JEE (Advanced) 2022 Paper-1

Instructions

For the following questions answer them individually

JEE (Advanced) 2022 Paper-1 - Question 51


Match the rate expressions in LIST-I for the decomposition of X with the corresponding profiles provided in LIST-II. $$X_s$$ and k constants having appropriate units.

LIST-ILIST-II
(I) rate = $$\frac{k[X]}{X_s + [X]}$$, under all possible initial concentration of X(P) image
(II) rate = $$\frac{k[X]}{X_s + [X]}$$, where initial concentration of X are much less than $$X_s$$(Q) image
(III) rate = $$\frac{k[X]}{X_s + [X]}$$, where initial concentration of X are much higher than $$X_s$$(R) image
(IV) rate = $$\frac{k[X]^2}{X_s + [X]}$$, where initial concentration of X is much higher than $$X_s$$(S)image
(T) image

JEE (Advanced) 2022 Paper-1 - Question 52


LIST-I contains compounds and LIST-II contains reaction

LIST-ILIST-II
(I) H$$_2$$O$$_2$$(P) Mg(HCO$$_3$$)$$_2$$ + Ca(OH)$$_2$$ $$\to$$
(II) Mg(OH)$$_2$$(Q) BaO$$_2$$ + H$$_2$$SO$$_4$$ $$\to$$
(III) BaCl$$_2$$(R) Ca(OH)$$_2$$ + MgCl$$_2$$ $$\to$$
(IV) CaCO$$_3$$(S) BaO$$_2$$ + HCl $$\to$$
(T) Ca(HCO$$_3$$)$$_2$$ + Ca(OH)$$_2$$ $$\to$$

Match each compound in LIST-I with its formation reaction(s) in LIST-II, and choose the correct option

JEE (Advanced) 2022 Paper-1 - Question 53


LIST-I contains metal species and LIST-II contains their properties.

LIST-ILIST-II
(I) $$[Cr(CN)_6]^{4-}$$(P) $$t_{2g}$$ orbitals contain 4 electrons
(II) $$[RuCl_6]^{2-}$$(Q) $$\mu$$(spin-only) = 4.9 BM
(III) $$[Cr(H_2O)_6]^{2+}$$(R) low spin complex ion
(IV) $$[Fe(H_2O)_6]^{2+}$$(S) metal ion in 4+ oxidation state
(T) $$d^4$$ species

[Given : Atomic number of Cr = 24, Ru = 44, Fe = 26]

Match each metal species in LIST-I with their properties in LIST-II, and choose the correct option

JEE (Advanced) 2022 Paper-1 - Question 54


Match the compounds in LIST-I with the observation in LIST-II, and choose the correct option.

LIST-ILIST-II
(I) Aniline(P) Sodium fusion extract of the compound on boiling with FeSO$$_4$$, followed by acidification with conc. H$$_2$$SO$$_4$$, gives Prussian blue color.
(II) o-Cresol(Q) Sodium fusion extract of the compound on treatment with sodium nitroprusside gives blood red color.
(III) Cysteine(R) Addition of the compound to a saturated solution of NaHCO$$_3$$ results in effervescence.
(IV) Caprolactam(S) The compound reacts with bromine water to give a white precipitate.
(T) Treating the compound with neutral FeCl$$_3$$ solution produces violet color.
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