The formula to calculate the Rate Constant of a First Order Reaction is:
\[ K_h = \frac{\ln\left(\frac{C_0}{C_0 - x}\right)}{t_{\text{reaction}}} \]
The Rate Constant is the coefficient of proportionality relating the rate of a chemical reaction at a given temperature to the concentration of reactant or product. The Initial Concentration is the abundance of a constituent divided by the total volume of a mixture before diffusion or reaction. The Amount Reacted in Time t represents the amount of reactant reacted to form the product in a first order reaction. The Reaction Time is the time taken to complete a reaction to a certain extent.
Let's assume the following values:
Using the formula:
\[ K_h = \frac{\ln\left(\frac{300}{300 - 0.1}\right)}{10} \approx 3.33388901237796 \times 10^{-5} \]
The Rate Constant is approximately \(3.33388901237796 \times 10^{-5}\) Hertz.
| Initial Concentration (Mole per Cubic Meter) | Amount Reacted (Mole per Cubic Meter) | Reaction Time (Seconds) | Rate Constant (Hertz) |
|---|---|---|---|
| 290 | 0.1 | 10 | 0.000034488705291 |
| 295 | 0.1 | 10 | 0.000033904051859 |
| 300 | 0.1 | 10 | 0.000033338890124 |
| 305 | 0.1 | 10 | 0.000032792261320 |
| 310 | 0.1 | 10 | 0.000032263268549 |