The average rate of disappearance of ozone in the reaction 2O3(g) ---> 3O2 (g) is found to be 8.12 x 10^-3 molecules over 15 seconds. What is the rate of appearance of O2 during this interval
wouldn't it be 3/2 the rate for of the dissapearance of Ozone? The coefficents tell us that.
Didn't Mr. P:ursley answer this for you yesterday?
In the given reaction 2O3(g) -> 3O2(g), the stoichiometric coefficient of O2 is 3. This means that for every 2 molecules of O3 that disappear, 3 molecules of O2 are formed.
According to the rate of disappearance of ozone, which is 8.12 x 10^-3 molecules over 15 seconds, we can calculate the rate of appearance of O2.
Given:
Rate of disappearance of O3 = 8.12 x 10^-3 molecules
Time interval = 15 seconds
To find the rate of appearance of O2, we need to convert the rate of disappearance of O3 to the rate of appearance of O2 by using the stoichiometric ratio.
The stoichiometric ratio between O3 and O2 is 2:3. Therefore, the rate of O2 appearance can be calculated as follows:
Rate of appearance of O2 = (Rate of disappearance of O3) x (stoichiometric coefficient of O2 / stoichiometric coefficient of O3)
Rate of appearance of O2 = (8.12 x 10^-3 molecules) x (3 / 2)
Rate of appearance of O2 = (8.12 x 10^-3 molecules) x (1.5)
Rate of appearance of O2 = 1.218 x 10^-2 molecules
By calculating, the rate of appearance of O2 during the given interval is approximately 1.218 x 10^-2 molecules.
To determine the rate of appearance of O2 during the given interval, we can start by considering the stoichiometry of the reaction. It tells us that for every 2 molecules of O3 that disappear, 3 molecules of O2 are formed.
Given the rate of disappearance of O3, which is 8.12 x 10^-3 molecules over 15 seconds, we can calculate the rate of appearance of O2.
First, we need to find the number of moles of O3 disappearing per second. We can do this by dividing the number of molecules of O3 disappearing by the given time interval:
Rate of disappearance of O3 = (8.12 x 10^-3 molecules)/(15 s)
Next, we convert the number of moles of O3 disappearing to moles of O2 appearing using the stoichiometry of the reaction:
Rate of appearance of O2 = (Rate of disappearance of O3) x (3 moles O2 / 2 moles O3)
Finally, we multiply the rate of appearance of O2 by Avogadro's number (6.022 x 10^23 molecules per mole) to get the rate of appearance of O2 in molecules per second:
Rate of appearance of O2 = (Rate of appearance of O2) x (6.022 x 10^23 molecules/mol)
By following these steps and plugging in the given values, you can calculate the rate of appearance of O2 during the given interval.