The concentration of R in the reaction R gives P was measured as a fun...
Understanding the Reaction Order
To determine the order of the reaction R → P, we analyze the concentration data of R over time.
Data Summary
- Concentration of R [R] (molar): 1.0, 0.75, 0.40, 0.10
- Time t (min): 0.0, 0.05, 0.12, 0.18
Calculating Rate Changes
We can calculate the rate of reaction at different intervals. The rate of change of concentration can be expressed as:
- From t = 0.0 to 0.05 min:
- Change in [R] = 1.0 - 0.75 = 0.25
- From t = 0.05 to 0.12 min:
- Change in [R] = 0.75 - 0.40 = 0.35
- From t = 0.12 to 0.18 min:
- Change in [R] = 0.40 - 0.10 = 0.30
Determining the Order
To establish the order of the reaction, we observe the relationship between the rate of reaction and the concentration of R:
- Zero Order: Rate is constant regardless of [R].
- First Order: Rate is directly proportional to [R].
- Second Order: Rate is proportional to [R]^2.
To find the order, we can plot the data:
- If a plot of [R] versus time yields a straight line, the reaction is zero order.
- If a plot of ln[R] versus time yields a straight line, the reaction is first order.
- If a plot of 1/[R] versus time yields a straight line, the reaction is second order.
Conclusion
Given the data indicates a significant change in rate with decreasing concentration, it suggests the reaction is likely first order. The logarithmic relationship holds as [R] decreases, confirming this conclusion.
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