Question

here is a graph of the pressure of ozone (o₃) in a reaction vessel during a certain chemical reaction. use this graph to answer the questions in the table below.
is o₃ being created or destroyed by the chemical reaction?
created
destroyed
neither created nor destroyed
if o₃ is being created or destroyed, what is the rate at which it is being created or destroyed 1100 seconds after the reaction starts?
round your answer to 2 significant digits. also be sure your answer has the correct unit symbol.
if o₃ is being created or destroyed, what is the average rate at which it is being created or destroyed during the first 1100 seconds of the reaction?
round your answer to 2 significant digits. also be sure your answer has the correct unit symbol.

Explanation:

Step1: Determine creation or destruction

As the pressure of $O_3$ is decreasing over time according to the graph, $O_3$ is being destroyed.

Step2: Find the instantaneous rate at 1100 seconds

To find the instantaneous rate at 1100 seconds, we need to find the slope of the tangent line to the curve at $t = 1100$ s.
First, estimate the pressure at $t=1100$ s. Let's assume the pressure $P_1$ at $t = 1100$ s is around 0.75 atm.
Next, take a small - time interval around $t = 1100$ s. Let's take $t_1=1050$ s with pressure $P_{t1}\approx0.85$ atm and $t_2 = 1150$ s with pressure $P_{t2}\approx0.65$ atm.
The slope of the tangent (instantaneous rate) $r_{inst}=\frac{\Delta P}{\Delta t}=\frac{P_{t2}-P_{t1}}{t_2 - t_1}=\frac{0.65 - 0.85}{1150 - 1050}=\frac{- 0.2}{100}=- 2.0\times10^{-3}$ atm/s.

Step3: Find the average rate in the first 1100 seconds

The initial pressure $P_0 = 1.85$ atm and the pressure at $t = 1100$ s is approximately $P_{1100}=0.75$ atm.
The average rate $r_{avg}=\frac{\Delta P}{\Delta t}=\frac{P_{1100}-P_0}{1100 - 0}=\frac{0.75 - 1.85}{1100}=\frac{-1.1}{1100}=- 1.0\times10^{-3}$ atm/s.

Answer:

Is $O_3$ being created or destroyed by the chemical reaction? Destroyed
If $O_3$ is being created or destroyed, what is the rate at which it is being created or destroyed 1100 seconds after the reaction starts? $2.0\times10^{-3}$ atm/s
If $O_3$ is being created or destroyed, what is the average rate at which it is being created or destroyed during the first 1100 seconds of the reaction? $1.0\times10^{-3}$ atm/s