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Ch 19: The First Law of Thermodynamics

Chapter 19, Problem 19

Two moles of an ideal gas are heated at constant pressure from T = 27°C to T = 107°C. (a) Draw a pV-diagram for this process. (ANSWER IS )

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Hey everyone today, we're dealing with the problem about pressure versus volume diagrams. So we're being told that a container is filled with 1.8 molds of an ideal gas. The gas is heated from 18 to 90 degrees Celsius, but the pressure is being kept constant as such. We're being asked to identify which diagram qualitatively represents the pressure versus volume diagram for the specific process. So let's go ahead and make our own little graph. So on a pressure versus volume diagram we usually have pressure on the Y axis and we have volume on the X axis pressure. So this is our origin. But we're being told that pressure is being held constant, pressure is being held constant, right? So when pressure is being held constant, let's say it's at a value here. That means we'll have we'll just label this X. For now that means we'll have a horizontal line, we'll have a horizontal line at that. Why value? Right. Because the pressure is not increasing or decreasing its staying at that value for the entire time. However, we're being told that the gas is being heated. Now, if you recall our rules about ideal gasses because we're dealing with an ideal gas here, when a gas is heated, it expands which means the volume or it presses against the inside of the container and sort of increases the volume inside. So we're moving from a lower volume to a higher volume. We're moving from a lower volume to a higher volume. So we will put an arrow pointing towards the right because the positive X direction represents increasing volume That means V is also increasing. So the only answer choice that matches this, the only diagram that qualitatively represents the PV diagram for this process will be answer choice A. I hope this helps, and I look forward to seeing you all in the next one.
Related Practice
Textbook Question
CALC The temperature of 0.150 mol of an ideal gas is held constant at 77.0°C while its volume is reduced to 25.0% of its initial volume. The initial pressure of the gas is 1.25 atm. (c) Does the gas exchange heat with its surroundings? If so, how much? Does the gas absorb or liberate heat?
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Textbook Question
Two moles of an ideal gas are heated at constant pressure from T = 27°C to T = 107°C. (b) Calculate the work done by the gas
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Textbook Question
A gas undergoes two processes. In the first, the volume remains constant at 0.200 m^3 and the pressure increases from 2.00 * 10^5 Pa to 5.00 * 10^5 Pa. The second process is a compression to a volume of 0.120 m^3 at a constant pressure of 5.00 * 10^5 Pa. (b) Find the total work done by the gas during both processes.
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Textbook Question
A gas undergoes two processes. In the first, the volume remains constant at 0.200 m^3 and the pressure increases from 2.00 * 10^5 Pa to 5.00 * 10^5 Pa. The second process is a compression to a volume of 0.120 m^3 at a constant pressure of 5.00 * 10^5 Pa. (a) In a pV-diagram, show both processes.
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Textbook Question
. BIO Work Done by the Lungs. The graph in Fig. E19.4 shows a pV-diagram of the air in a human lung when a person is inhaling and then exhaling a deep breath. Such graphs, obtained in clinical practice, are normally somewhat curved, but we have modeled one as a set of straight lines of the same general shape. (Important: The pressure shown is the gauge pressure, not the absolute pressure.) (b) The process illustrated here is somewhat different from those we have been studying, because the pressure change is due to changes in the amount of gas in the lung, not to temperature changes. (Think of your own breathing. Your lungs do not expand because they've gotten hot.) If the temperature of the air in the lung remains a reasonable 20°C, what is the maximum number of moles in this person's lung during a breath?
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