I need help with the third part
The chemical method of analysis in determination of the blood alcohol content (%BAC) is:
K2Cr2O7 + H2SO4 + C2H5OH → Cr2(SO4)3 + K2SO4 + CH3COOH + H2O
What are the stoichiometric coefficients for the reaction above? (please enter the coefficients without spaces and with a coma between the numbers, e.g. 1,2,3,4)
2,8,3,2,2,3,11
During a Breathalyzer Test it was determined that 1.30mg of K2Cr2O7 was consumed by the above reaction. Calculate the number of milligrams of ethanol in the test sample.
0.305
Calculate the Blood Alcohol Content in this sample (%BAC).
Someone told me I need to know the volume of the sample but I am not given that info
. How do I calculate the %BAC?
To calculate the blood alcohol content (%BAC), you will indeed need the volume of the sample. However, since you mentioned that you are not given that information, I cannot provide a specific calculation for the %BAC in this case.
To calculate the number of milligrams of ethanol in the test sample, you can use the stoichiometric coefficients provided in the chemical equation. From the balanced equation:
K2Cr2O7 + H2SO4 + C2H5OH → Cr2(SO4)3 + K2SO4 + CH3COOH + H2O
the stoichiometric coefficient for ethanol (C2H5OH) is 1.
Given that 1.30mg of K2Cr2O7 was consumed, you can use the stoichiometric ratio to calculate the milligrams of ethanol consumed. The ratio is:
(1.30mg K2Cr2O7 consumed) / (Molar mass of K2Cr2O7) = (X mg ethanol consumed) / (Molar mass of ethanol)
Since the molar mass of K2Cr2O7 is 294.18 g/mol and the molar mass of ethanol is 46.07 g/mol:
(1.30mg) / (294.18 g/mol) = (X mg) / (46.07 g/mol)
Solving for X:
X = (1.30mg) / (294.18 g/mol) * (46.07 g/mol) ≈ 0.2038 mg ethanol
Therefore, the number of milligrams of ethanol in the test sample is approximately 0.2038 mg.
Please note that this calculation only provides the amount of ethanol consumed based on the given information. To calculate the %BAC accurately, you would need to know the volume of the sample.
To calculate the Blood Alcohol Content (%BAC) in the sample, you will need to have the volume of the sample. Without the volume of the sample, it is not possible to determine the %BAC accurately.
In order to calculate the %BAC, you need to know the amount of ethanol (C2H5OH) present in the sample, as well as the volume of the sample. The equation you provided shows the chemical reaction between K2Cr2O7, H2SO4, and C2H5OH. However, the stoichiometric coefficients alone do not provide the necessary information to calculate the %BAC.
It is important to note that %BAC is usually determined by analyzing the concentration of alcohol in the breath or blood samples, rather than through a chemical reaction like the one you mentioned. Breathalyzer tests typically measure the concentration of alcohol in the breath, which is then used to estimate the %BAC.
If you have the volume of the sample and the initial concentration of K2Cr2O7, it might be possible to calculate the %BAC using additional information. However, without the volume of the sample provided in the question, it is not possible to calculate the %BAC accurately.