संकेत-से-शोर अनुपात कैलकुलेटर — सूत्र
## Arrhenius Equation and Activation Energy
The Arrhenius equation relates the rate constant to temperature through the activation energy barrier.
### Two-Point Formula
**ln(k2/k1) = (Ea/R) × (1/T1 - 1/T2)**
Solving for Ea:
**Ea = R × ln(k2/k1) / (1/T1 - 1/T2)**
where R = 8.314 J/(mol·K). Higher activation energy means the reaction rate is more sensitive to temperature.
The Arrhenius equation relates the rate constant to temperature through the activation energy barrier.
### Two-Point Formula
**ln(k2/k1) = (Ea/R) × (1/T1 - 1/T2)**
Solving for Ea:
**Ea = R × ln(k2/k1) / (1/T1 - 1/T2)**
where R = 8.314 J/(mol·K). Higher activation energy means the reaction rate is more sensitive to temperature.
हल किया गया उदाहरण
A reaction with k1 = 0.001 s⁻¹ at 300 K and k2 = 0.01 s⁻¹ at 350 K.
- ln(k2/k1) = ln(0.01/0.001) = ln(10) = 2.303
- 1/T1 - 1/T2 = 1/300 - 1/350 = 0.000476
- Ea = 8.314 × 2.303 / 0.000476 = 40,206 J/mol = 40.21 kJ/mol