JEE (Advanced) 2018 Paper-1

Instructions

For the following questions answer them individually

Question 21

Based on the compounds of group 15 elements, the correct statement(s) is (are)

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Question 22

In the following reaction sequence, the correct structure(s) of X is (are)

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Question 23

The reaction(s) leading to the formation of 1, 3, 5-trimethylbenzene is (are)

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Question 24

A reversible cyclic process for an ideal gas is shown below. Here, P, V, and T are pressure, volume and temperature, respectively. The thermodynamic parameters q, w, H and U are heat, work, enthalpy and internal energy, respectively.


The correct options(s) is (are)

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Instructions

For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer.

Question 25

Among the species given below, the total number of diamagnetic species is ___
H atom , $$NO_{2}$$ manometer, $${O_{2}}^{-}$$ (superoxide),dimeric sulphur in vapour phase , $$Mn_{3}O_{4}, (NH_{4})_{2}[FeCl_{4}],(NH_{4})_{2}[NiCl_{4}],K_{2}MnO_{4}, K_{2}CrO_{4}$$

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Question 26

The ammonia prepared by treating ammonium sulphate with calcium hydroxide is completely used by $$NiCl_{2}.6H_{2}O$$ tp form a stable coordination compound. Assume that bothย the reactions are 100% complete. If 1584 g of ammonium sulphate and 952 g of $$NiCl_{2} 6H_{2}O$$ are used in the preparation, the combined weight (in grams) of gypsum and the nickel-ammonia coordination compound thus produced is ____
(Atomic weights in g $$mol^{-1} : H = 1, N = 14, O = 16, S = 32, Cl = 35.5, Ca = 40, Ni = 59$$)

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Question 27

Consider an ionic solid MX with NaCl structure. Construct a new structure (Z) whose unit
cell is constructed from the unit cell of MX following the sequential instructions given
below. Neglect the charge balance.
(i) Remove all the anions (X) except the central one
(ii) Replace all the face centered cations (M) by anions (X)
(iii) Remove all the corner cations (M)
(iv) Replace the central anion (X) with cation (M)
The value of $$\left(\frac{number of anions}{number of cations}\right)$$ in Z is ..........

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Question 28

For the electrochemical cell,
$$Mg(s) \mid Mg^{2+}$$ (aq,1M) $$\parallel Cu^{2+}$$ (aq,1M) $$\mid Cu(s)$$ the standard emf of the cell is 2.70 V at 300 K. When the concentration of $$Mg^{2+}$$ is changed to ๐’™ M, the cell potential changes to 2.67 V at 300 K. The value of ๐’™ is ____.
(given $$\frac{F}{R} = 11500 KV^{-1}$$, where F is the Faraday constant and ๐‘… is the gas constant, $$\ln(10) = 2.30)$$

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Question 29

A closed tank has two compartments A and B, both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure 1). If the old partition is replaced by a new partition which can slide and conduct heat but does NOT allow the gas to leak across (Figure 2), the volume (in $$m^{3}$$) of the compartment A after the system attains equilibrium is ____.

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Question 30

Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions $$x_{๐ด} and x_{๐ต}$$, respectively, has vapour pressure of 22.5 Torr. The value of $$\frac{x_{A}}{x_{B}}$$ in the new solution is ____.
(given that the vapour pressure of pure liquid A is 20 Torr at temperature T)

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