Q. The equation of state for an ideal gas is given by: (2022)
A.PV = nRT
B.PV = NkT
C.PV = mRT
D.PV = kT
Solution
The equation of state for an ideal gas is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the universal gas constant, and T is the temperature in Kelvin.
Q. The equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is 4. What is the value of Kp? (2023)
A.4
B.16
C.0.25
D.0.0625
Solution
Kp can be calculated from Kc using the relation Kp = Kc(RT)^(Δn), where Δn is the change in moles of gas. Here, Δn = 2 - 3 = -1, so Kp = Kc(0.0821T)^(-1). Assuming standard conditions, Kp = 4 * (1/RT) = 16.
Q. The Faraday's first law of electrolysis states that: (2018)
A.The mass of substance deposited is directly proportional to the current
B.The voltage is directly proportional to the current
C.The energy is conserved
D.The temperature remains constant
Solution
Faraday's first law states that the mass of a substance deposited at an electrode is directly proportional to the quantity of electricity passed through the electrolyte.
Correct Answer: A — The mass of substance deposited is directly proportional to the current
Q. The force on a charged particle moving in a magnetic field is given by which law? (2021)
A.Coulomb's Law
B.Lorentz Force Law
C.Faraday's Law
D.Ampere's Law
Solution
The force (F) on a charged particle moving in a magnetic field is described by the Lorentz Force Law, F = q(v × B), where q is the charge, v is the velocity, and B is the magnetic field.
Q. The frequency of a wave is 10 Hz. What is the frequency of its second harmonic? (2021)
A.5 Hz
B.10 Hz
C.20 Hz
D.30 Hz
Solution
The frequency of the second harmonic is twice the fundamental frequency. Therefore, if the fundamental frequency is 10 Hz, the second harmonic frequency is 2 * 10 Hz = 20 Hz.
Q. The Freundlich adsorption isotherm is best described by which equation? (2023)
A.x/m = kP
B.x/m = kP^(1/n)
C.P = k(x/m)
D.P = k(x/m)^(1/n)
Solution
The Freundlich isotherm is represented by the equation x/m = kP^(1/n), where x is the amount adsorbed, m is the mass of the adsorbent, and P is the pressure.
Q. The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the expression for the half-life (t1/2)? (2022)
A.t1/2 = 0.693/k
B.t1/2 = k/0.693
C.t1/2 = 1/k
D.t1/2 = k/2
Solution
The half-life of a first-order reaction is given by the expression t1/2 = 0.693/k, where k is the rate constant.
Q. The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the expression for the half-life? (2022)
A.t₁/₂ = 0.693/k
B.t₁/₂ = k/0.693
C.t₁/₂ = 1/k
D.t₁/₂ = k/1
Solution
The half-life of a first-order reaction is given by t₁/₂ = 0.693/k.
Q. The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the expression for the half-life (t₁/₂)? (2022)
A.t₁/₂ = 0.693/k
B.t₁/₂ = k/0.693
C.t₁/₂ = 1/k
D.t₁/₂ = k/1
Solution
The half-life of a first-order reaction is given by t₁/₂ = 0.693/k.
Q. The half-life of a first-order reaction is independent of the initial concentration. What is the expression for the half-life (t1/2) of a first-order reaction? (2022)
A.t1/2 = 0.693/k
B.t1/2 = k/0.693
C.t1/2 = 1/k
D.t1/2 = k/2
Solution
The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, where k is the rate constant.