Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas are described by the equation pV = nRT, where p is the pressure of the gas, V is the volume of the gas, n is the number of moles, R is the universal gas constant, and T is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, PV T = constant. One can see that, if the amount of gas remains constant, it is impossible to change just one parameter of the gas: At least one more parameter would also change. For instance, if the pressure of the gas is changed, we can be sure that either the volume or the temperature of the gas (or, maybe, both!) would also change. To explore these changes, it is often convenient to draw a graph showing one parameter as a function of the other. Although there are many choices of axes, the most common one is a plot of pressure as a function of volume: a pV diagram. In this problem, you will be asked a series of questions related to different processes shown on a pV diagram ( Figure 1). They will help you become familiar with such diagrams and to understand what information may be obtained from them. One important use for pV diagrams is in calculating work. The product pV has the units of Pa × m³ = (N/m²) · m³ = N · m = J ; in fact, the absolute value of the work done by the gas (or on the gas) during any process equals the area under the graph corresponding to that process on the pV diagram. If the gas increases in volume, it does positive work; if the volume decreases, the gas does negative work (or, in other words, work is being done on the gas). If the volume does not change, the work done is zero. The following questions may seem repetitive; however, they will provide practice. Also, the results of these calculations may be helpful in the final section of the problem. ▾ Part A Calculate the work W done by the gas during process 1→2. Express your answer in terms of po and Vo. W = Submit ΤΟ ΑΣΦ xª Хь 1× Χ Previous Answers Request Answer x> × Incorrect; Try Again; 3 attempts remaining The correct answer does not depend on: V1, V2. ? |X| x.10n ☑ B. ☑ 圃▶ Part B Complete previous part(s) Part C Complete previous part(s) Part D Complete previous part(s) Part E Complete previous part(s) Part F Complete previous part(s) Part G. Complete previous part(s)