Automobiles have they highest cost for of pollution in the air
Here is the full question:
Air containing 0.04% carbon dioxide is pumped into a room whose volume is 6000 ft3. The air is pumped in at a rate of 2000 ft3/min, and the circulated air is then pumped out at the same rate. If there is an initial concentration of 0.2% carbon dioxide, determine the subsequent amount in the room at any time.
What is the concentration at 10 minutes? (Round your answer to three decimal places.
Answer:
0.046 %
Explanation:
The rate-in;
![= \frac{0.04}{100}*2000](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B0.04%7D%7B100%7D%2A2000)
= 0.8
The rate-out
= ![\frac{A}{6000}*2000](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7B6000%7D%2A2000)
= ![\frac{A}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7B3%7D)
We can say that:
![0.8-\frac{A}{3}](https://tex.z-dn.net/?f=0.8-%5Cfrac%7BA%7D%7B3%7D)
where;
A(0)= 0.2% × 6000
A(0)= 0.002 × 6000
A(0)= 12
![\frac{dA}{dt} +\frac{A}{3} =0.8](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%2B%5Cfrac%7BA%7D%7B3%7D%20%3D0.8)
Integration of the above linear equation =
![e^{\frac{1}{3}t](https://tex.z-dn.net/?f=e%5E%7B%5Cfrac%7B1%7D%7B3%7Dt)
so we have:
![= 0.8e^{\frac{1}{3}t](https://tex.z-dn.net/?f=%3D%200.8e%5E%7B%5Cfrac%7B1%7D%7B3%7Dt)
![= 0.8e^{\frac{1}{3}t](https://tex.z-dn.net/?f=%3D%200.8e%5E%7B%5Cfrac%7B1%7D%7B3%7Dt)
![Ae^{\frac{1}{3}t} =2.4e\frac{1}{3}t +C](https://tex.z-dn.net/?f=Ae%5E%7B%5Cfrac%7B1%7D%7B3%7Dt%7D%20%3D2.4e%5Cfrac%7B1%7D%7B3%7Dt%20%2BC)
∴ ![A(t) = 2.4 +Ce^{-\frac{1}{3}t](https://tex.z-dn.net/?f=A%28t%29%20%3D%202.4%20%2BCe%5E%7B-%5Cfrac%7B1%7D%7B3%7Dt)
Since A(0) = 12
Then;
![12 =2.4 + Ce^{-\frac{1}{3}}(0)](https://tex.z-dn.net/?f=12%20%3D2.4%20%2B%20Ce%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%280%29)
![C= 12-2.4](https://tex.z-dn.net/?f=C%3D%2012-2.4)
![C =9.6](https://tex.z-dn.net/?f=C%20%3D9.6)
Hence;
![A(t) = 2.4 +9.6e^{-\frac{t}{3}}](https://tex.z-dn.net/?f=A%28t%29%20%3D%202.4%20%2B9.6e%5E%7B-%5Cfrac%7Bt%7D%7B3%7D%7D)
![A(0) = 2.4 +9.6e^{-\frac{10}{3}}](https://tex.z-dn.net/?f=A%280%29%20%3D%202.4%20%2B9.6e%5E%7B-%5Cfrac%7B10%7D%7B3%7D%7D)
![A(t) = 2.74](https://tex.z-dn.net/?f=A%28t%29%20%3D%202.74)
∴ the concentration at 10 minutes is ;
=
%
= 0.0456667 %
= 0.046% to three decimal places
<span>The Persian Wars mark an important turning point not only in Greek history but, indeed, in the course of all European civilization. First and foremost, because of its victory Greece was saved from the threat of external rule and could develop on its own. Handed this independence, the Greeks chose to follow a path which forever changed the course of modern life. Without their success in this conflict, they would, no doubt, never have had the liberty, means or conviction to invent, discover or create all they did: not just history but philosophy, science, drama, art, architecture, indeed most of the cornerstones of modern civilization.
Another consequence of this victory, less immediate but equally important, was that it prevented the Persians from dominating the lands to the west of Greece—as noted above, it's likely the fertile fields of Italy and Sicily, not the rough dust of Greece, were the real target of Xerxes' imperial designs—and there a tiny settlement called Rome had just begun to sprout, at that moment hardly a dot on the map, but it would later develop into a crucial player in the history of the West. Rome won freedom, too, in the Persian Wars, without ever fielding a single fighter. It's impossible to imagine how vastly different our world would be if Persia had conquered or exterminated the Romans before they'd ever had a chance to grow.
Thus, the Greeks laid the groundwork for later Western culture, and Herodotus the foundation for understanding it. If so many of his facts look suspect or even prove incorrect, if he sometimes seems to set speculation and scandal over sober criticism and science, before condemning him we should recall that he founded this entire enterprise called history, a discipline which still bears the name he gave it. His critics should also bear in mind it's only because Herodotus set us on this path that we can even scorn his methods in the first place. To this most uncommon "common man," we owe an enormous collective debt.</span>
we can differentiate a heterozygous individual from a homozygote by analyzing their alleles. If the alleles in the homologous chromosomes are the same, we say that it is a homozygote. If the alleles are different, the individual is heterozygous.
Other systems in the body might respond with cramps or overheating, which might eventually kill you, if not taken care of in time. Hope this helps!