A well-trained marathon runner trains by running 12.5 miles every day. He makes
ID: 3008556 • Letter: A
Question
A well-trained marathon runner trains by running 12.5 miles every day. He makes 6-minute miles and burns about 1,000 calories for every 10 miles he runs. In order to maintain a healthy weight, he makes sure to eat protein bars to make up for the calories he burns. A certain protein bar contains 20 grams of protein per bar. Protein provides 4 calories of energy per gram of protein. Calculate how many bars the runner has to consume on a day in order to provide his body with the calories burned during running. Show all your work as conversion factors and use dimensional analysis to check if your work is correct. In a generic chemical reaction, compound A reacts with compound B in a 1:1 ratio of A:B. Compound A has a molar mass of 18.02 g/mol. The products of the reaction are compound C and D. The ratio A:B:C:D = 6:6:1:6. Compound C has a molar mass of 180.16 g/mol. Reaction of 90.1 grams of compound A with an unlimited amount of compound B results in the formation of 150.1 gram of compound C and 160.0 g of compound D. Calculate the molar mass of compound B. Consider the generic reaction between A and B. The ratio between A and B is 2:1. When A and B reacts, the products are C and D. The ratio between all reactants and products = A:B:C:D = 2:1:2:1. The molar mass of C = 44.01 g/mol. Reaction of 196.07 grams of A with 447.79 grams of B yields 308.07 grams of C. Calculate the molar mass of compound D.
Explanation / Answer
Running distance = 12.5 miles
Burns 1000 calories for every 10 miles
Hence for 12.5 miles he burns 1000x12.5 /10 = 1250 calories
He has to take 1250 calories every day.
1 gm contains 4 calories
Hence he has to eat 1250/4 = 312.50 gms of proteins.
This willbe contained in 312.5/20 = 15.125
Nearly 16 bars he has to take
Verify:
calories taken = 16x 4x20 = 1280
more than 1250 calories he burns every day
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