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Select the right expression for determining the Packing fraction (PF) of NaCl unit cell (assume an ideal crystal), if the ions along an edge diagonal are absent: (Where $r_{+}$ represents the radius of the cation and $r_{-}$ represents the radius of the anion)

Calcium hydride is:

Match the properties of the species in Column I with the calculated number in Column II.

$\begin{array}{cccc}& \text{Column I}& & \text{Column II}\\ i.& \text{Number of protons in the element with mass number 81}& p.& 50\\ & \text{and having}31.7\%\text{more neutrons than protons}& & \\ ii.& \text{Ionic mass of}{M}^{2+}\text{which is isoelectronic of}C{O}_2\text{and has}& q.& 26\\ & \text{(Z+2) neutrons}.& & \\ iii.& \text{Ionic mass of}{X}^{-}\text{with 17 protons and having}11.1\%& r.& 35\\ & \text{more neutrons than electrons}& & \\ iv.& \text{Atomic number of}{M}^{3+}\text{with mass number 56 and having}& s.& 37\\ & 30.4\%\text{more neutrons than electrons}& & \end{array}$

The volume of gases $N{H}_3$, $C{O}_2$ and $C{H}_4$ adsorbed by one gram of charcoal at 298 K are in

What is valency factor of acids in a given reaction?

The average speed at $T_{1}K$ and most probable speed at $T_{2}K$ of $C{O}_2$ gas is $9\times {10}^4$ cm/sec. The values of $T_1$ and $T_2$ are

The type of isomerism exhibited by the compound with formula $C_4{H}_{10}O$ is

In the compound,$\stackrel{6}{C}{H}_2=\stackrel{5}{C}H-\stackrel{4}{C}{H}_2-\stackrel{3}{C}{H}_2-\stackrel{2}{C}\equiv \stackrel{1}{C}H$, $C_2-C_3$ bond is of :

Ionic radii of

Two nucleotides are linked through

The radioactive decay $B{i}_{83}^{211}\to T{l}_{81}^{207}$, takes place in a $100\text{L}$ closed vessel at ${27}^{\circ }C$. Starting with 2 moles of $B{i}_{83}^{211}$ ($t_{1/2}$ = 130 seconds), the pressure developed in the vessel after 520 seconds will be:

For a dilute solution containing 2.5 g of a non-volatile non-electrolyte solute in 100 g of water, the elevation in boiling point at 1 atm pressure is $2^{\circ }C$. Assuming concentration of solute is much lower than the concentration of solvent, the vapour pressure (mm of Hg) of the solution is (take $K_b$=0.76K kg $mo{l}^{-1}$).

The sketch shows the plot of Z vs P for 1 mole of a hypothetical gas at three distinct

temperatures:



Boyle's temperature is the temperature at which a gas shows ideal behaviour over a

pressure range in the low pressure region. Boyle's temperature $\left(T_b\right)=\frac{a}{Rb}$. If a plot is

obtained at temperatures well below Boyle's temperature, then the curve will show a negative deviation in the low pressure region and a positive deviation in the high pressure

region.



Which of the following is correct?

A reaction in which all reactants are in the same phase is called

Stability of ions of $Ge,Sn,andPb$ will be in the order:

In a collection of H-atoms, all the electrons jump from $n=5$ to the ground level (directly or indirectly) without emitting any line in the Balmer series. The number of different possible radiations is:

All elements in 3rd period have

Find the wavelength of the limiting line in the Lyman series of the hydrogen spectrum? $(R=1.097\times {10}^{-2}{\text{nm}}^{-1})$

Which of the following will be obtained by keeping ether in contact with air for a long time [RPMT 2003]

The initial pressure of a gas is $1\text{atm}$. To compress it to $1/4^{th}$ of its initial volume, what will be the pressure required at constant temperature?

Among the following species, identify the iso-structural pairs.

$N{F}_3,N{O}_3^{-},B{F}_3,H_3{O}^{+},N_{3}H$

In $P_4$ molecule phosphorus atoms are tetrahedrally arranged. The bond angle P-P-P in the molecule is

1.615 g of anhydrous $ZnS{O}_4$ was places in moist air. After a few days, its mass was found to be 2.875g. The molecular formula for hydrated zinc sulphate is

At 300 K and 1 atm, 15 mL of a gaseous hydrocarbon requires 375 mL air containing 20% $O_2$ by volume for complete combustion. After combustion the gases occupy 330 mL. Assuming that the water formed is in liquid form and the volumes were measured at the same temperature and pressure, the formula of the hydrocarbon is:

The minimum energy required by an electron to overcome the attractive forces of the nucleus is $0.6\times {10}^{-19}\text{J}$. What is the maximum kinetic energy of the ejected electron if the material is radiated with a light of wavelength $2210\text{nm}$?

If the enthalpy of hydrogenation of $C_6{H}_6\left(l\right)$ into $C_6{H}_{12}\left(l\right)$ is - 205 kJ and the resonance energy of $C_6{H}_6\left(l\right)$ is -152 kJ/mol then the enthalpy of hydrogenation of cyclohexene is: (Assume $\Delta H_{vap}$ of $C_6{H}_6\left(l\right),C_6{H}_8\left(l\right),C_6{H}_{12}\left(l\right)$ all are equal).

In the Ellingham diagram for oxides, the general trend for the graphs for metal to metal oxide is

Among alkaline earth metals, the element that doesn’t form a salt-like hydride is:

Among the following compounds, the strongest acid is

Sodium metal crystallises in a body-centred cubic lattice with the cell edge a = 4.29 Å . What is the radius of the sodium atom?

Starch
dispersed in hot water is an example of

Time required for 99.9% completion of a first order reaction is nearly ?

The allotrope of carbon which is the best thermal conductor is:

In emulsion, the dispersed phase and dispersion medium are

The concentration of $\left[A{g}^{+}\right]$ ion in a saturated solution of sparingly soluble salt $A{g}_{2}Cr{O}_4$ at equilibrium is $2.0\times {10}^{-4}$. Calculate the value of $K_{sp}$ for $A{g}_{2}Cr{O}_4$

The strength of a bond depends upon

Calcium lactate is a salt of weak acid and represented as $Ca(LaC{)}_2$. A saturated solution of $Ca(LaC{)}_2$ contains $0.13mol$ of salt in $0.50L$ solution. The $pOH$ of solution is 5. Assuming complete dissociation of salt, calculate $K_a$ of lactic acid.

The state of a mole of an ideal gas changed from state A($2p,v$) through four different processes and finally return to initial state A reversibly as shown below.



Calculate the total work done by the system and heat absorbed by the system in the cyclic process respectively.

A complex $PtC{l}_4.5N{H}_3$ shows a molar conductance of $402{\text{ohm}}^{-1}{\text{cm}}^2{\text{mol}}^{-1}$ in water and precipitates 3 moles of $AgCl$ with $AgN{O}_3$ solution. The formula of the complex is:

In a closed vessel, a gas is heated from 300 K to 600 K; the kinetic energy:

Grignard reagents (RMgX) are potential sources of carbanions because of

The correct statement(s) about the following compound

$H_{3}C\left(OH\right)HC-CH=CH-CH\left(OH\right)C{H}_3\left(X\right)$ is/are:

The capacity to bring about
coagulation increases with

The minimum quantity in grams of $H_{2}S$ needed to precipitate $63.5\text{g}$ of $C{u}^{2+}$ ion will be:

(molar mass of $Cu=63.5\text{g/mol}$)



$C{u}^{2+}+H_{2}S\to CuS+2H^{+}$

Three footballs are filled with nitrogen, hydrogen and helium respectively. If the gases leak, then the ratio of the rate of leakage $(r_{N_2}:r_{H_2}:r_{He})$ from the three footballs (at the same time) is:

In an atom, an electron is moving with the speed of 600 $m/s$ have an accuracy of 0.005%. The minimum uncertainity with which the position of the electron can be located is:

$h=6.6\times {10}^{-34}Js,\text{mass of electron},e_m=9.1\times {10}^{-31}kg$

Select the correct statement for non-bonding and anti-bonding orbitals: