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The radioactive decay, ${}_{83}B{i}^{211}\to {}_{81}T{l}^{207},$ takes place in 10 L closed container at $0^{\circ }C.$ Half - life of ${}_{83}B{i}^{211}$ is 2.15 min. Starting with 1 mole of ${}_{83}B{i}^{211}$, the pressure developed in the container after 4.30 min. will be

The order of -I power (-ve inductive effect ) of the following functional groups will be:

(i) $-S{O}_{3}H$



(ii) $-Cl$



(iii) $-N{H}_2$



(iv) $-H$

Which of the following is the most stable carbocation ?

How many number of moles of photon would contain sufficient energy to raise the temperature of 225 g of water from ${21}^{o}C$ to ${96}^{o}C$?

The specific heat of water is 4.18 $J{g}^{-1}{K}^{-1}$ and the frequency of light radiation used is $2.45\times {10}^9{s}^{-1}$.

[Given: Energy required to raise the temperature = mass x specific heat x ΔT]

The specific heat of a metal is 0.16 its approximate atomic weight would be

Calculate the volume of $6.8\text{g}$ of $N{H}_3$ at standard temperature and pressure.

Choose the Lewis acids

The given graph in Fig represents the variation of Z $(compressibilityfactor=\frac{pV}{nRT}$) vs.P , for the three real gases A,B and C.identify the only incorrect statement

$1-\frac{pb}{RT}$

An isotone of $G{e}_{32}^{76}$ is:

Consider the following statements. The Van der Walls parameters are given as:

Select the correct alternates.

A gaseous reaction A(g) $\leftrightarrow$ 2B(g) + C(g) is found to be of first order. If the reaction is started with p_A = 90 mm Hg, the total pressure after 10 min is found to be 180 mm Hg. The rate constant of the reaction is

Which has aromatic ring in complex?

If the equilibrium constant for $N_2\left(g\right)+O_2\left(g\right)\rightleftharpoons 2NO\left(g\right)$ is $K$, the equilibrium constant for $\frac{1}{2}{N}_2\left(g\right)+\frac{1}{2}{O}_2\left(g\right)\rightleftharpoons NO\left(g\right)$ will be:

Which is the monomer of neoprene in the following ?

Which of the following are the methods of formation of carbene?

The volume of a gas at STP is $1.12\times {10}^{-7}\text{cc}$. The number of molecules in it will be:

The $\Delta H$ and $\Delta S$ for a reaction at one atmospheric pressure are +30.558 kJ and 0.066 k J $k^{-1}$ respectively. The temperature at which the free energy change will be zero and below this temperature the nature of reaction would be:

Calculate $△H_r^o$ for the reaction $C{H}_{2}C{l}_2\left(g\right)\to C\left(g\right)+2H\left(g\right)+2Cl\left(g\right).$

The average bond enthalpies of C - H and C - Cl bonds are $414kJmo{l}^{-1}$ and $330kJmo{l}^{-1}.$

Green chemistry means

Find the equivalent weight of $K_{2}C{r}_2{O}_7^{2-}$ in the given reaction, if the molar mass of $C{r}_2{O}_7^{2-}$ is 'M' ?

$K_{2}C{r}_2{O}_7^{2-}\stackrel{H^{+}}{\to }C{r}^{3+}$

The increasing order of bond angles in $H_{2}S,N{H}_3,B{F}_3$ and $Si{H}_4$ is:

Among the following metal carbonyls, the $CO$ bond order is the lowest in:

The osmotic pressure of which solution is maximum (consider that deci-molar solution of each is 90% dissociated)

Each of the following options contains a set of few molecules, Identify the option(s) where all the molecules possess permanent dipole moment at room temperature.

The root mean square velocity of one mole of a monoatomic gas having molar mass $M$ is $u_{\text{rms}}$. The relation between the average kinetic energy $\left(E\right)$ of the gas and $u_{\text{rms}}$ is:

12 g of urea is dissolved in 1 litre of water and 68.4 g of sucrose is dissolved in 1 litre of water.The lowering of vapour pressure of the first case is:

Total number of possible isomers for $\left[Cu\right(N{H}_3{)}_4\left]\right[PtC{l}_4]$ is:

A hydrocarbon 'X' on reaction with $B{r}_2$ in presence of $CC{l}_4$ decolourises bromine water.

Also 'X' reacts with $KMn{O}_4$ in the presence of an acid to give two moles of the same carboxylic acid.

The structure of 'X' is:

100 ml of 1M NaOH and 100ml of $Xg{L}^{-1}{H}_{2}S{O}_4$, both being at the same temperature, are mixed. The highest rise in temperature would occur when X is ?

What volume of air containing $21$% of oxygen by volume is required to completely burn one kg of carbon that contains $15$% of non-combustible substance?

For a molecule of benzene, $n=2.76\times {10}^{19}{\text{cm}}^{-3}$ and mean free path $\lambda =2.2\times {10}^{-10}\text{m}$. Calculate diameter of benzene molecule.

Calculate the percentage of free $S{O}_3$ in an oleum that is labelled $118\%H_{2}S{O}_4$

Which one of the following mixed sulphates is not an alum ?

Total number of lone pairs in $XeO{F}_4$ is:

An acid type indicator, Hln differs in colour from its conjugate base ($I{n}^{-}$). The human eye is sensitive to colour differences only when the ratio $\frac{\left[I{n}^{-}\right]}{\left[Hln\right]}$ is greater than 10 or smaller than 0.1. What would be the minimum change in pH of the solution to observe a complete colour change ($K_a$ = $1.0\times {10}^{-5}$) ?

When mercuric iodide is added to the aqueous solution of potassium iodide,

Find the total number of electrons present in 40 millimoles of $BaS{O}_4.$ (atomic number of Ba = 56)

CsBr crystal has bcc structure. It has an edge length of $4.3\stackrel{\circ }{A}$. The shortest interionic distance between $C{s}^{+}$ and $B{r}^{-}$ ions is

In Lassaigne’s test for sulphur, the purple colour formed after the addition of sodium nitroprusside is due to:

For the reaction :

$2N_2{O}_5\to 4N{O}_2+O_2$

Rate and rate constant $1.02\times {10}^{-4}$ and $3.4\times {10}^{-5}{s}^{-1}$ respectively, then concentration of $N_2{O}_5$ at that time will be

Silver benzoate reacts with bromine in CCl₄ refluxing to form

The number of spectral lines that are possible when electrons in the $7^{th}$ shell in a sample of hydrogen atoms return to the $3^{rd}$ shell is:

Calculate the molarity of a solution having 3.42 g sucrose in 500 mL solution.

Which of the following structures contain active methylene group?

Condition for maximum yield of $C_2{H}_{5}Cl$ is

Which carbocation is the most stable?

Which of the following will be the correct product (P) for the given reaction?