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Chemical Kinetics And Catalysis Mock Tests

6 questions available

Chemical Kinetics And Catalysis Mock Test 1

Questions: 6

नमूना प्रश्न

GATE Chemistry
For a first-order reaction A → products, the half-life is 69.3 seconds. What is the rate constant k, and what fraction of A remains after 200 seconds?
A k = 0.01 s⁻¹; 12.5% remains
B k = 0.001 s⁻¹; 25% remains
C k = 0.1 s⁻¹; 6.25% remains
D k = 0.01 s⁻¹; 25% remains
GATE Chemistry
According to transition state theory for a bimolecular gas-phase reaction A + B → [AB]‡ → products, the Eyring equation relates the rate constant k to the Gibbs energy of activation ΔG‡. Which of the following expressions correctly represents the Eyring equation? (Here, h is Planck's constant, k_B is Boltzmann's constant, T is temperature, and the standard concentration c° = 1 mol/L is implicit.)
A k = (k_B T/h) × exp(−ΔG‡/RT)
B k = (k_B T/h) × exp(ΔG‡/RT)
C k = (h/k_B T) × exp(−ΔG‡/RT)
D k = (k_B T/h) × exp(−ΔG‡/k_B T)
GATE Chemistry
The photochemical reaction of nitrogen dioxide (NO₂) with carbon monoxide (CO) in the atmosphere involves the formation of which intermediate species during the photolysis step?
A NO and O(³P)
B N₂ and O₂
C NO₃ and O₃
D HNO and O₂
GATE Chemistry
The Michaelis-Menten equation for enzyme kinetics is v₀ = Vₘₐₓ[S]/(Kₘ + [S]). When the substrate concentration [S] equals Kₘ, the initial velocity v₀ is:
A Vₘₐₓ/4
B Vₘₐₓ/2
C Vₘₐₓ
D 3Vₘₐₓ/4
GATE Chemistry
The decomposition of ozone (2O₃ → 3O₂) is proposed to proceed via the following mechanism: Step 1: O₃ ⇌ O₂ + O (fast equilibrium, forward rate constant k₁, reverse rate constant k₋₁). Step 2: O + O₃ → 2O₂ (slow, rate constant k₂). Using the steady-state approximation for the oxygen atom intermediate [O], which of the following rate laws is consistent with this mechanism under the condition that k₋₁[O₂] >> k₂[O₃]? (The rate of reaction is defined as d[O₂]/dt.)
A Rate = 2k₁k₂[O₃]²/(k₋₁[O₂])
B Rate = k₂[O][O₃]
C Rate = k₁[O₃]
D Rate = 2k₂[O₃]²
GATE Chemistry
For the reaction 2NO(g) + O₂(g) → 2NO₂(g), the rate law is found to be rate = k[NO]²[O₂]. If the volume of the reaction vessel is suddenly halved at constant temperature, the rate of reaction increases by a factor of:
A 2
B 4
C 8
D 16

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