Engineering Entrance
Q. What is the boiling point trend of carboxylic acids compared to alcohols?
-
A.
Higher
-
B.
Lower
-
C.
Same
-
D.
Depends on molecular weight
Solution
Carboxylic acids have higher boiling points than alcohols due to stronger hydrogen bonding.
Correct Answer: A — Higher
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Q. What is the boiling point trend of primary, secondary, and tertiary amines?
-
A.
Primary > Secondary > Tertiary
-
B.
Tertiary > Secondary > Primary
-
C.
Secondary > Primary > Tertiary
-
D.
All have the same boiling point
Solution
Primary amines have higher boiling points due to stronger hydrogen bonding compared to secondary and tertiary amines.
Correct Answer: A — Primary > Secondary > Tertiary
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Q. What is the bond angle in a methane (CH4) molecule? (2023) 2023
-
A.
90 degrees
-
B.
109.5 degrees
-
C.
120 degrees
-
D.
180 degrees
Solution
The bond angle in methane (CH4) is approximately 109.5 degrees due to its tetrahedral geometry.
Correct Answer: B — 109.5 degrees
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Q. What is the capacitance of a capacitor that stores 10 µC of charge at a potential difference of 5 V?
-
A.
2 µF
-
B.
5 µF
-
C.
10 µF
-
D.
20 µF
Solution
C = Q/V = 10 × 10^-6 C / 5 V = 2 × 10^-6 F = 2 µF.
Correct Answer: A — 2 µF
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Q. What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz? (2016)
-
A.
265.26Ω
-
B.
159.15Ω
-
C.
100Ω
-
D.
50Ω
Solution
Capacitive reactance Xc = 1 / (2πfC) = 1 / (2π * 60 * 10e-6) = 265.26Ω.
Correct Answer: A — 265.26Ω
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Q. What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
-
A.
318.31 ohms
-
B.
159.15 ohms
-
C.
31.83 ohms
-
D.
15.92 ohms
Solution
Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.
Correct Answer: A — 318.31 ohms
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Q. What is the cell potential of a Daniell cell at standard conditions?
-
A.
1.10 V
-
B.
1.96 V
-
C.
0.76 V
-
D.
0.34 V
Solution
The standard cell potential of a Daniell cell is 1.10 V.
Correct Answer: A — 1.10 V
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Q. What is the cell potential of a galvanic cell with E° = 1.5 V and Q = 10?
-
A.
1.2 V
-
B.
1.0 V
-
C.
1.3 V
-
D.
1.4 V
Solution
Using the Nernst equation, E = E° - (RT/nF)lnQ, we find E ≈ 1.0 V.
Correct Answer: B — 1.0 V
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Q. What is the change in internal energy (ΔU) for an ideal gas that expands isothermally? (2022)
-
A.
0
-
B.
nRT
-
C.
nRΔT
-
D.
PV
Solution
For an isothermal process, the change in internal energy ΔU = 0 for an ideal gas.
Correct Answer: A — 0
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Q. What is the change in internal energy for an ideal gas that expands isothermally? (2019)
-
A.
nRT
-
B.
0
-
C.
-nRT
-
D.
nR(Tf - Ti)
Solution
For an isothermal process, the change in internal energy (ΔU) for an ideal gas is zero, as ΔU depends only on temperature.
Correct Answer: B — 0
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Q. What is the change in internal energy of a system if 300 J of heat is added and 100 J of work is done by the system? (2021)
-
A.
200 J
-
B.
300 J
-
C.
400 J
-
D.
500 J
Solution
Using the first law of thermodynamics: ΔU = Q - W = 300 J - 100 J = 200 J.
Correct Answer: A — 200 J
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Q. What is the change in internal energy of an ideal gas when it expands isothermally? (2021)
-
A.
Zero
-
B.
Positive
-
C.
Negative
-
D.
Depends on the gas
Solution
In an isothermal process for an ideal gas, the internal energy remains constant, hence the change in internal energy is zero.
Correct Answer: A — Zero
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Q. What is the change in internal energy of an ideal gas when it is heated at constant volume? (2021) 2021
-
A.
Zero
-
B.
Equal to heat added
-
C.
Equal to work done
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D.
Equal to pressure times volume
Solution
At constant volume, the change in internal energy (ΔU) is equal to the heat added (Q). Therefore, ΔU = Q.
Correct Answer: B — Equal to heat added
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Q. What is the chemical formula for sodium chloride? (2023) 2023
-
A.
NaCl
-
B.
Na2Cl
-
C.
NaCl2
-
D.
Na2Cl2
Solution
The chemical formula for sodium chloride is NaCl.
Correct Answer: A — NaCl
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Q. What is the chemical formula for table salt? (2019)
-
A.
NaCl
-
B.
KCl
-
C.
CaCl2
-
D.
MgCl2
Solution
Table salt is chemically known as sodium chloride, which has the formula NaCl.
Correct Answer: A — NaCl
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Q. What is the coefficient of x^0 in the expansion of (2x - 3)^5? (2022)
-
A.
-243
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B.
243
-
C.
-81
-
D.
81
Solution
The constant term is C(5,5)(-3)^5 = -243.
Correct Answer: A — -243
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Q. What is the coefficient of x^1 in the expansion of (x + 1)^10? (2021)
Solution
The coefficient of x^1 is C(10,1)(1)^9 = 10.
Correct Answer: A — 10
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Q. What is the coefficient of x^1 in the expansion of (x - 1)^5?
Solution
The coefficient of x^1 is given by 5C1 * (-1)^4 = 5 * 1 = 5.
Correct Answer: A — -5
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Q. What is the coefficient of x^2 in the expansion of (x + 5)^4?
-
A.
50
-
B.
100
-
C.
150
-
D.
200
Solution
The coefficient of x^2 is C(4,2) * (5)^2 = 6 * 25 = 150.
Correct Answer: B — 100
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Q. What is the coefficient of x^2 in the expansion of (x - 2)^5?
-
A.
-40
-
B.
-20
-
C.
20
-
D.
40
Solution
The coefficient of x^2 is given by 5C2 * (-2)^3 = 10 * (-8) = -80.
Correct Answer: A — -40
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Q. What is the coefficient of x^3 in the expansion of (5x + 2)^6? (2000) 2000
-
A.
600
-
B.
720
-
C.
800
-
D.
900
Solution
The coefficient of x^3 is C(6,3) * (5)^3 * (2)^3 = 20 * 125 * 8 = 20000.
Correct Answer: B — 720
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Q. What is the coefficient of x^3 in the expansion of (x + 5)^8?
-
A.
2800
-
B.
3360
-
C.
4000
-
D.
4200
Solution
The coefficient of x^3 is given by 8C3 * (5)^5 = 56 * 3125 = 175000.
Correct Answer: B — 3360
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Q. What is the coefficient of x^3 in the expansion of (x - 1)^5? (2022)
Solution
The coefficient of x^3 is C(5,3)(-1)^2 = 10.
Correct Answer: A — -10
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Q. What is the coefficient of x^5 in the expansion of (x + 4)^7? (2020)
-
A.
672
-
B.
6720
-
C.
1680
-
D.
840
Solution
The coefficient of x^5 is C(7,5) * (4)^2 = 21 * 16 = 336.
Correct Answer: C — 1680
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Q. What is the coefficient of x^6 in the expansion of (x + 3)^8? (2020)
-
A.
56
-
B.
84
-
C.
112
-
D.
128
Solution
The coefficient of x^6 is C(8,6) * (3)^2 = 28 * 9 = 252.
Correct Answer: B — 84
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Q. What is the coefficient of x^6 in the expansion of (x + 3)^9? (2020)
Solution
The coefficient of x^6 is C(9,6)(3)^3 = 84 * 27 = 2268.
Correct Answer: B — 126
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Q. What is the coefficient of x^7 in the expansion of (2x - 3)^8? (2022)
-
A.
-6720
-
B.
6720
-
C.
-3360
-
D.
3360
Solution
The coefficient of x^7 is C(8,7)(2)^7(-3)^1 = 8 * 128 * -3 = -3072.
Correct Answer: A — -6720
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Q. What is the color of the complex [Cu(H2O)6]2+? (2023) 2023
-
A.
Green
-
B.
Blue
-
C.
Red
-
D.
Yellow
Solution
[Cu(H2O)6]2+ is typically blue due to the d-d transitions of the copper ion in an octahedral field.
Correct Answer: B — Blue
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Q. What is the common oxidation state of Alkaline earth metals? (2014) 2014
Solution
Alkaline earth metals commonly exhibit a +2 oxidation state.
Correct Answer: B — +2
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Q. What is the common oxidation state of Group 1 elements? (2021)
Solution
Group 1 elements commonly exhibit an oxidation state of +1.
Correct Answer: C — +1
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