Undergraduate
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
Learn More →
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
Learn More →
Q. What is the change in internal energy (ΔU) for an ideal gas during an isothermal process? (2021)
-
A.
ΔU = 0
-
B.
ΔU = nRT
-
C.
ΔU = -nRT
-
D.
ΔU = PV
Solution
In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.
Correct Answer: A — ΔU = 0
Learn More →
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
Learn More →
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
Learn More →
Q. What is the change in internal energy of a gas that absorbs 300 J of heat and does 100 J of work on the surroundings? (2020)
-
A.
200 J
-
B.
300 J
-
C.
400 J
-
D.
500 J
Solution
Change in internal energy (ΔU) = Q - W = 300 J - 100 J = 200 J.
Correct Answer: A — 200 J
Learn More →
Q. What is the change in internal energy of a system if 200 J of heat is added and 50 J of work is done by the system?
-
A.
150 J
-
B.
250 J
-
C.
200 J
-
D.
100 J
Solution
Using the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.
Correct Answer: A — 150 J
Learn More →
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
Learn More →
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
Learn More →
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
-
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
Learn More →
Q. What is the change in oxidation state of manganese in the reaction MnO4- + 8H+ + 5e- → Mn2+ + 4H2O? (2023)
-
A.
+7 to +2
-
B.
+2 to +7
-
C.
0 to +2
-
D.
+4 to +2
Solution
Manganese changes from +7 in MnO4- to +2 in Mn2+, indicating a reduction.
Correct Answer: A — +7 to +2
Learn More →
Q. What is the charge of one coulomb equivalent to in terms of electrons? (2022)
-
A.
6.25 x 10^18 electrons
-
B.
1.6 x 10^-19 electrons
-
C.
3.2 x 10^-19 electrons
-
D.
1.0 x 10^18 electrons
Solution
One coulomb is equivalent to approximately 6.25 x 10^18 electrons.
Correct Answer: A — 6.25 x 10^18 electrons
Learn More →
Q. What is the charge of one coulomb in terms of the number of electrons? (2023)
-
A.
6.25 x 10^18 electrons
-
B.
1.6 x 10^-19 electrons
-
C.
3.2 x 10^-19 electrons
-
D.
1.0 x 10^18 electrons
Solution
One coulomb is equivalent to approximately 6.25 x 10^18 electrons.
Correct Answer: A — 6.25 x 10^18 electrons
Learn More →
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
Learn More →
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
Learn More →
Q. What is the chemical formula for the compound formed between strontium and chlorine? (2019)
-
A.
SrCl
-
B.
SrCl2
-
C.
Sr2Cl
-
D.
Sr2Cl3
Solution
Strontium forms a compound with chlorine as SrCl2, where strontium has a +2 charge and chlorine has a -1 charge.
Correct Answer: B — SrCl2
Learn More →
Q. What is the coefficient of x^0 in the expansion of (2x - 3)^5? (2022)
-
A.
-243
-
B.
243
-
C.
-81
-
D.
81
Solution
The constant term is C(5,5)(-3)^5 = -243.
Correct Answer: A — -243
Learn More →
Q. What is the coefficient of x^0 in the expansion of (3x + 2)^5? (2022)
Solution
The coefficient of x^0 is C(5,5) * (3x)^0 * (2)^5 = 1 * 32 = 32.
Correct Answer: C — 64
Learn More →
Q. What is the coefficient of x^0 in the expansion of (x + 1/x)^8? (2021)
Solution
The coefficient of x^0 occurs when k=4, which gives us 8C4 = 70.
Correct Answer: C — 70
Learn More →
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
Learn More →
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
Learn More →
Q. What is the coefficient of x^2 in the expansion of (2x - 1)^5? (2021)
Solution
The coefficient of x^2 is C(5,2) * (2)^2 * (-1)^3 = 10 * 4 * (-1) = -40.
Correct Answer: B — 20
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
Q. What is the coefficient of x^4 in the expansion of (3x + 2)^6?
-
A.
540
-
B.
720
-
C.
810
-
D.
900
Solution
The coefficient of x^4 is C(6,4) * (3)^4 * (2)^2 = 15 * 81 * 4 = 4860.
Correct Answer: B — 720
Learn More →
Q. What is the coefficient of x^4 in the expansion of (x + 1)^8? (2020)
Solution
The coefficient of x^4 is C(8,4) = 70.
Correct Answer: B — 56
Learn More →
Q. What is the coefficient of x^5 in the expansion of (2x - 1)^6?
Solution
The coefficient of x^5 is C(6,5) * (2)^5 * (-1)^1 = 6 * 32 * (-1) = -192.
Correct Answer: D — 80
Learn More →
Showing 1201 to 1230 of 3151 (106 Pages)
