Lindsey regularly drank kombucha for its perceived health benefits but was concerned about her blood alcohol level. When drinking kombucha, Lindsey's maximum blood alcohol concentration (BAC) reached 0.9 mg/100mL of blood. Given that the initial half-life for ethanol in the body is 40 minutes, what will be Lindsey's BAC after one hour (60 minutes)?
The human microbiome is one of the major frontiers of current scientific investigation. Increasing the diversity within your "gut" can be achieved by consuming probiotics from fermented foods and beverages such as sauerkraut and kefir. Kombucha is a tea co-culture of bacteria and yeast (called a SCOBY) and ethanol is one of the products of this fermentation.
Lindsey regularly drank kombucha for its perceived health benefits but was concerned about her blood alcohol level. When drinking kombucha, Lindsey's maximum blood alcohol concentration (BAC) reached 0.9 mg/100mL of blood.
Given that the initial half-life for ethanol in the body is 40 minutes, what will be Lindsey's BAC after one hour (60 minutes)?
Given data:
Half life for ethanol = 40 minutes
Decay time = 60 minutes
Concentration of BAC = 0.9 mg/100 mL = 0.009 g/L
Formula used:
Where, , λ = Decay constant
t1/2 = Half life
Where, t = Decay time
Nt = Concentration of sample after time t
No = Initial Concentration of sample
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