Physical Chemistry PYQ — Page 34

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 $\frac{2.303\mathrm{RT}}{F}=0.06V$)

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 quantity of electricity in Faraday needed to reduce $1\mathrm{mol}$ of ${\mathrm{Cr}}_{2}{O}_{7}^{2-}$ to ${\mathrm{Cr}}^{3+}$ is

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

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____.

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)

A company dissolves '$x$' amount of ${\mathrm{CO}}_{2}$ at $298K$ in $1$ litre of water to prepare soda water. $X=\times {10}^{-3}g$. (nearest integer) (Given: partial pressure of ${\mathrm{CO}}_{2}$ at $298K=0.835$ bar. Henry's law constant for ${\mathrm{CO}}_{2}$ at $298K=1.67\mathrm{kbar}$. Atomic mass of $H,C$ and $O$ is $1,12$, and $6g{\mathrm{mol}}^{-1}$, respectively)

The reaction between $X$ and $Y$ is first order with respect to $X$ and zero order with respect to $Y$. <table class="pyq-table"><tbody><tr><td>Experiment</td><td>$\frac{[X]}{{\mathrm{molL}}^{-1}}$</td><td>$\frac{[Y]}{{\mathrm{molL}}^{-1}}$</td><td>$\frac{\mathrm{Initial}rate}{\mathrm{mol}{L}^{-1}{\mathrm{min}}^{-1}}$</td></tr><tr><td>I</td><td>$0.1$</td><td>$0.1$</td><td>$2\times {10}^{-3}$</td></tr><tr><td>II</td><td>$L$</td><td>$0.2$</td><td>$4\times {10}^{-3}$</td></tr><tr><td>III</td><td>$0.4$</td><td>$0.4$</td><td>$M\times {10}^{-3}$</td></tr><tr><td>IV</td><td>$0.1$</td><td>$0.2$</td><td>$2\times {10}^{-3}$</td></tr></tbody></table>Examine the data of table and calculate ratio of numerical values of $M$ and $L$.

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)

For a reaction, given below is the graph of $\mathrm{lnk}\mathrm{vs}\frac{1}{T}$. The activation energy for the reaction is equal to____$\mathrm{cal}{\mathrm{mol}}^{-1}$.(Given : $R=2{\mathrm{calK}}^{-1}{\mathrm{mol}}^{-1}$) 

$2.2g$ of nitrous oxide $({N}_{2}O)$ gas is cooled at a constant pressure of $1$ atm from $310K$ to $270K$ causing the compression of the gas from $217.1\mathrm{mL}$ to $167.75\mathrm{mL}$. The change in internal energy of the process, $\triangle U$ is $'-x'J$. The value of $'x'$ is _____. [nearest integer] (Given: atomic mass of $N=14g{\mathrm{mol}}^{-1}$ and of $O=16g{\mathrm{mol}}^{-1}$. Molar heat capacity of ${N}_{2}O$ is $100{\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1}$)

$120g$ of an organic compound which contains only carbon and hydrogen on complete combustion gives $330g$ of ${\mathrm{CO}}_{2}$ and $270g$ of water. The percentage of carbon and hydrogen in the organic compound are respectively

${\mathrm{SO}}_{2}{\mathrm{Cl}}_{2}$ on reaction with excess of water results into acidic mixture ${\mathrm{SO}}_{2}{\mathrm{Cl}}_{2}+2{H}_{2}O\rightarrow {H}_{2}{\mathrm{SO}}_{4}+2\mathrm{HCl}$ $16$ moles of $\mathrm{NaOH}$ is required for the complete neutralisation of the resultant acidic mixture. The number of moles of ${\mathrm{SO}}_{2}{\mathrm{Cl}}_{2}$ used is

Which of the given reactions is not an example of disproportionation reaction?

Which one of the following is an example of disproportionation reaction?

The normality of ${H}_{2}{\mathrm{SO}}_{4}$ in the solution obtained on mixing $100\mathrm{mL}$ of $0.1M{H}_{2}{\mathrm{SO}}_{4}$ with $50\mathrm{mL}$ of $0.1M\mathrm{NaOH}$ is____$\times {10}^{-1}N$.

If the uncertainty in velocity and position of a minute particle in space are, $2.4\times {10}^{-26}({\mathrm{ms}}^{-1})$ and ${10}^{-7}(m)$ respectively. The mass of the particle in $g$ is___(Nearest integer) (Given : $h=6.626\times {10}^{-34}\mathrm{Js}$)

If the work function of a metal is $6.63\times {10}^{-19}J$, the maximum wavelength of the photon required to remove a photoelectron from the metal is____$\mathrm{nm}$. Nearest integer) [Given : $h=6.63\times {10}^{-34}Js$, and $c=3\times {10}^{8}m{s}^{-1}$]

$2L$ of $0.2{\mathrm{MH}}_{2}{\mathrm{SO}}_{4}$ is reacted with $2L$ of $0.1\mathrm{MNaOH}$ solution, the molarity of the resulting product ${\mathrm{Na}}_{2}{\mathrm{SO}}_{4}$ in the solution is____millimolar.

Production of iron in blast furnace follows the following equation ${\mathrm{Fe}}_{3}{O}_{4}(s)+4\mathrm{CO}(g)\rightarrow 3\mathrm{Fe}(l)+4{\mathrm{CO}}_{2}(g)$ when $4.640\mathrm{kg}$ of ${\mathrm{Fe}}_{3}{O}_{4}$ and $2.520\mathrm{kg}$ of $\mathrm{CO}$ are allowed to react then the amount of iror (in $g$) produced is : [Given: Molar Atomic mass $({\mathrm{gmol}}^{-1}):\mathrm{Fe}=56$ Molar Atomic mass $({\mathrm{gmolm}}^{-1}):O=16$ Molar Atomic mass $({\mathrm{gmolm}}^{-1}):C=12$]

The energy of one mole of photons of radiation of wavelength $300\mathrm{nm}$ is (Given : $h=6.63\times {10}^{-34}Js,{N}_{A}=6.02\times {10}^{23}{\mathrm{mol}}^{-1}c=3\times {10}^{8}m{s}^{-1}$)

The correct order of reduction potentials of the following pairs is A. ${\mathrm{Cl}}_{2}/{\mathrm{Cl}}^{-}$ B. ${I}_{2}/{I}^{-}$ C. ${\mathrm{Ag}}^{+}/\mathrm{Ag}$ D. ${\mathrm{Na}}^{+}/\mathrm{Na}$ E. ${\mathrm{Li}}^{+}/\mathrm{Li}$ Choose the correct answer from the options given below.

Consider the following set of quantum numbers. <table class="pyq-table"><tbody><tr><td></td><td>$n$</td><td>$l$</td><td>${m}_{1}$</td></tr><tr><td>A</td><td>$3$</td><td>$3$</td><td>$-3$</td></tr><tr><td>B</td><td>$3$</td><td>$2$</td><td>$-2$</td></tr><tr><td>C</td><td>$2$</td><td>$1$</td><td>$+1$</td></tr><tr><td>D</td><td>$2$</td><td>$2$</td><td>$+2$</td></tr></tbody></table>The number of correct sets of quantum numbers is

Consider the reaction $4{\mathrm{HNO}}_{3}(l)+3\mathrm{KCl}(s)\rightarrow {\mathrm{Cl}}_{2}(g)+\mathrm{NOCl}(g)+2{H}_{2}O(g)+3{\mathrm{KNO}}_{3}(s)$ The amount of ${\mathrm{HNO}}_{3}$ required to produce$110.0g$ of ${\mathrm{KNO}}_{3}$ is (Given : Atomic masses of $H,O,N$ and $K$ are $1,16,14$ and $39$, respectively.)