Problem of the Week: James Bond has been trapped in an airtight room, with volume 10 cubic meters, by his archenemy Blofeld. At midnight (12:00 AM), Blofeld starts pumping a toxic gas into the room. The gas enters the room at a rate of 0.1 cubic meter per minute, and the mixture is pumped out at the same rate. At 12:10 AM, Blofeld stops pumping the toxic gas - and instead pumps in clean air in order to gloat. Bond knows that the minute Blofeld stops talking he will turn the toxic gas on again. He also knows that he is going to be rescued at 12:30 AM. 1. What is the concentration of toxic gas in the room at 12:10 AM? 2. Suppose Blofeld talks for T minutes. What is the concentration of toxic gas in the room when Blofeld is done talking? 3. How long must Bond keep Blofeld talking in order to ensure that the 12:30 AM rescue arrives before the concentration of toxic gas reaches 20%?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Problem of the Week: James Bond has been trapped in an airtight room, with volume
10 cubic meters, by his archenemy Blofeld. At midnight (12:00 AM), Blofeld starts pumping
a toxic gas into the room. The gas enters the room at a rate of 0.1 cubic meter per minute,
and the mixture is pumped out at the same rate.
At 12:10 AM, Blofeld stops pumping the toxic gas
order to gloat. Bond knows that the minute Blofeld stops talking he will turn the toxic gas
on again. He also knows that he is going to be rescued at 12:30 AM.
and instead pumps in clean air
in
1. What is the concentration of toxic gas in the room at 12:10 AM?
2. Suppose Blofeld talks for T minutes. What is the concentration of toxic gas in the room
when Blofeld is done talking?
3. How long must Bond keep Blofeld talking in order to ensure that the 12:30 AM rescue
arrives before the concentration of toxic gas reaches 20%?
Transcribed Image Text:Problem of the Week: James Bond has been trapped in an airtight room, with volume 10 cubic meters, by his archenemy Blofeld. At midnight (12:00 AM), Blofeld starts pumping a toxic gas into the room. The gas enters the room at a rate of 0.1 cubic meter per minute, and the mixture is pumped out at the same rate. At 12:10 AM, Blofeld stops pumping the toxic gas order to gloat. Bond knows that the minute Blofeld stops talking he will turn the toxic gas on again. He also knows that he is going to be rescued at 12:30 AM. and instead pumps in clean air in 1. What is the concentration of toxic gas in the room at 12:10 AM? 2. Suppose Blofeld talks for T minutes. What is the concentration of toxic gas in the room when Blofeld is done talking? 3. How long must Bond keep Blofeld talking in order to ensure that the 12:30 AM rescue arrives before the concentration of toxic gas reaches 20%?
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