Chapter 16, Problem 36GP

& The following equations represent the four parts (A, B, C, and D) of a cyclic process with a gas. In this case we consider the work done by the system on the environment and consequently $Q\text{**\#x00A0;}-W=A{U}_{\mathrm{int}}.$

$W=\left(3.0\right)\times {10}^5{\text{N/m}}^{\text{2}})\left(0.020{\text{ m}}^{\text{3}}-0.010{\text{ m}}^{\text{3}}\right)+0$

$+\left(1.0\times {10}^5{\text{N/m}}^{\text{2}}\right)\left(0.010{\text{ m}}^{\text{3}}-0.020{\text{ m}}^{\text{3}}\right)+0$

$\begin{array}{l}\Delta U_{\text{int}}=\left(3/2\right)\left(1.0\text{ mole}\right)\left(8.3\text{ J/mole}\cdot \text{K}\right)[\left(700\text{K-360K}\right)\\ +\left(480\text{K-700K}\right)+\left(240\text{K-480K}\right)\\ +\left(360\text{K-240K}\right)]\\ Q=Q_{\text{A}}+Q_{\text{B}}+Q_{\text{C}}+Q_{\text{D}}\end{array}$

(a) Draw a P-versus-V graph for the process with labeled axes (Including a scale). (b) Determine the net change in the internal energy during the entire cycle (c) Determine the heating of the system for each of the four parts of the process.