Problem 2: you have to drive cross-country, and you leave with a full tank of gas, which allows you to travel n miles. you have a map with the location of all the gas stations on your route and the relative distances between them. you want to minimize the number of stops at gas station to re ll your tank. find an ecient method by which you can determine at which gas stations to stop and prove that it is optimal.

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature