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Chemistry Puzzle Cache #07- PV=nRT Mystery Cache

This cache has been archived.

The Seanachai: Greetings from Geocaching.com,

While we feel that Geocaching.com should hold the location for you for a reasonable amount of time, we cannot do so indefinitely. In light of the lack of communication regarding this cache it has been archived to free up the area for new placements. If you haven’t done so already, please pick up this cache or any remaining bits as soon as possible. If you are in the process of replacing or repairing your cache please e-mail me in response to this archival and, if possible, I will unarchive your cache.

I want to thank you for the time that you have taken to contribute in the past and I am looking forward to your continued contributions to the sport of Geocaching.

The Seanachai
Geocaching.com Volunteer Cache Reviewer

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Hidden : 7/4/2009
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

FTF goes to jdplasvegas!!

The coordinates listed above are not correct! To find the cache you need to solve the following puzzle.


This cache is a puzzle cache which must be solved using knowledge of chemistry. The cache is co-maintained by the Student Affiliates of the American Chemical Society - Tennessee Tech Chapter.

The cache is hidden somewhere on campus.Watch out for muggles! Please replace the cache EXACTLY as you found it!! Plenty of nearby parking. Bring your own pen.

The Ideal Gas Law

Many students fail to realize that the Ideal Gas Law is a composite of several laws observed by various scientists and rolled into one combined formula. Charles' Law states that there is a direct relationship between volume and temperature at constant pressure, or V/T=k. Boyle's law (sometimes referred to as the Boyle-Mariotte law) is one of several gas laws and a special case of the ideal gas law. Boyle's law describes the inversely proportional relationship between the absolute pressure and volume of a gas, if the temperature is kept constant within a closed system, or PV=k. Gay-Lussac's second gas law, discovered in 1802, states that the pressure of a fixed mass and fixed volume of a gas is directly proportional to the gas's temperature, or P/T=k. And Avogadro showed that equal volumes of ideal or perfect gases, at the same temperature and pressure, contain the same number of particles, or molecules. Mathematically, this can be expressed as V/n=k. The most significant consequence of Avogadro's law is that the ideal gas constant has the same value for all gases. This means that the constant R, PV/Tn=R has the same value for all gases, independent of the size or mass of the gas molecules.

To find the cache, solve the following gas problems to get the values needed for the coordinates. Don't forget that temperature has to be in Kelvin, pressure in atmospheres, volume in liters, and the ideal gas constant is 0.08206 L Atm/mol K.

The coordinates for the cache are:
N 36° A.BCD W 085° E.FGH

Solve the following problems:

What is the pressure in atm if 2 moles of a gas occupies 5 liters volume at a temperature of 305 K?, A= first two digits of answer

What is the volume in liters if 4 moles of gas is at 32.8 atm pressure and a temperature of 500 K?, B= first digit of answer

How many moles of gas are present if a 15 liter tank at 298 K has a pressure of 4.9 atm?, C= first digit of answer

What is the temperature in Celcius if one mole of gas at 1 atm pressure occupies a volume of 22.58 liters?, D= first digit of answer

What is the temperature in Celcius if 2 moles of gas at 2 atm pressure occupies a volume of 24.88 liters?, E= first two digits of answer

What is the pressure in atm if 2 moles of gas at 298 K occupies a volume of 9.7 liters?, F= first digit of answer

What volume would 5 moles of gas occupy at 340 K and 27.9 atm pressure?, G= first digit of answer

How many moles of gas are present if 60 liters of gas at 11.85 °C has a pressure of 1185.6 torr?, H= first digit of answer

You can check your answers for this puzzle on Geochecker.com.

If first to find, e-mail us a mailing address to receive a FTF geocoin and some chemistry swag.

Additional Hints (Decrypt)

1 ngz = 760 gbee X = °P + 273.15

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)