The internal energy of a system increases by 36 joules. The system does work using 17 joules. What amount of heat was added to this system?

According to the first law of thermodynamics, the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. So, we can write the equation:

Change in internal energy = Heat added - Work done

Given that the change in internal energy is 36 joules and the work done is 17 joules, we can substitute these values into the equation:

36 joules = Heat added - 17 joules

Now, we can solve for the heat added:

Heat added = 36 joules + 17 joules
= 53 joules

Therefore, 53 joules of heat was added to the system.