a jogger does 2.5 *10^5 of work

during an exercise routine. her internal energy
decreases by 6.8*x10^5. how much heat did she
absorb or give off?

To find out how much heat the jogger absorbed or gave off, we can use the First Law of Thermodynamics, which states that the change in internal energy of a system is equal to the heat absorbed or given off by the system plus the work done on or by the system.

In this case, we are given the change in internal energy of the jogger, which is -6.8 * 10^5 (since it decreases). We are also given the work done by the jogger, which is 2.5 * 10^5.

Therefore, we can write the equation as:
Change in internal energy = Heat + Work

Substituting the given values, we have:
-6.8 * 10^5 = Heat + 2.5 * 10^5

Now, to find the value of Heat, we can rearrange the equation:
Heat = -6.8 * 10^5 - 2.5 * 10^5

Performing the calculations, we get:
Heat = -9.3 * 10^5

Therefore, the jogger gave off 9.3 * 10^5 units of heat during the exercise routine.