Energy that is not utilized for work or heat transfer is converted to the chemical energy of body fat containing about 39 kJ/g. How many grams of fat will you gain if you eat 10,000 kJ (about 2500 kcal) one day and do nothing but sit relaxed for 16.0 h and sleep for the other 8.00 h

51.28 grams of fat will gain

Explanation:

Correction: 10,000 kj about 2500 cal not 2500 kcal.

Asumption: basal metabolic rate will depend of weight, lenght, age and gender but its estipulated a 2000 cal basal metabolic rate as a standar for the calculation for nutritional value of food.

eating a 2500 cal in one day will left

Consuming about 2,500 calories in a day where you only sit relaxed for 16 hours and the rest of the time was used to sleep will mean a basal metabolism of 2000 cal, so 500 calories were left unused, taking into account that 1 calorie is about 4 kj we have to

500 cal * 4kj / cal = 2000 kj

The amount of energy stored as fat will be given by the following equation:

Unused energy / energy contained in one gram of fat = 2000 kj / (39 kj / g) = 51.28 grams of fat gain

mass=238.52g

Explanation:

Energy that is not utilized for work or heat transfer is converted to the chemical energy of body fat containing about 39 kJ/g. How many grams of fat will you gain if you eat 10,000 kJ (about 2500 kcal) one day and do nothing but sit relaxed for 16.0 h and sleep for the other 8.00 h

unutilized energy converted to body fat, F=39 kj/g

time to relax=16h

consumed energy = 10000 kj

sleeping time=8h

rate of energy consumption whilst sleeping=83j/s

rate of energy consumption whilst sitting=120j/s

energy is power x time

E=p*t

substituting the parameters

energy used in sleeping=83j/s*8*3600=2390400=2390.4kJ

energy consumed whilst sitting=120j/s*16*3600=6912kj

total unused nery = 2390.4kJ+6912kj

9302.4kj

energy stored / mass=39 kJ/g

9302.4kj=39 kJ/g*mass

mass=9302.4kj/39 kJ/g

mass=238.52g