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GATE CY
List of top Questions asked in GATE CY
In thermogravimetric analysis, 12.45 mg of CuSO
4
.5H
2
O was subjected to heating under N
2
atmosphere. At a particular temperature, there was a weight loss of 3.6 mg. The number of water molecule(s) lost per formula unit is _____.
(Given molar mass (in g mol
-1
) of H = 1.0, O = 16.0, S = 32.0, and Cu = 63.5)
(rounded off to the nearest integer)
GATE CY - 2024
GATE CY
Physical Chemistry
Thermodynamic functions and their relationships
The partial vapor pressure of 0.1 molal solution of B in liquid A is 60 kPa at 300 K. The partial vapor pressure (in kPa) of a solution containing B with mole fraction of 0.1 in liquid A at 300 K is ______.
(Assume the solute B obeys Henry's law. The molar mass of A is 80 g mol
-1
.)
(rounded off to three decimal places)
GATE CY - 2024
GATE CY
Physical Chemistry
Ideal and Non-ideal solutions
1
H NMR spectrum of a mixture containing CH
3
Br (x mol) and (CH
3
)
3
CBr (y mol) shows two singlets at 2.7 ppm and 1.8 ppm, with the relative ratio of 3:1 (integration value), respectively. The value of x/y is ______.
(rounded off to the nearest integer)
GATE CY - 2024
GATE CY
Inorganic Chemistry
NMR and ESR spectroscopy
Critical micellar concentration of a surfactant is 0.008 M in water at 25 °C. If the aggregation number of the micelles is 80, the concentration of the micelles (in M) present in 0.088 M aqueous solution of the surfactant at 25 °C is
GATE CY - 2024
GATE CY
Physical Chemistry
Colloids
The reaction(s) that yield(s) X as the major product is (are)
GATE CY - 2024
GATE CY
Organic Chemistry
Identification of products, intermediates and isotopic labelling
The order and the number of classes present in a group with the irreducible representations A
1
, A
2
, B
1
, B
2
, E
1
, and E
2
, are, respectively,
GATE CY - 2024
GATE CY
Inorganic Chemistry
Mass spectrometry
The correct statement(s) about
4
D
5/2
state of an atom is (are) :
GATE CY - 2024
GATE CY
Physical Chemistry
Molecular structure and Chemical bonding
The ground state of [Cr(H
2
O)
6
]
2+
is
GATE CY - 2024
GATE CY
Inorganic Chemistry
Coordination chemistry
2 mol of a monoatomic ideal gas with initial volume of 5 L and pressure 10 bar undergoes an irreversible adiabatic expansion against a constant final pressure of 1 bar. The final volume (in L) is _______.
(Given: R = 8.314 × 10
-2
L bar mol
-1
K
-1
)
(rounded off to one decimal place)
GATE CY - 2024
GATE CY
Physical Chemistry
Thermodynamic functions and their relationships
Consider the following
1
H-NMR (400 MHz, DMSO-d
6
) data of a compound :
δ in ppm: 3.85 (s, 6H), 6.73 (t, J = 2.2 Hz, 1H), 7.1 (d, J = 2.2 Hz, 2H), and 13.05 (brs, 1H).
The compound is
GATE CY - 2024
GATE CY
Organic Chemistry
NMR and ESR spectroscopy
In aqueous solution of K
4
[Fe(CN)
6
], the allowed transition(s) is (are)
GATE CY - 2024
GATE CY
Inorganic Chemistry
Coordination chemistry
The molecule XY
2
is microwave active and its vibration-rotation spectrum shows only P and R transitions. In the correct structure,
GATE CY - 2024
GATE CY
Physical Chemistry
Atomic spectroscopy
The following figure shows an experimental liquid-liquid phase diagram of phenol and water at the vapor pressure of the system. The total amount of phenol and water (in mol) present in the phenol-rich phase when 5 mol of water was shaken with 5 mol of phenol at 40 °C is _______.
(rounded off to one decimal place)
GATE CY - 2024
GATE CY
Physical Chemistry
Phase rule
In the given reaction sequence, the amount of R produced (in g) is ______.
(Given: molar mass (in g mol
-1
) of H = 1, C = 12, N = 14, O = 16, and S = 32)
(rounded off to two decimal places)
GATE CY - 2024
GATE CY
Organic Chemistry
Basic mechanistic concepts
The correct statement(s) related to an ensemble is (are) :
GATE CY - 2024
GATE CY
Physical Chemistry
Thermodynamic functions and their relationships
The reaction of XeF
2
with HN(SO
2
F)
2
at 273 K in CF
2
Cl
2
solvent yields
GATE CY - 2024
GATE CY
Inorganic Chemistry
Theories of bonding
Φ
1
and Φ
2
are normalised eigenfunctions of a Hermitian operator.
|Ψ〉 = 3i |Φ
1
〉 + 2|Φ
2
〉 and |X〉 = -2i |Φ
1
〉 + 5 |Φ
2
〉
The value of 〈Ψ|X〉 + 〈X|Ψ〉 is _______.
(rounded off to the nearest integer)
GATE CY - 2024
GATE CY
Physical Chemistry
Postulates of quantum mechanics
The wave function of a particle in a cubic box (of side L) is given by
\(\psi(x,y,z)=\sqrt{32/L^3}\sin\frac{\pi x}{L}\cos\frac{\pi x}{L}\sin\frac{2\pi y}{L}\sin\frac{\pi z}{L.}\)
.
The ratio of the energy of the state corresponding to the above wave function to the ground state energy is ________.
(rounded off to the nearest integer)
GATE CY - 2024
GATE CY
Physical Chemistry
Postulates of quantum mechanics
The turnover frequency (in h
-1
) of a reaction where 5 mol% of a catalyst is required for 90% conversion in 3 h is ______.
(rounded off to the nearest integer)
GATE CY - 2024
GATE CY
Physical Chemistry
Catalysis concepts and enzyme catalysis
Among the following, the correct statement(s) is (are) :
GATE CY - 2024
GATE CY
Physical Chemistry
Molecular structure and Chemical bonding
Among the following, the correct statement(s) is (are) :
GATE CY - 2024
GATE CY
Physical Chemistry
Molecular structure and Chemical bonding
ΔS° (in J mol
-1
K
-1
) for the given reaction at 298 K is ________.
[Cu(H
2
O)6]
2+
+ en ⇌ [Cu(H
2
O)
4
(en)]
2+
+ 2H
2
O
(Given: log K
1
= 10.6, where K
1
is the equilibrium constant. ΔH° =-54 kJ mol
-1
and R = 8.314 J mol
-1
K
-1
)
(rounded off to two decimal places)
GATE CY - 2024
GATE CY
Physical Chemistry
Thermodynamic functions and their relationships
The correct statement(s) regarding P, Q, R, and S is (are) :
GATE CY - 2024
GATE CY
Organic Chemistry
Basic mechanistic concepts
The correct statement(s) about the relationship for the H-atoms in the following compounds is (are) :
GATE CY - 2024
GATE CY
Organic Chemistry
Chirality & symmetry of organic molecules with or without chiral centres
Consider the following reaction sequence. The correct option(s) is (are)
GATE CY - 2024
GATE CY
Organic Chemistry
Concepts of multistep synthesis
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