To calculate the mean rate of reaction when hydrochloric acid is added to magnesium, we need to use the formula provided:
[tex]\[ \text{Mean rate of reaction} = \frac{\text{Volume of gas produced in cm}^3}{\text{Mean time taken in seconds}} \][/tex]
Here are the given values and the steps to find the mean rate of reaction:
1. Volume of gas produced: The volume of gas that is produced during the reaction is 50 cm³.
2. Mean time taken: The mean time taken for the reaction to produce this gas is 25 seconds.
Now, we can substitute these values into the formula:
[tex]\[ \text{Mean rate of reaction} = \frac{50 \, \text{cm}^3}{25 \, \text{s}} \][/tex]
3. Divide the volume of gas by the mean time taken:
[tex]\[ \text{Mean rate of reaction} = \frac{50}{25} = 2.0 \, \text{cm}^3/\text{s} \][/tex]
So, the mean rate of reaction is 2.0 cm³/s.
