GOAL Calculate work from a PV diagram. PROBLEM Find the numeric value of the work done on the gas in (a) Figure a, and (b) Figure b STRATEGY The regions in question are composed of rectangles and triangles. Use basic geometric formulas to find the area underneath each curve. Check the direction of the arrow to determine signs. 10P) 300 200- 5.00- 200 P ₤4. Gd 300 100 2.00 1.00 40 PPP 2005 -Vin 100 3,00 100 200 500 PIP) 200- 倒 -Vou 1.00 100 -Vi 1.00 2.00 1.00 (c) 100 200 500 -Vim³ (4) SOLUTION (A) Find the work done on the gas in Figure a. Compute the areas 41 and 42 in Figure a. 4, is a rectangle and 42 is a triangle. Sum the areas (the arrows point to Increasing volume, so the work done on the gas is negative). (B) Find the work done on the gas in Figure b. Compute the areas of the two rectangular regions. Sum the areas (the arrows point to decreasing volume, so the work done on the gas is positive). LEARN MORE 41-height x width 41 (1.00 x 10 Pa)(2.00 m³) -2.00 x 105 42-base x height 42-(2.00 m³ (2.00 x 105 Pa) -2.00 x 105] Area 41 +42-4.00 x 10 --4.00 x 105 41-height x width 4-(1.00 x 10 Pa)(1.00 m³) - 1.00 × 105 4,-height x width 42-(2.00 x 105 Pa)(1.00 m³) - 2.00 x 105 Area 41 +42-3.00 x 105 - +3.00×1051 REMARKS Notice that in both cases the paths in the DV diagrams start and end at the same points, but the answers are different. QUESTION IS work done on a system during a process in which its volume remains constant? Explain. (Select all that apply.) Changing the pressure of a gas at constant volume does work. Heating a gas at constant volume does work. Work requires not only the force from pressure acting over an area, but also a displacement. No work is done during such a process. Work is done during such a process. EXERCISE HINTS: GETTING STARTED | IM STUCK! Compute the work done on the system in Figure c from -1.50 m³ to - 3 m³. Compute the work done on the system in Figure d from -2.50 m³ to -1 m³.

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, 12 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, 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. pV In this problem, you will…

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, Figure 3po 2po Po pV T 51 = constant. 6: Vo 2V 3V V 1 of 1 ▼ Calculate the work W done by the gas during process 1-2-6-51. Express your answer in terms of po and Vo. W = 4po Vo Submit ✓ Correct This result can be obtained either by calculating the area of the region 1265 or by adding the amounts of work done by the gas during each process of the cycle. The latter method helps verify that the net work done by the gas is, indeed, positive. As discovered earlier, The work W15621 done during a process 1-5-6-2-1 is equal to -W12651, the work done during the reverse process 1-2 →65 →1. Part G…

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 I is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, Figure 3po 2po Po pV T 51 Vo = constant. 6 2V 3V V Submit ✓ Correct No work is done during a process, if the gas does not experience a change in volume. The absolute value of the work done by the gas during a cycle (a process in which the gas returns to its original state) equals the area of the loop corresponding to the cycle. One must be careful, though, in judging whether the work done by the gas is positive or negative. One way to determine the total work is to calculate directly the work done by the gas during each step for the cycle and then add the results with their respective…

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, 72 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, 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 pV 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. 3po In this problem, you will be asked…

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 I is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, PV = constant. One can see that. if the amount of aas remains Figure ЗРО 2po Po Vo 4 6 2V 3V V 1 of 1 ▼ Calculate the work W done by the gas during process 1-3→6. Express your answer in terms of po and Vo. W = 4po Vo Submit ✓ Correct Part E Calculate the work W done by the gas during process 2→6. Express your answer in terms of po and Vo. VE ΑΣΦ W = Previous Answers Submit Provide Feedback Request Answer Part F Complete previous part(s) Part G Complete previous part(s) ?

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 I is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, PV = constant. pV T One can see that if the amount of aas remains Figure ЗРО 2po Po 51 Vo 6 2V 3V < 1 of 1 V A W = 2po Vo Submit ✓ Correct ▼ Part D Previous Answers Calculate the work W done by the gas during process 1-3-6. Express your answer in terms of po and Vo. W = 1 1 119225 Templates Symbols undo redo reset keyboard shortcuts ΑΣΦΑ / Submit Request Answer Part E Complete previous part(s) Part F Complete previous part(s) Part G Complete previous part(s) ! L (

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, 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. Figure pV T In this problem, you will be…

Q1 please

Suppose a gasfilled incandescent light bulb is manufactured so that the gas inside the bulb is at atmospheric pressure when the bulb has a temperature of 20.0C. (a) Find the gauge pressure inside such a bulb when it is hot, assuming its average temperature is 60.0C (an approximation) and neglecting any change in volume due to thermal expansion or gas leaks. (b) The actual final pressure for the light bulb will be less than calculated in part (a) because the glass bulb will expand. What will the actual final pressure be, taking this into account? Is this a negligible difference?