JEE (Advanced) 2021 Paper-1

Instructions

For the following questions answer them individually

Question 41

For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown for clarity), the packing fraction is approximately
$$\left(packing fraction = \frac{packing efficiency}{100}\right)$$

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Question 42

The calculated spin only magnetic moments of $$[Cr(NH_3)_6]^{3+}$$ and $$[CuF_6]^{3-}$$ in BM, respectively, are (Atomic numbers of Cr and Cu are 24 and 29, respectively)

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Instructions

Question Stem
For the following reaction scheme, percentage yields are given along the arrow:

x g and y g are mass of R and U, respectively.
(Use: Molar mass (in g mol$$^{-1}$$) of H, C and O as 1, 12 and 16, respectively)

Question 43

The value of x is ___.

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Question 44

T he value of y is ___.

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Instructions

Question Stem
For the reaction, $$X(s) \rightleftharpoons Y(s) + Z(g)$$, the plot of $$\ln \frac{p_z}{p^{\ominus}}$$ Versus $$\frac{10^4}{T}$$ is given below (in solid line), where $$p_z$$ is the pressure (in bar) of the gas Z at temperature T and $$p^{\ominus} = 1$$ bar.

(Given, $$\frac{d(\ln K)}{d\left(\frac{1}{T}\right)} = -\frac{\triangle H^{\ominus}}{R}$$, where the equilibrium constant, $$K = \frac{p_z}{p^{\ominus}}$$ and the gas constant, R = 8.314 J K$$^-1$$ mol$$^-1$$)

Question 45

The value of standard enthalpy, $$\triangle H^{\ominus}$$ (in kJ mol$$^{-1}$$) for the given reaction is ___.

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Question 46

The value of $$\triangle S^{\ominus}$$ (in JK$$^{-1}$$ mol$$^{-1}$$) for the given reaction, at 1000 K is ___.

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Question Stem
The boiling point of water in a 0.1 molal silver nitrate solution (solution A) is x $$^\circ$$C. To this solution A, an equal volume of 0.1 molal aqueous barium chloride solution is added to make a new solution B. The difference in the boiling points of water in the two solutions A and B is y $$\times$$ 10$$^{-2}$$ $$^\circ$$C.
(Assume: Densities of the solutions A and B are the same as that of water and the soluble salts dissociate completely.
Use: Molal elevation constant (Ebullioscopic Constant), $$K_b$$ = 0.5 K kg mol$$^{-1}$$; Boiling point of pure water as 100 $$^\circ$$C.)

Question 47

The value of x is ___.

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Question 48

The value of $$\mid y \mid$$ is ___.

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Instructions

For the following questions answer them individually

Question 49

Given:

The compound(s), which on reaction with $$HNO_3$$ will give the product having degree of rotation, $$[\alpha]_D = −52.7^\circ$$ is(are)

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Question 50

The reaction of Q with PhSNa yields an organic compound (major product) that gives positive Carius test on treatment with Na2O2 followed by addition of $$BaCl_2$$. The correct option(s) for Q is(are)

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