The heat energy of ethanol is 29800J/g. A 355g can of beer contains 3.70% ethanol by mass. How many ethanol calories are in a can of beer?

energy= alcohol*calories/g of alchol

energy=.035*355*29800 Joules

Now convert that to calories

To calculate the number of ethanol calories in a can of beer, we need to follow a few steps:

Step 1: Calculate the mass of ethanol in the can of beer.
Given that the can of beer contains 355 grams and 3.70% of that mass is ethanol, we can calculate the mass of ethanol as follows:

Mass of ethanol = 355g × (3.70/100)
Mass of ethanol = 13.135g

Step 2: Convert the mass of ethanol from grams to calories.
Since we know the heat energy of ethanol is 29800J/g, we need to convert this value from joules to calories. The conversion factor is approximately 1 calorie = 4.184 joules.

Heat energy of ethanol = 29800J/g × 1 cal/4.184J
Heat energy of ethanol = 7115.4 cal/g

Step 3: Calculate the total number of ethanol calories in the can of beer.
To find the total number of ethanol calories, we multiply the mass of ethanol by the heat energy of ethanol:

Total ethanol calories = Mass of ethanol × Heat energy of ethanol
Total ethanol calories = 13.135g × 7115.4 cal/g
Total ethanol calories = 93,491.79 calories

Therefore, there are approximately 93,492 ethanol calories in a can of beer.