a battery harnesses a chemical reaction to extract energy in the form of useful electrical work. (a) a certain battery runs a toy truck and becomes par- tially discharged. in the process, it performs a total of 117.0 j of work on its immediate surroundings. it also gives off 3.0 j of heat, which the surroundings absorb. no other work or heat is exchanged with the sur- roundings. compute q, w, and du of the battery, making sure each quantity has the proper sign. (b) the same battery is now recharged exactly to its origi- nal condition. this requires 210.0 j of electrical work from an outside generator. determine q for the battery in this process. explain why q has the sign that it does.