Number Of Collision Per Unit Volume Per Unit Time Between A And B Calculator

Formula Used:

\[ Z_{NAB} = \pi \times (\sigma_{AB})^2 \times Z_{AA} \times \sqrt{\frac{8 \times k_B \times T_{Kinetics}}{\pi \times \mu}} \]

Closeness of Approach for Collision (σ_AB):

Molecular Collision per Unit Volume per Unit Time (Z_AA):

collisions/m³/s

Temperature (T_Kinetics):

Reduced Mass (μ):

Number of Collision between A and B (Z_NAB):

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1. What is the Number of Collision between A and B?

The Number of Collision between A and B per Unit Volume per Unit Time represents the average rate at which two reactants undergo effective collisions in a given system. This parameter is crucial in chemical kinetics for determining reaction rates.

2. How Does the Calculator Work?

The calculator uses the collision theory formula:

\[ Z_{NAB} = \pi \times (\sigma_{AB})^2 \times Z_{AA} \times \sqrt{\frac{8 \times k_B \times T_{Kinetics}}{\pi \times \mu}} \]

Where:

\( \sigma_{AB} \) — Closeness of Approach for Collision (m)
\( Z_{AA} \) — Molecular Collision per Unit Volume per Unit Time (collisions/m³/s)
\( k_B \) — Boltzmann constant (1.38064852×10⁻²³ J/K)
\( T_{Kinetics} \) — Temperature (K)
\( \mu \) — Reduced Mass (kg)

Explanation: This formula calculates the collision frequency between molecules A and B based on their size, collision rate, temperature, and reduced mass.

3. Importance of Collision Calculation

Details: Accurate collision frequency calculation is essential for predicting reaction rates, understanding chemical kinetics, and designing chemical processes in various industrial applications.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Closeness of approach and reduced mass must be positive values. Temperature must be in Kelvin.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of closeness of approach?
A: Closeness of approach represents the sum of the radii of the colliding molecules A and B, determining the effective collision cross-section.

Q2: How does temperature affect collision frequency?
A: Higher temperatures increase molecular speeds, leading to more frequent collisions and higher collision frequencies.

Q3: What is reduced mass and why is it important?
A: Reduced mass is the effective inertial mass in two-body collisions, allowing the system to be treated as a one-body problem for calculation purposes.

Q4: Are all collisions effective for reaction?
A: No, only collisions with sufficient energy and proper orientation lead to chemical reactions (effective collisions).

Q5: What are typical values for collision frequency?
A: Collision frequencies typically range from 10²⁹ to 10³⁰ collisions per cubic meter per second for gases at standard conditions.