Question+2

=Question 2=

the amount of alcohol in your body? Use the amount of alcohol in a bottle of beer as the standard “drink”.

 * Derivation not included**

Assumptions: Person is a white male Person is between 66 and 89 kilograms Person is between the ages of 21 and 27 Person has not eaten anything with the alcohol Person drinks quickly Person drinks 2 standard beers with 14 grams of ethanol each
 * __ Question: Does having 2 alcoholic drinks before leaving make you feel drunk? __**

To solve this question, the maximum value of the alcohol concentration is needed. Using the previously derived formula: The max value is: The time this occurs is: The value of //a//: The value of //b//:

//x// represents the amount of alcohol and is equal to 28 grams in this case

Substituting //x// into the expressions of //a// and //b// yields the result of //a// = 1.4826 and //b// = 1.146. Therefore, time taken to reach maximum value is 0.873 hours and maximum value of alcohol in blood is 0.476 g/L. The BAC is 0.0476%. According to B.R.A.D, at this level of BAC there is a “feeling of well-being, relaxation, lower inhibitions, sensation of warmth. Euphoria. Some minor impairment of reasoning and memory, lowering of caution. Your behavior may become exaggerated and emotions intensified (Good emotions are better, bad emotions are worse)” (???). At this level it is still possible to drive as it is still below the legal limit of 0.08%. Solving this question using a continuous would be extremely tedious. However, an iteration function would be much easier to work with in this situation. So the first task is to convert  into an iteration. This iteration basically uses as the rate of decay. //d// is the mass, in grams, of alcohol added in the interval. This iteration only works with concentrations of alcohol, so //d// is divided by 4.7, which is the total amount of blood in the human body (???). In order to proceed, //b// must also be converted into an iteration. The ‘4.7’ multiplier is a conversion factor between concentration, which is the output of the main iteration function, and mass of ethanol, which is the only units the  function accepts. The volume of blood in the body is 4.7 L. Next, all the expressions are substituted in one iteration formula: Note that //t// equals 1 hour and //d// is 7 g. Assuming that all the alcohol enter the blood stream before being broken down, the first term in the sequence would be 7g/4.7L = 1.49 g/L. Successive iterations yield: n || C || 0 || 1.489361702 || 1 ||  1.552688141 || 2 ||  1.558942394 || 3 ||  1.55958351 || 4 ||  1.559649472 || 5 ||  1.559656261 || 6 ||  1.55965696 || 7 ||  1.559657032 || 8 ||  1.55965704 || 9 ||  1.55965704 || ||  1.55965704 ||
 * Conclusion:** You are technically not drunk after drinking 2 beers.
 * __ Question: Does having ½ a drink every hour increase the amount of alcohol in the body? __**

Due to the assumption made that all the alcohol enters the blood stream before breakdown, there won’t actually by 1.56 g/L of alcohol in the body. However, this does not deter from the result that if one drinks ½ a drink every hour, the body can’t reduce alcohol concentrations to 0. There will be 7.33g of ethanol in the body if the assumption is true.
 * Conclusion:** drinking ½ drink every hour will make it impossible for the body to reduce alcohol amounts to 0.