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forum.virtualchallengemeets.com • View topic - Challenging Problems #1

Challenging Problems #1

Two hours? That's <EM>PLENTY</EM> of time.

Challenging Problems #1

Postby JBennett » Sun May 16, 2010 7:17 pm

Eh, I always see Math with some cool problems that require extensive thinking.

I think Science needs some.

Question #1

You are given an unknown substance X with molecular weight of 100g, that has a boiling point at 80 degrees Celsius. A second experiment also shows that its vapor pressure is 590 Torr at 70 degrees Celsius.

3 Liters of substance X at 40 degrees Celsius undergoes a reaction of [unparseable or potentially dangerous latex formula] (g) --> [unparseable or potentially dangerous latex formula] (s)
Substance X3 is put into a 1 kg container.

If you have a maximum of 10000 J available to utilize, how far can you push the container up a 30 (with respect to the horizontal) degree incline whose coefficient of friction is directly proportional to the amount of distance you have covered. Assume the constant of proportionality is equal to the rate constant of a 2nd order reaction with a half-life of 2.5 seconds while accelerating from quarter of the speed of light to half the speed of light.


If someone gets this, I will be amazed.
D/R/S
Science - 200 (1st - 52/106/42) / 218 (2nd - 94/106/26) / 184 (6th - 70/58/56)
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JBennett
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