Question

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 2390 kcal) one day and do nothing but sit relaxed for 14.3 h and sleep for the other 9.70 h

Answer 1

`m=107.8g`

Step-by-step explanation:

Hello,

In this case, for the given information, we can compute the gained grams by firstly compute the energy consumed by 14.3 h of being sit relaxed and 9.70 h of sleeping:

`E_(sit)=120(J)/(s)*(3600s)/(1h) *14.3h*(1kJ)/(1000J) =6177.6kJ\\\\E_(sleep)=83(J)/(s)*(3600s)/(1h) *9.70h*(1kJ)/(1000J) =2898.36kJ`

Then, we compute the energy used that day:

`E_T=10000kJ-2898.36kJ-6177.6kJ=4203.28kJ`

Finally, the mass by considering the consumed fat:

`m=(4203.28kJ)/(39kJ/g) \\\\m=107.8g`

Regards.