according to the collision theory, the ratio of squares of pre-exponential factors of reactions 2 ($A_2$) and 1 ($A_1$) at the same temperature, $\left(\dfrac{A_2}{A_1}\right)^{2}$
Species
Mass (g/mol)
Diameter (nm)
X
5
0.3
Y
20
0.5
M
10
0.4
N
10
0.4
(a)4/5
(b)5/5
(c)$5 / 3$
(d)3/5
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
A ∝ σ√(8kT/πμ). Both collision diameters are (0.3 + 0.5)/2 = 0.4 nm and 0.4 nm, so σ is equal. μ₁ = 5 × 20/25 = 4 and μ₂ = 10 × 10/20 = 5, so (A₂/A₁)² = μ₁/μ₂ = 4/5 (a).