The Half Life period of a first order reaction is 60 minutes what percentage will be left over after 240 minutes??
also explain
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First order reactions in chemistry are governed by a law that is similar to the familiar radioactive decay law of physics. In 240 minutes there are![\frac { 240}{60} = 4 \: half-lives \frac { 240}{60} = 4 \: half-lives](https://tex.z-dn.net/?f=+%5Cfrac+%7B+240%7D%7B60%7D+%3D+4+%5C%3A+half-lives)
![N→1\frac {N}{2} →2 \frac {N}{4} → 3<br /><br />\frac{N}{8} → 4 \frac{N}{16} N→1\frac {N}{2} →2 \frac {N}{4} → 3<br /><br />\frac{N}{8} → 4 \frac{N}{16}](https://tex.z-dn.net/?f=+N%E2%86%921%5Cfrac+%7BN%7D%7B2%7D+%E2%86%922+%5Cfrac+%7BN%7D%7B4%7D+%E2%86%92+3%3Cbr+%2F%3E%3Cbr+%2F%3E%5Cfrac%7BN%7D%7B8%7D+%E2%86%92+4+%5Cfrac%7BN%7D%7B16%7D+)
Percentage left after four half-lives =![\frac {(N/16)}{N} \times 100 \frac {(N/16)}{N} \times 100](https://tex.z-dn.net/?f=+%5Cfrac+%7B%28N%2F16%29%7D%7BN%7D+%5Ctimes+100+)
![= \frac {100}{16} % = \frac {100}{16} %](https://tex.z-dn.net/?f=+%3D+%5Cfrac+%7B100%7D%7B16%7D+%25+)
![= 6.25 % = 6.25 %](https://tex.z-dn.net/?f=+%3D+6.25+%25+)
You can get the same result using the formula![N = N \frac{}{0} {e}^{ - kt} N = N \frac{}{0} {e}^{ - kt}](https://tex.z-dn.net/?f=+N+%3D+N+%5Cfrac%7B%7D%7B0%7D++%7Be%7D%5E%7B+-+kt%7D++)
where k is the rate constant given by
Percentage left after four half-lives =
You can get the same result using the formula
where k is the rate constant given by
missShelly:
thanks a lot
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240 minutes implies 4 half lifes
let initial percentage be 100%
after 60 minutes it will become 50%
after 120 minutes it will become 25%
after 180 minutes it will become 12.5%
and finally after 240 minutes
= 6.25%
✨Half life means the percentage of that reaction will become half in that time ...
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