M111 Math. as Human Pursuit Worksheet on Unit Conversions

Name _________________________________

 

Currency Conversion.  Go to the web site OANDA.com, The Currency Site  to determine the appropriate currency conversions for today to compute the following:  (Show work for answer)
a)  How much does a Waterford Crystal Vase which costs 70 British Pounds ; cost in today's U.S. dollars?
____________

 b)  How much should you charge in Japanese Yen for a new BMW selling for $78,000.

___________
 

Blood Alcohol Content (or Level)  Measurements:

Important Note:   This exercise does not suggest that driving is safe after drinking alcohol -- no matter what amount!!!
  http:/www.onlineconversion.com

Estimates BAL by Oklahoma State Police Department: http://www.ou.edu/oupd/bac.htm

Blood alcohol concentration (BAC) is the concentration of alcohol in blood. It is usually measured as mass per volume. For example, a BAC of 0.02% means 0.2 ‰ (permille) or 0.02 grams of alcohol per 100 milliliters of an individual's blood.

In Indiana the Blood Alcohol  Concentration (BAC) concentration (in percentage weight to volume)  limit for warranting a DWI (Driving While Intoxicated)  is .08  ( in weight/volume or grams /100 milliliter -- expressed normally as a percent).  This would be .08 grams / 100 milliliter (equivalently .0008 grams / milliliter)

Suppose that you have gone to a fund-raising cocktail party where you are allowed to have two free drinks (of any kind).  You have brought two friends with you who are also entitled to the two free drinks.   You are in a hurry so you "slam" the drinks down -- drink as fast as you can, and then depart.   Your first  friend, Jane, weighs 110 pounds, and orders two Cosmos.  Your second friend, Jim, weighs 240 pounds and orders two 12 oz light beers with 4% alcohol by volume.  You order whatever you want. Calculate the amount of alcohol consumed by each person, and their BAC, including yourself.

Keep at least four digits in your intermediate calculations. 

2.   For Jane:
a)  Alcoholic content  of two Cosmos  (Use the recipe for Cosmo # 1 at  http://www.webtender.com/  ).
Assume Absolute Vodka  of 80 proof  = 40% alcohol  and Triple Sec at 48 proof = 24% alcohol.

 __________ fluid oz. of alcohol == __________ milliliters   = _________  grams
(For converting milliliters to grams  multiply by conversion factor .79  -- the specific gravity  of alcohol in grams per milliliter).
   

b)  Convert Jane's weight from pounds to kilograms:    _____________ kilograms.
 

c)  Calculate the total body water in  liters and milliliters for Jane (Women have 49% of their body weight is water on average, while men  have 58% of their body weight as water.

______________  liters  or _____________ milliliters.
(Note, for water, 1 kilogram = 1 liter.)
 
 

d)  Compute the concentration of alcohol in the water in Jane's body in grams of alcohol per milliliter of water.

_____________   grams of alcohol / milliliter of water
 
 
e)  Compute the concentration of alcohol in Jane's blood in grams of alcohol per milliliter of blood.  (The percentage of water in the blood  is 80.6%).

____________ grams of alcohol / milliliter of blood
  

f)  Compute the BAC  (in grams/100 milliliter  or equivalently grams/deciliter-- we normally express a percentage).

______________ grams / deciliter
 

g)  Should she be allowed to drive?  Justify your answer.
 
 
 h)  Assuming that Jane has an average metabolic rate  of .017 per hour decline in BAC.  (Range can be as low as .010 and as high as 0.040  -- heavy drinkers (60 or more drinks in one month) have a metabolic rate of 0.020).  What is her BAC after 30 minutes?  __________  After 2 hr.?  ____________
 
 

3.  Compute Jim's BAC in the same manner.

a)  Alcoholic content  of  the two 12 oz 4% beers

 _______ fluid oz. of alcohol == __________ milliliters   = _________  grams
(For converting milliliters to grams  use the conversion factor .79  -- the specific gravity of alcohol in grams per milliliter).

 

b)  Convert Jim's weight from pounds to kilograms:    _________  kilograms.
 

c)  Calculate the total body water in milliliters for Jim (Women have 49% water on average, while men 58% ).
__________  milliliters
 

d)  Compute the concentration of alcohol in the water in Jim's body  in grams of alcohol per milliliter of water.

_____________ grams of alcohol / milliliter of water
 
 

e)  Compute the concentration of alcohol in Jim's blood in grams of alcohol per milliliter of blood.  (The percentage of water in the blood  is 80.6%).

____________ grams of alcohol / milliliter of blood

 

f)  Compute the BAC  (in grams / deciliter)

___________
 

g)  Should he be allowed to drive?
 
 h)  Assuming that Jim has an high metabolic rate  of .020 per hour decline in BAC.  (Range can be as low as .010 and as high as 0.040  -- heavy drinkers (60 or more drinks in one month) have a metabolic rate of 0.020). 

What is his BAC after 30 minutes?  __________   After 2 hr.?  ____________
 
 

4.   Now compute your BAC.
List the drinks your chose  with alcohol quantities used to make the drink (Use the recipe at  http://www.webtender.com/  ) below:
 
 
 

a)  Alcoholic content  of two drinks.

 _______ fluid oz. of alcohol == ___________ milliliters   = _________  grams
(For converting milliliters to grams  use the conversion factor .79  -- the specific gravity of alcohol in grams per milliliter).

   

b)  Convert your weight from   pounds to kilograms:

_________ kilograms
   

c)  Calculate the total body water in milliliters for yourself.  (Women have 49% water on average, while men 58%).

__________  milliliters
 

d)  Compute the concentration of alcohol in the water in your body  in grams of alcohol per milliliter of water.
_____________
 
 
 e)  Compute the concentration of alcohol in your blood in grams of alcohol per milliliter of blood.  (The percentage of water in the blood  is 80.6%).

____________
 
  

f)  Compute the BAC (in grams/deciliter).

_______________
 
   

g)  Should you be allowed to drive?
 
   

h)  Estimate your metabolic rate for alcohol __________

Using this, what is your BAC after 30 minutes? __________   After 2 hr.?  ___________
 
 
 
 

5.  a)   What is the level of BAC that normally produces alcohol poisoning (including risk of death)?  __________
See the following site:   http://www.factsontap.org/factsontap/naked_truth/by_the_numbers.htm
 
 

b)  Bonus  (4 points):   For Jane’s characteristics, how many   ounces of "instantaneously" consumed 80 proof whiskey would produce this level?  (Show work below)

__________  ounces of 80 proof whisky.