Final answer:
To radiate away all the energy from a 700 Calorie lunch, the student would need to sit on a couch for about 8.17 hours, based on a basal metabolic rate of 100 joules per second.
Step-by-step explanation:
With 700 Calories, and knowing that 1 Calorie equals 4186 joules, the total energy intake is 700 x 4186 joules.
Dividing this number by the student's basal metabolic rate of 100 joules per second gives us the total time in seconds.
So the calculation is (700 x 4186) joules / (100 joules/second) = 29,402 seconds.
To convert seconds to hours, divide by 3600, which yields approximately 8.17 hours.
Therefore, the student would need to sit for about 8.17 hours to radiate away all the energy from the lunch.