The formula to calculate the Reaction Time is:
\[ t_{\text{reaction}} = \frac{\ln\left(\frac{C_0}{C_0 - x}\right)}{K_h} \]
The Reaction Time is the time taken to complete a reaction to a certain extent. 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 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.
Let's assume the following values:
Using the formula:
\[ t_{\text{reaction}} = \frac{\ln\left(\frac{300}{300 - 0.1}\right)}{1 \times 10^{-6}} \approx 333.388901237796 \]
The Reaction Time is approximately 333.388901237796 Seconds.
| Initial Concentration (Mole per Cubic Meter) | Amount Reacted (Mole per Cubic Meter) | Rate Constant (Hertz) | Reaction Time (Seconds) |
|---|---|---|---|
| 290 | 0.1 | 1.0E-6 | 344.887052909986892 |
| 295 | 0.1 | 1.0E-6 | 339.040518589319674 |
| 300 | 0.1 | 1.0E-6 | 333.388901237795721 |
| 305 | 0.1 | 1.0E-6 | 327.922613202553634 |
| 310 | 0.1 | 1.0E-6 | 322.632685489350138 |