Alcoholic drinks contain ethanol. 10cm3 of ethanol is called one unit of alcohol. Men are advised to drink a maximum of 21 units of ethanol a week, while women are advised to drink a maximum of 14 units. Wine contains about 14% ethanol by volume.
A) a bottle of wine contains 750cm3 of wine. Calculate the volume of ethanol in a bottle of wine
B) how many bottles of wine are equivalent to the maximum amount of ethanol men and women are advised to drink in on week?
14% (that's v/v) means 14 cc ethanol/100 cc wine so
750 cc wine x (14 cc ethanol/100 cc wine) = about 105 cc ethanol.
14 units x (10 cc ethanol/unit) = 140 cc ethanol
140 cc ethanol x (1 bottle/105 cc ethanol) = ? bottles
To calculate the volume of ethanol in a bottle of wine, we need to find 14% of the volume of the wine.
A) Volume of ethanol in a bottle of wine:
Step 1: Convert the wine volume from ml to cm3.
750 ml = 750 cm3 (since 1 ml is equivalent to 1 cm3)
Step 2: Calculate 14% of 750 cm3.
14% of 750 cm3 = 0.14 * 750 cm3 = 105 cm3
Therefore, a bottle of wine contains 105 cm3 of ethanol.
To determine how many bottles of wine are equivalent to the maximum amount of ethanol advised for men and women, we need to calculate the number of units of alcohol in a week for each.
B) Number of bottles of wine equivalent to the maximum alcohol intake:
Step 1: Calculate the number of units in a bottle of wine.
Since 1 unit of alcohol is equivalent to 10 cm3, we can calculate the number of units in a bottle of wine by dividing the volume of ethanol in the wine bottle by 10 cm3.
Number of units in a bottle of wine = 105 cm3 / 10 cm3 = 10.5 units
Step 2: Determine the maximum number of units advised for men and women.
For men: 21 units
For women: 14 units
Step 3: Divide the maximum number of units by the number of units in a bottle of wine to find the equivalent number of bottles.
For men: 21 units / 10.5 units = 2 bottles of wine
For women: 14 units / 10.5 units = 1.33 bottles of wine
Therefore, for men, the maximum alcohol intake advised in a week is equivalent to 2 bottles of wine, while for women it is approximately 1.33 bottles of wine.