NTA JEE Main 24th February 2021 Shift 1

4.5 g of compound A (M.W. = 90) was used to make 250 mL of its aqueous solution. The molarity of the solution in M is $$x \times 10^{-1}$$. The value of $$x$$ is ______ (Rounded off to the nearest integer)

A proton and a $$Li^{3+}$$ nucleus are accelerated by the same potential. If $$\lambda_{Li}$$ and $$\lambda_p$$ denote the de Broglie wavelengths of $$Li^{3+}$$ and proton respectively, then the value of $$\frac{\lambda_{Li}}{\lambda_p}$$ is $$x \times 10^{-1}$$. The value of $$x$$ is ______ (Rounded off to the nearest integer) [Mass of $$Li^{3+}$$ = 8.3 mass of proton]

For the reaction $$A_g \to B_g$$, the value of the equilibrium constant at 300 K and 1 atm is equal to 100.0. The value of $$\Delta G^o$$ for the reaction at 300 K and 1 atm in J mol$$^{-1}$$ is $$-xR$$, where $$x$$ is ______ (Rounded off to the nearest integer) R = 8.31 J mol$$^{-1}$$ K$$^{-1}$$ and ln10 = 2.3

The stepwise formation of $$[Cu(NH_3)_4]^{2+}$$ is given below:
$$Cu^{2+} + NH_3 \xrightleftharpoons{K_1} [Cu(NH_3)]^{2+}$$ 
$$[Cu(NH_3)]^{2+} + NH_3 \xrightleftharpoons{K_2} [Cu(NH_3)_2]^{2+}$$
$$[Cu(NH_3)_2]^{2+} + NH_3 \xrightleftharpoons{K_3} [Cu(NH_3)_3]^{2+}$$
$$[Cu(NH_3)_3]^{2+} + NH_3 \xrightleftharpoons{K_4} [Cu(NH_3)_4]^{2+}$$
The value of stability constants $$K_1$$, $$K_2$$, $$K_3$$ and $$K_4$$ are $$10^4$$, $$1.58 \times 10^3$$, $$5 \times 10^2$$ and $$10^2$$ respectively. The overall equilibrium constant for dissociation of $$[Cu(NH_3)_4]^{2+}$$ is $$x \times 10^{-12}$$. The value of $$x$$ is ______ (Rounded off to the nearest integer)

At 1990 K and 1 atm pressure, there are equal number of $$Cl_2$$ molecules and Cl atoms in the reaction mixture. The value of $$K_p$$ for the reaction $$Cl_{2g} = 2Cl_g$$ under the above conditions is $$x \times 10^{-1}$$. The value of $$x$$ is ______ (Rounded off to the nearest integer)

The reaction of sulphur in alkaline medium is given below:
$$S_{8s} + a \; OH^-_{aq} \to b \; S^{2-}_{aq} + c \; S_2O^{2-}_{3aq} + d \; H_2O_l$$
The values of 'a' is ______ (Integer answer)

Number of amphoteric compounds among the following is ______
(A) BeO
(B) BaO
(C) $$BeOH_2$$
(D) $$Sr(OH)_2$$

The coordination number of an atom in a body-centered cubic structure is ______
[Assume that the lattice is made up of atoms.]

When 9.45 g of $$ClCH_2COOH$$ is added to 500 mL of water, its freezing point drops by 0.5°C. The dissociation constant of $$ClCH_2COOH$$ is $$x \times 10^{-3}$$. The value of $$x$$ is ______ (off to the nearest integer)
$$K_{f_{H_2O}} = 1.86$$ K kg mol$$^{-1}$$

Gaseous cyclobutene isomerizes to butadiene in a first order process which has a 'K' value of $$3.3 \times 10^{-4}$$ s$$^{-1}$$ at 153°C. The time in minutes it takes for the isomerization to proceed 40% to completion at this temperature is ______ (Rounded off to the nearest integer)