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Fire ~ Testing your Physiology Mystery Cache

This cache has been archived.

The-Eaves: Redesigning the cache and the puzzle to make it muggle-proof! Should not take long... Will be re-published in with awesomeness... ;)

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Hidden : 1/8/2011
Difficulty:
5 out of 5
Terrain:
3 out of 5

Size: Size:   large (large)

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Geocache Description:

The metabolism of few substances in the body exhibit zero order kinetics… Phenytoin is one, and ethyl alcohol is the other. Something to think about while enjoying some Long Island Iced Tea...

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Experiment

The psychoactive agent in alcoholic beverages is ethyl alcohol or ethanol (C2H5OH) – It completely clear, odourless, tasteless and water soluble. Various other chemicals in the beverage are responsible for the taste and odour we commonly associate with liquor!

Experiment

The intoxicating potency of any alcoholic beverage (the primary psychoactive agent in which is ethanol) is measured in terms of ethyl alcohol content which is usually expressed in terms of volume for volume or mass per volume – Given that 1L of alcohol does not have the same mass as that of the equivalent volume of water, concentrations of ethanol expressed in g/L must be multiplied by the factor 20/21 to yield concentrations in g/Kg. This is important as most lab reports will state blood ethanol concentrations in g/100mL. Always be conscious of the units you are working with!

Ethanol is readily water soluble and passes easily through the cell membranes of the gastrointestinal tract. Ethanol taken by mouth is therefore rapidly and almost completely absorbed – Some absorption takes place in the stomach with the majority occurring in the small intestine (+-80%). On an empty stomach a large drink will be completely absorbed within an hour, and in the presence of food this time period may extend to over 2 hours. A number of factors influence the rate of ethanol absorption from the gut:

>>> Gastric emptying time is inversely proportional to absorption time and is prolonged in the presence of certain foodstuffs – Fatty foods and proteins delay empting the most while carbohydrates do so the least. This is the major factor influencing rate of absorption.

>>> Alcoholics, due to chronic mucosal irritation of the stomach, tend to absorb alcohol more quickly from their stomachs than do non-habitual drinkers.

>>> The concentration of ethanol in the beverage also influences the rate of absorption – High concentrations (excess of 20%) are absorbed more slowly owing to acute gastritis than beverages of lower concentrations.

Once absorbed, ethanol is distributed by the blood to all the tissues of the body (the concentration in the various tissues in proportional to the water content of that tissue). Fat, which is a relatively dry tissue will offer less space for alcohol distribution than would muscle, which contains much more water.

As many can testify, ethanol can do funny things to the mind. Effects are due to depressant action on the ganglion cells of the central nervous system and one of the reasons that the substance is popular is that depressant effects are selective at moderate doses – at these doses only higher centres of function are affected, while lower centres are spared. Thus at these moderate doses vegetative functions such as breathing and blood circulation are little affected, but our overly stressed minds are depressed with resultant euphoria, dulling of intellect and diminution of ability to restrain behaviour.

Unfortunately our higher cognitive abilities are essential in the making rational decisions and the safe operation motor vehicles – The law has thus stated (Act No. 93 of 1996, Chapter 11, Section 65, Sub-section 2): No person shall on a public road drive a vehicle; or occupy the driver’s seat of a motor vehicle, the engine of which is running, while the concentration of alcohol in any specimen of blood taken from any part of his or her body is not less than 0.05 grams per 100 millilitres.

Experiment

A very interesting phenomenon, regarding the effects of ethanol at various concentrations, was described by Mellanby and bears his name – When the ethanol concentration to the brain is on the rise and is found to be at a level X a patient exhibits greater signs of intoxication than the same patient with the same concentration of ethanol but which is on the decline – I.E. If your ethanol level is rising, as opposed to falling, you will experience greater effects of ethanol for a given blood ethanol concentration… Just interesting…

Another smart gentleman by the name of Winmark described a way of calculating the quantity of alcohol one needs to consume in order to achieve a certain blood-ethanol concentration. Difficulty in calculation arises due to the fact that the various tissues of the body have differing water content and thus concentration is dependant not only on body size, but also body constituents. Widmark defined a variable known as the “r” factor – this is the ratio of blood:body ethanol concentration. The value of r is chosen according to body physique (0.495 in obese individuals, 0.765 in lean muscular individuals and for those with average physique, 0.68)

Widmark’s formula: A = p x c x r where A is amount of ethanol consumed in grams; p is the weight of the subject in kilograms; c is the blood ethanol concentration in g/Kg; and r is the “r” factor described above. This formula is not intended for calculation of the amount of alcohol consumed in a sitting as it does not take into account metabolism during consumption.

As mentioned before, ethanol exhibits zero order kinetics in the human body – this means that regardless of the concentration of ethanol in the body, the body is able to metabolize the ethanol to acetaldehyde at a constant rate until there is no ethanol remaining in the body. Very few substances behave this way. The vast majority of ethanol (90%) is metabolized in the liver by anaerobic oxidation by the enzyme alcohol dehydrogenase to acetaldehyde (Antabuse, a drug used to curb alcohol addiction, inhibits this enzyme resulting in severe illness on alcohol consumption; This enzyme is less effective in people of Asian origin which also explains the low prevalence of alcoholism among this group). The remaining ethanol is excreted unchanged in the urine and breath. For the vast majority of people clearance of ethanol is between 6-8g per hour. Clearance may be more rapid in habitual drinkers owing to activation of the Cytochrome P450 enzyme system in the liver (increase in rate of metabolism by ~15%)

Your task as a responsible geocacher is to help out your friend… After having been unable to find Water ~ Testing your chemistry, another cache on Blouberg beach, he assumed a seat at a restaurant here at Eden on the Bay and decided to order a drink (perhaps hoping that the solution would come to him). He is rather chubby, of average height with BMI of 32 and a mass of 99Kg. He had eaten no food for some hours and decided to order a Jam Jar with everything in it (23.6g of ethanol). At the same time some of his high school buddies notice him sitting in the corner looking quite dejected and they buy him 3 vodka shots (25.3g of ethanol) – Not wanting to offend his friends he downs the shots and sits down again to finish his Jam Jar. He finishes the drink in little time and soon begins to feel quite relaxed… You arrive and he tells you of his failed attempt at Water ~ Testing you chemistry. You have solved this particular cache and advise that he remember that diffusion rate is inversely proportional to the root of the molecular mass of the gas and that he must simply determine relatively how much faster the lighter gas diffuses – divide the root of the molecular mass of the one gas by the same for the other gas. The resultant rate ratio will equate to the proportion of the gas that can be extracted for every pass through the diffuser. After each pass there is now less of the lighter gas and the amount extracted decreases slightly after each pass. An arithmetic progression… ;) Anyway - he stares blankly - It comes time to leave and your friend, who only ever drinks once in a blue moon, stumbles and then sits back down… He asks you whether you think he is over the legal limit, and if so, how much longer he should sit at the restaurant before he is below the legal limit…

Assume that all the ethanol was absorbed within 30min during which time an insignificant amount had been metabolised. Assume also that your friend will metabolize the ethanol as would an average adult from the moment that all the ethanol has been absorbed – Err on the side of safety and calculate based on the slowest average rate of metabolism for an average person. You need to advise your friend as to what his blood ethanol concentration is likely to be right now, at 30min post starting to drink, and for how long he should sit it out before hitting the road…

(Calculate his blood ethanol concentration in terms of mg/L rounded off to the nearest mg [this yields ABCD]; Calculate the amount of time he he should wait before driving rounded to the nearest minute [this yields EFG])

The cache will not be found at the listed coordinates and the puzzle will lead you to only further down the rabbit hole… If you get stuck thinking in reverse may be enlightening! ;)

***NB!! At the coordinates calculated below you will find nothing that needs removal or extraction… Just use your senses! No muscle required. PLEASE DO NOT BREAK OFF OR PULL ANYTHING WHICH COULD BE PART OF THE PUZZLE!***

The cache has a theme ~ which will be made clear after decoding the intermediate... But bring some foreign coins if you have any ;) An immense amount of effort has gone into this so please let's keep the cache loaded!

The final cache is EXTREMELY VULNERABLE and is located in a HIGH MUGGLE ZONE! Please attempt this cache at NIGHT ONLY. Retrieval of the final will attract much attention. You will need time to appreciate the cache so return when the area is deserted! My advice is to go with a friend, use very dim headlamps (cover with tape), and hit it after midnight!

S 33 47.(G-A)(F)(F+A+E)

For the intermediate stage: ***Use stealth***

For the final: ***NIGHT TIME ONLY*** (Or driving rain - the kind where all sane people are indoors!)

E 18 27.(D-F)(B+F+C)(D+A)

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Additional Hints (Decrypt)

Sbe fbyivat gur nypbuby chmmyr: Or pbafpvbhf bs gur havgf hfrq sbe pbapragengvba ~ t/Y be t/100zY be t/Xt ~ Orfg gb pbaireg gur yrtny yvzvg gb t/Xt sbe pnyphyngvba checbfrf. Gb pnyphyngr gur gvzr sbe juvpu ur zhfg jnvg: Pnyphyngr gur znff bs rgunaby va vf flfgrz jura ng gur yrtny yvzvg ( N = c.p.e ). Qrqhpg guvf sebz gur gbgny znff bs rgunaby vatrfgrq -- jung erznvaf vf gur znff gung arrqf gb or zrgnobyvmrq orsber ur pna fnsryl qevir... Ubj znal tenzf cre ubhe pna or zrgnobyvmrq ntnva? Sbe svaqvat gur vagrezrqvngr pnpur: Gur nypbuby chmmyr jvyy gnxr lbh gb na vagrezrqvngr pnpur juvpu vf abg gur svany, abe vf gur pnpur zntargvp (nygubhtu lbh jvyy arrq bar... dhvgr n fgebat bar npghnyyl!)... 10 zvyvgrfynf (zG) cynprq ba gur K fubhyq qb vg! ;) Nsgre nobhg 10 frpbaqf lbh'yy trg vg! Vs abg gel fbzr qvssrerag natyrf; Naq erzrzore ~ jura lbh trg fghpx, guvaxvat va erirefr vf bsgra rayvtugravat! ;) Sbe svaqvat gur svany pnpur!: Hfr gur pyhr lbh jvyy npdhver ng gur vagrezrqvngr pnpur; Gur pnpur ybbxf dhvgr fbyvq -- ohg vg ernyyl vf dhvgr sentvyr -- or tragyr...

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)