(Solved): Goal Solve for the efficiency of a heat engine using a five-step process the includes: 1. Making a ...

Goal Solve for the efficiency of a heat engine using a five-step process the includes: 1. Making a state table. 2. Making a process table. 3. Calculating the totals for Work, Heat, and Internal-Energy-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. Calculating the efficiency of the engine. Problem Shown in the figure to the right is a cyclic process undergone by a heat engine. Your heat engine shall use \( 7.0 \) moles of nitrogen gas (diatomic). During the process \( a->b \), the pressure rises by a factor of 5.0. Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). (2) Fill in the Process Table (all entries in Joules). (3) Find the Totals: \( \begin{array}{ll}\text { Work }= & \mathrm{J} \\ \text { Heat }= & \mathrm{J} \\ \mathrm{dU}= & \mathrm{J}\end{array} \) (4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"): \[ \begin{array}{ll} \text { Q-hot = } & \text { J } \\ \text { Q-cold }= & J \end{array} \] (5) Find the efficiency of the engine: efficiency \( = \) \( \% \)