JEE (Advanced) 2024 Paper-2

The compound(s) having peroxide linkage is(are)

To form a complete monolayer of acetic acid on 1 g of charcoal, 100 mL of 0.5 M acetic acid was used. Some of the acetic acid remained unadsorbed. To neutralize the unadsorbed acetic acid, 40 mL of 1 M NaOH solution was required. If each molecule of acetic acid occupies $$P \times 10^{-23}$$ $$m^2$$ surface area on charcoal, the value of P is ________.

[Use given data : Surface area of charcoal = $$1.5 \times 10^2$$ $$m^2 g^{-1}$$; Avogadro's number ($$N_A$$) = $$6.0 \times 10^{23}$$ $$mol^{-1}$$]

Vessel-1 contains $$w_2$$ g of a non-volatile solute X dissolved in $$w_1$$ g of water. Vessel-2 contains $$w_2$$ g of another non-volatile solute Y dissolved in $$w_1$$ g of water. Both the vessels are at the same temperature and pressure. The molar mass of X is 80% of that of Y. The van't Hoff factor for X is 1.2 times of that of Y for their respective concentrations.

The elevation of boiling point for solution in Vessel-1 is ______ % of the solution in Vessel-2.

For a double strand DNA, one strand is given below:

The amount of energy required to split the double strand DNA into two single strands is ______ kcal $$mol^{-1}$$.

[Given: Average energy per H-bond for A-T base pair = 1.0 kcal $$mol^{-1}$$, G-C base pair = 1.5 kcal $$mol^{-1}$$, and A-U base pair = 1.25 kcal $$mol^{-1}$$. Ignore electrostatic repulsion between the phosphate groups.]

A sample initially contains only U-238 isotope of uranium. With time, some of the U-238 radioactively decays into Pb-206 while the rest of it remains undisintegrated.

When the age of the sample is $$P \times 10^8$$ years, the ratio of mass of Pb-206 to that of U-238 in the sample is found to be 7. The value of P is ______.

[Given : Half-life of U-238 is $$4.5 \times 10^9$$ years; $$\log_e 2$$ = 0.693]

Among $$[Co(CN)_4]^{4-}$$, $$[Co(CO)_3(NO)]$$, $$XeF_4$$, $$[PCl_4]^+$$, $$[PdCl_4]^{2-}$$, $$[ICl_4]^-$$, $$[Cu(CN)_4]^{3-}$$ and $$P_4$$ the total number of species with tetrahedral geometry is ______.

An organic compound P having molecular formula $$C_6H_6O_3$$ gives ferric chloride test and does not have intramolecular hydrogen bond. The compound P reacts with 3 equivalents of $$NH_2OH$$ to produce oxime Q. Treatment of P with excess methyl iodide in the presence of KOH produces compound R as the major product. Reaction of R with excess iso-butylmagnesium bromide followed by treatment with $$H_3O^+$$ gives compound S as the major product.

The total number of methyl ($$-CH_3$$) group(s) in compound S is ______.

Sum of number of oxygen atoms in S and T is ______.

The molecular weight of U is ______.

The number of moles of potassium iodide required to produce two moles of P is ______.