At 298 K, a certain buffer solution contains equal concentrations of \(X^-\) and HX, Kb for \(X^-\) is \(10^{-10}\). What is the pH of this buffer solution?
1. 4
2. 6
3. 2
4. 10
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The correct IUPAC name of the following compound is :

1. 3-methyl-5-ethylheptane
2. 3-ethyl-5-methylheptane
3. 3,5-diethylhexane
4. 2,4-diethylhexane
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73. The following two reactions give the same foul smelling product Z.

X and Z, respectively, are :
1. \(X = AgCN; Z = C_2H_5CN\)
2. \(X = KCN; Z = C_2H_5CN\)
3. \(X = KCN; Z = C_2H_5NC\)
4. \(X = AgCN; Z = C_2H_5NC\)
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Mixture of chloroform and acetone forms a solution with negative deviation from Raoult's law due to:
1. increase in escaping tendency of molecules of each component.
2. repulsive forces.
3.  stronger intermolecular forces between chloroform molecules than those between chloroform and acetone molecules.
4. formation of hydrogen bonding between acetone and chloroform.
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Identify the correct statements:
A. The molality of 2.5 g of ethanoic acid (Molar mass : 60 g mol-1) in 75 g of benzene solution is 0.556 m.
B. The molarity of a solution containing 5 g of NaOH (molar mass : 40 g mol-1) in 450 mL of solution is 0.278 M at 298 K.
C. Aquatic species are more comfortable in cold water.
D. The solubility of gas increases with decrease in pressure.
E. For a binary mixture of A and B, the number of moles of A and B are nA and nB respectively. The mole fraction of B will be \(x_B = \frac{n_A}{n_A + n_B}\).


Choose the correct answer from the options given below:
1. A and B only
2. A, D and E only
3. A, B and C only
4. A and C only
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Identify the incorrect statement from the following :
1.  ECl3 (E = B and Al) is a monomer when E = B and a dimer when E = Al.
2. The order of catenation property of Group 14 elements is C ≫ Si > Ge ≈ Sn.
3. Oxygen exhibits only -2 oxidation state.
4. Carbon has the ability to form π-π multiple bond with itself.
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The correct formal charges on oxygen atoms numbered 2, 1 and 3 respectively are:
1. − 1, 0, + 1
2. 0, 0, 0
3. 0, + 1, − 1
4. + 1, 0, − 1
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At a certain temperature, T (K), during a process, 500 J is absorbed by the system and work of 200 J is done by the system. Then change in internal energy of the system is:
1. 500 J
2. 400 J
3. 300 J
4. 700 J
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Consider the following reaction:
\(2A (g) + B (g) \rightarrow 2D (g)\)
\(\Delta U^{\ominus} = -10\text{ kJ mol}^{-1}\) and \(\Delta S^{\ominus} = -44\text{ J K}^{-1}\) at \(298\text{ K}\).
Identify the correct option with \(\Delta G^{\ominus}\) for the reaction and spontaneity of the reaction at \(298\text{ K}\).
(Given: \(R = 8.31\text{ J mol}^{-1}\text{K}^{-1}\))
1. \(-0.63568\text{ kJ mol}^{-1}\), spontaneous
2. \(+0.63568\text{ kJ mol}^{-1}\), non-spontaneous
3. \(-1.635\text{ kJ mol}^{-1}\), spontaneous
4. \(+1.635\text{ kJ mol}^{-1}\), non-spontaneous
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Select the reagents that reduce nitriles to primary amines:
A. (i) \(LiAlH_4\); (ii) \(H_2O\)
B. \(Sn + HCl\)
C. \(H_2/Ni\)
D. \(Na(Hg)/C_2H_5OH\)
E. \(Br_2/aq. NaOH\)

Choose the correct answer from the options given below:
1. A, C and D only
2. A, B and C only
3. B, D and E only
4. A, D and E only
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