : $R=0.082L$ atm ${K}^{-1}{\mathrm{mol}}^{-1}$ ]

$116g$ of a substance upon dissociation reaction, yields $7.5g$ of hydrogen, $60g$ of oxygen and $48.5g$ of carbon. Given that the atomic masses of $H,O$ and $C$ are $1,16$ and $12$, respectively. The data agrees with how many formulae of the following? A. ${\mathrm{CH}}_{3}\mathrm{COOH}$ B. $\mathrm{HCHO}$ C. ${\mathrm{CH}}_{3}{\mathrm{OOCH}}_{3}$ D. ${\mathrm{CH}}_{3}\mathrm{CHO}$

The Plot of $\mathrm{pH}$-metric titration of weak base ${\mathrm{NH}}_{4}\mathrm{OH}$ vs strong acid $\mathrm{HCl}$ looks like

The minimum uncertainty in the speed of an electron in one dimensional region of length $2{a}_{o}$ (Where ${a}_{o}=$ Bohr radius $52.9\mathrm{pm}$) is____${\mathrm{kms}}^{-1}$ (Nearest integer) (Given : Mass of electron $=9.1\times {10}^{-31}\mathrm{kg}$, Planck's constant $h=6.63\times {10}^{-34}\mathrm{Js}$)

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $x$ times the velocity of neutron. The value of $x$ is____(the nearest integer)(Mass of electron is $9.1\times {10}^{-31}\mathrm{kg}$ and mass of neutron is $1.6\times {10}^{-27}\mathrm{kg}$)

The electronic configuration of $\mathrm{Pt}$ (atomic number $78$) is

The longest wavelength of light that can be used for the ionisation of lithium ion $\mathrm{(Li^{2+})}$ is $x\times {10}^{-8}m$. The value of $x$ is (Nearest Integer) (Given : Energy of the electron in the first shell of the hydrogen atom is $-2.2\times {10}^{-18}J$; $h=6.63\times {10}^{-34}\mathrm{Js}$ and $c=3\times {10}^{8}{\mathrm{ms}}^{-1}$)

A protein '$A$' contains $0.30%$ of glycine (molecular weight $75$). The minimum molar mass of the protein '$A$' is____$\times {10}^{3}g{\mathrm{mol}}^{-1}$ [nearest integer]

For the reaction taking place in the cell: $\mathrm{Pt}(s){H}_{2}(g){H}^{+}(\mathrm{aq})||{\mathrm{Ag}}^{+}(\mathrm{aq})|\mathrm{Ag}(s)$ ${E}_{\mathrm{cell}}^{^{\circ}}=+0.5332V.$ The value of ${\Delta }_{f}{G}^{\ominus }$ is ${\mathrm{kJmol}}^{-1}$. (in nearest integer)

The number of $N$ atoms in $681g$ of ${C}_{7}{H}_{5}{N}_{3}{O}_{6}$ is $x\times {10}^{21}$. The value of $x$ is $({N}_{A}=6.02\times {10}^{23}{\mathrm{mol}}^{-1})$ (Nearest Integer)