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NTA JEE Main 27th August 2021 Shift 2 - Chemistry

For the following questions answer them individually

The correct order of ionic radii for the ions, P$$^{3-}$$, S$$^{2-}$$, Ca$$^{2+}$$, K$$^+$$, Cl$$^-$$ is:

Choose the correct statement from the following:

Lyophilic sols are more stable than lyophobic sols because:

Match List-I with List-II:
List-I (Name of ore/mineral)     List-II (Chemical formula)
(a) Calamine                             (i) ZnS
(b) Malachite                            (ii) FeCO$$_3$$
(c) Siderite                              (iii) ZnCO$$_3$$
(d) Sphalerite                           (iv) CuCO$$_3$$.Cu(OH)$$_2$$
Choose the most appropriate answer from the options given below:

Given below are two statements:
Statement I : Ethyl pent-4-yn-oate on reaction with CH$$_3$$MgBr gives a 3°-alcohol.
Statement II : In this reaction one mole of ethyl pent-4-yn-oate utilizes two moles of CH$$_3$$MgBr.
In the light of the above statements, choose the most appropriate answer from the options given below:

Which one of the following reactions will not yield propanoic acid?

Hydrolysis of sucrose gives:

The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength of 1000 nm, in 0.1 second is $$x \times 10^{13}$$. The value of x is _________. (Nearest integer)
(h = $$6.63 \times 10^{-34}$$ Js, c = $$3.00 \times 10^8$$ ms$$^{-1}$$)

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Two flasks I and II shown below are connected by a valve of negligible volume.


When the valve is opened, the final pressure of the system in bar is $$x \times 10^{-2}$$. The value of x is _________. (Integer answer)
[Assume : Ideal gas; 1 bar = $$10^5$$ Pa; Molar mass of N$$_2$$ = 28.0 mol$$^{-1}$$; R = 8.31 J mol$$^{-1}$$ K$$^{-1}$$]

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Data given for the following reaction is as follows:
FeO$$_{(s)}$$ + C$$_{(graphite)}$$ $$\rightarrow$$ Fe$$_{(s)}$$ + CO$$_{(g)}$$
Substance                $$\Delta_f H°$$(kJ mol$$^{-1}$$)                               $$\Delta S°$$(J mol$$^{-1}$$ K$$^{-1}$$)
FeO$$(s)$$                                          -266.3                                        57.49
C$$(graphite)$$                                  0                                              5.74
Fe$$(s)$$                                              0                                               27.28
CO$$(g)$$                                           -110.5                                         197.6
The minimum temperature in K at which the reaction becomes spontaneous is _________. (Integer answer)

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When 5.1 g of solid NH$$_4$$HS is introduced into a two litre evacuated flask at 27°C, 20% of the solid decomposes into gaseous ammonia and hydrogen sulphide. The K$$_p$$ for the reaction at 27°C is $$x \times 10^{-2}$$. The value of x is _________. (Integer answer)
[Given 1R = 0.082 L atm K$$^{-1}$$ mol$$^{-1}$$]

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40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is _________ K. (Nearest integer)
[Given : K$$_f$$ = 1.86 K kg mol$$^{-1}$$; Density of water = 1.00 g cm$$^{-3}$$; Freezing point of water = 273.15 K]

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The resistance of conductivity cell with cell constant 1.14 cm$$^{-1}$$, containing 0.001M KCl at 298 K is 1500$$\Omega$$. The molar conductivity of 0.001M KCl solution at 298 K in S cm$$^2$$ mol$$^{-1}$$ is _________. (Integer answer)

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The first order rate constant for the decomposition of CaCO$$_3$$ at 700 K is $$6.36 \times 10^{-3}$$ s$$^{-1}$$ and activation energy is 209 kJ mol$$^{-1}$$. Its rate constant (in s$$^{-1}$$) at 600 K is $$x \times 10^{-6}$$. The value of x is _________. (Nearest integer)
[Given R = 8.31 J K$$^{-1}$$ mol$$^{-1}$$; log $$6.36 \times 10^{-3}$$ = -2.19, $$10^{-4.79}$$ = $$1.62 \times 10^{-5}$$]

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