Q. What is the unit of electrical charge?
A.
Volt
B.
Ampere
C.
Coulomb
D.
Ohm
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Solution
The unit of electrical charge is the Coulomb.
Correct Answer: C — Coulomb
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Q. What is the unit of enthalpy?
A.
Joules per mole (J/mol)
B.
Calories per mole (cal/mol)
C.
Both A and B
D.
Liters per mole (L/mol)
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Solution
Enthalpy can be expressed in both Joules per mole and Calories per mole.
Correct Answer: C — Both A and B
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Q. What is the unit of entropy?
A.
J/mol·K
B.
J/K
C.
K
D.
J/mol
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Solution
The unit of entropy is Joules per mole per Kelvin (J/mol·K).
Correct Answer: A — J/mol·K
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Q. What is the unit of rate constant for a second-order reaction?
A.
mol/L·s
B.
L/(mol·s)
C.
s^-1
D.
mol^2/L^2·s
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Solution
The unit of rate constant for a second-order reaction is L/(mol·s).
Correct Answer: B — L/(mol·s)
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Q. What is the unit of the rate constant for a second-order reaction?
A.
mol/L·s
B.
L²/mol²·s
C.
1/s
D.
mol/L
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Solution
The unit of the rate constant for a second-order reaction is L²/mol²·s.
Correct Answer: B — L²/mol²·s
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Q. What is the value of k for which the equation x^2 - 2kx + 3 = 0 has roots that are reciprocals of each other?
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Solution
If the roots are reciprocals, then k = sum of roots = 0 and product = 1. Thus, k = 2.
Correct Answer: B — 2
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Q. What is the value of k for which the equation x^2 - 4x + k = 0 has roots that are equal?
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Solution
For equal roots, the discriminant must be zero: (-4)^2 - 4*1*k = 0 => 16 - 4k = 0 => k = 4.
Correct Answer: A — 4
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Q. What is the value of k if the roots of the equation x^2 + kx + 16 = 0 are equal?
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Solution
For equal roots, the discriminant must be zero: k^2 - 4*1*16 = 0 => k^2 = 64 => k = 8 or k = -8.
Correct Answer: B — 8
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Q. What is the value of k if the roots of the equation x^2 - kx + 12 = 0 are 3 and 4?
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Solution
Using Vieta's formulas, k = 3 + 4 = 7.
Correct Answer: A — 7
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Q. What is the value of l for a d orbital?
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Solution
For d orbitals, the azimuthal quantum number l is equal to 2.
Correct Answer: C — 2
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Q. What is the value of R (ideal gas constant) in L·atm/(K·mol)?
A.
0.0821
B.
8.314
C.
62.36
D.
0.0831
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Solution
The ideal gas constant R is 0.0821 L·atm/(K·mol).
Correct Answer: A — 0.0821
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Q. What is the value of R in the ideal gas equation PV=nRT?
A.
0.0821 L·atm/(K·mol)
B.
8.314 J/(K·mol)
C.
62.36 L·mmHg/(K·mol)
D.
All of the above
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Solution
R can have different values depending on the units used, including 0.0821 L·atm/(K·mol), 8.314 J/(K·mol), and 62.36 L·mmHg/(K·mol).
Correct Answer: D — All of the above
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Q. What is the value of the equilibrium constant Kc for the reaction A + B ⇌ C + D at 25°C if the concentrations are [A]=0.1 M, [B]=0.2 M, [C]=0.3 M, [D]=0.4 M?
A.
0.5
B.
1.0
C.
2.0
D.
4.0
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Solution
Kc = ([C][D]) / ([A][B]) = (0.3 * 0.4) / (0.1 * 0.2) = 2.0
Correct Answer: C — 2.0
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Q. What is the value of the equilibrium constant Kc for the reaction A + B ⇌ C at 25°C if the concentrations are [A] = 0.1 M, [B] = 0.2 M, and [C] = 0.3 M?
A.
0.5
B.
1.0
C.
1.5
D.
2.0
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Solution
Kc = [C]/([A][B]) = 0.3/(0.1*0.2) = 1.5
Correct Answer: B — 1.0
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Q. What is the value of the equilibrium constant Kc for the reaction: 2A ⇌ B + C if at equilibrium [A] = 0.5 M, [B] = 0.2 M, and [C] = 0.3 M?
A.
0.12
B.
0.30
C.
0.60
D.
1.20
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Solution
Kc = [B][C] / [A]^2 = (0.2)(0.3) / (0.5)^2 = 0.12 / 0.25 = 0.48.
Correct Answer: C — 0.60
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Q. What is the value of the equilibrium constant Kp for the reaction 2NO2(g) ⇌ N2O4(g) at a certain temperature?
A.
Kp = (P_N2O4) / (P_NO2)^2
B.
Kp = (P_NO2)^2 / (P_N2O4)
C.
Kp = (P_N2O4)^2 / (P_NO2)
D.
Kp = (P_NO2) / (P_N2O4)^2
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Solution
Kp is defined as the partial pressure of products over reactants, raised to the power of their coefficients.
Correct Answer: A — Kp = (P_N2O4) / (P_NO2)^2
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Q. What is the value of the equilibrium constant Kp for the reaction: N2(g) + 3H2(g) ⇌ 2NH3(g) at 25°C?
A.
0.5
B.
1.0
C.
0.1
D.
Depends on the initial concentrations
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Solution
The value of Kp is specific to the reaction conditions and cannot be determined without knowing the initial concentrations or the extent of the reaction.
Correct Answer: D — Depends on the initial concentrations
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Q. What is the value of the gas constant R in L·atm/(K·mol)?
A.
0.0821
B.
8.314
C.
0.08314
D.
1.987
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Solution
The gas constant R is 0.0821 L·atm/(K·mol).
Correct Answer: A — 0.0821
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Q. What is the value of the principal quantum number (n) for an electron in the 4f subshell?
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Solution
The principal quantum number n for the f subshell is 4.
Correct Answer: B — 4
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Q. What is the value of the principal quantum number (n) for an electron in the 4s orbital?
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Solution
The principal quantum number (n) indicates the energy level of the electron. For 4s, n=4.
Correct Answer: D — 4
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Q. What is the value of the principal quantum number (n) for an electron in the ground state of a hydrogen atom?
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Solution
In the ground state, the electron is in the first energy level, which corresponds to n=1.
Correct Answer: B — 1
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Q. What is the value of the principal quantum number (n) for the outermost electron in a potassium atom?
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Solution
Potassium (K) has an atomic number of 19, and its electron configuration ends in 4s, so the outermost electron has n=4.
Correct Answer: C — 3
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Q. What is the value of the principal quantum number (n) for the outermost electron in potassium (K)?
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Solution
Potassium has the electronic configuration [Ar] 4s1, so the outermost electron is in n=4.
Correct Answer: B — 4
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Q. What is the value of the principal quantum number (n) for the outermost electrons in a sodium atom?
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Solution
Sodium has an atomic number of 11, and its electron configuration is 1s² 2s² 2p⁶ 3s¹. The outermost electrons are in n=3.
Correct Answer: C — 3
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Q. What is the value of the principal quantum number for an electron in the ground state of a hydrogen atom?
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Solution
The ground state of hydrogen corresponds to n=1.
Correct Answer: A — 1
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Q. What is the value of the principal quantum number for the outermost electrons in potassium (K)?
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Solution
Potassium has an atomic number of 19, and its outermost electrons are in the n=4 shell.
Correct Answer: D — 4
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Q. What is the value of the principal quantum number for the outermost electrons in a sodium atom?
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Solution
Sodium has an atomic number of 11, and its outermost electrons are in the n=3 shell.
Correct Answer: C — 3
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Q. What is the value of the universal gas constant R in L·atm/(K·mol)?
A.
0.0821
B.
8.314
C.
62.36
D.
1.987
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Solution
The universal gas constant R is 0.0821 L·atm/(K·mol).
Correct Answer: A — 0.0821
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Q. What is the van 't Hoff factor (i) for a strong electrolyte like NaCl in solution?
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Solution
NaCl dissociates into two ions (Na+ and Cl-), so the van 't Hoff factor (i) is 2.
Correct Answer: B — 2
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Q. What is the van 't Hoff factor (i) for a strong electrolyte that completely dissociates into 3 ions?
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Solution
The van 't Hoff factor (i) is equal to the number of particles the solute dissociates into. For a strong electrolyte that dissociates into 3 ions, i = 3.
Correct Answer: C — 3
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