Texas Tech University
Change of Rate With Time - Example 1


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So let's soul our first example. Let's say, uh, the there is it's, um, function off time in seconds and or say we have concentration off water that is changing with the function off time and let's say time and zero saying 20. 30 in less than 40. Let's save your house. One Moeller and then this gets dropped. Dropped to 0.950 Zero point 90 four zero points. 862 and then zero point 840 Say at question A. They're asking us the rate of disappearance off water in the entire time period. So I'm going to write. This is rate in zero 40 seconds. And it be, let's say they're asking us to rate between the time interval. 20 attorney raids and 20 Terry, two seconds. So let's sold this together. What we need to do at first rating 0 to 40 is we need this change and we know we need this change. So since this is the rate off disappearance, there is a negative. And what we have is 0.840 minus one final by essential divided by 40 minus serum again, finest final minus initial and this is going to give us negative negative. 0.1 20. Do I buy 14? So let me use my calculator. What we're going to do, it's we're going to divide 0.120 by 40 and this is going to be three times. Tend to the poor off negative tree, so we're going to do similarly great between 20 and 30. So if you want this rate over here, so we need to use these numbers this time. So again, what we are going to do is there's a negative and the final 0.86 to minus the initial 0.904 divided by Turkey minus 20. So again, using our calculator 0.86 to minus 0.904 gives us negative 0.0 42 divided by 10. So if you divide this by its end and get rid off the negative sign, there's going to be 4.2 times. Tend to the poor off negative tree. So I want you guys to notice one thing. This number is different than this number. So what this tells us is the rates off. A reaction may change to out as as the time passes, it is not the same anywhere, so it is. Basically you can come up with a different rate in a different time in terrible.

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