Chemistry, 21.04.2020 16:50 alailatrenee18541
An accident happens in the lab of Professor Utonium, and a radioactive element X is released in the form of a gas at around 4:00 am. Element X has a short half-life (25 min), and the lab would be considered safe when the concentration of X drops by a factor of 10. Considering the decomposition of element X is of first-order, what is the earliest time Professor Utonium can come back to do experiments in the lab
Answers: 3
) is 25 min. We can find the rate constant (k) using the following expression.
![[X]](/tpl/images/0614/8752/c2fb5.png)
) using the following expression.![[X] = [X]_0 \times e^{-k \times t}](/tpl/images/0614/8752/08bf4.png)
![[X]_0](/tpl/images/0614/8752/fbc43.png)
: initial concentration of X![\frac{[X]}{[X]_0}= e^{-k \times t}\\\frac{1/10[X]_0}{[X]_0}= e^{-0.028min^{-1} \times t}\\t=82min](/tpl/images/0614/8752/784f8.png)
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An accident happens in the lab of Professor Utonium, and a radioactive element X is released in the...
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