Part B Nitrogen gas is introduced into a large deflated plastic bag. No gas is allowed to escape, but as more and more nitrogen is added, the bag inflates to accommodate it. The pressure of the gas within the bag remains at 1.00 atm and its temperature remains at room temperature (20.0°C). How many moles have been introduced into the bag by the time its volume reaches 22.4 L? Express your answer in moles. ▸ View Available Hint(s) n = 0.932 mol All attempts used; correct answer displayed One mole of gas occupies 22.4 L at STP (standard temperature and pressure: 0°C and 1 atm). This fact may be worth memorizing. In this problem, the temperature is slightly higher than STP, so the gas expands and 22.4 I. can be filled by slightly less than 1 mol of gas Part C Previous Answers Some hydrogen gas is enclosed within a chamber being held at 200°C with a volume of 0.0250 m². The chamber is fitted with a movable piston. Initially, the pressure in the gas is 1.50 x 10° Pa (14.8 atm). The piston is slowly extracted until the pressure in the gas falls to 0.950 x 10° Pa. What is the final volume V₂ of the container? Assume that no gas escapes and that the temperature remains at 200°C. Enter your answer numerically in cubic meters. ▸ View Available Hint(s) Submit ? B m²

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Introduction to the Ideal Gas Law
Learning Goal:
To understand the ideal gas law and be able to apply it to a wide variety of situations.
The absolute temperature T. volume V, and pressure p of a gas sample are related by the
ideal gas law, which states that
PV = nRT.
Here is the number of moles in the gas sample and R is a gas constant that applies to all
gases. This empirical law describes gases well only if they are sufficiently dilute and at a
sufficiently high temperature that they are not on the verge of condensing.
In applying the ideal gas law, p must be the absolute pressure, measured with respect to
vacuum and not with respect to atmospheric pressure, and I must be the absolute
temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout
this tutorial as -273° C). If p is in pascals and V is in cubic meters, use
R = 8.3145 J/(mol-K). If p is in atmospheres and V is in liters, use
R=0.08206 L-atm/(mol-K) instead.
▾
ISH
P₂ = 1.07P1
Submit
Part B
✓ Correct
This modest temperature increase (in absolute terms) leads to a pressure increase of just a few percent. Note that it is critical for the temperatures to be converted to absolute units. If you had used Celsius
temperatures, you would have predicted that the pressure should double, which is far greater than the actual increase.
Submit
Previous Answere
Nitrogen gas is introduced into a large deflated plastic bag. No gas is allowed to escape, but as more and more nitrogen is added, the bag inflates to accommodate it. The pressure of the gas within the bag remains
at 1.00 atm and its temperature remains at room temperature (20.0°C). How many moles have been introduced into the bag by the time its volume reaches 22.4 L?
Express your answer in moles.
▸ View Available Hint(s)
n=0.932 mol
Part C
V/₂=
Previous Answers
All attempts used; correct answer displayed
One mole of gas occupies 22.4 L at STP (standard temperature and pressure: 0°C and 1 atm). This fact may be worth memorizing. In this problem, the temperature is slightly higher than STP, so the gas
expands and 22.4 L can be filled by slightly less than 1 mol of gas.
Submit
Some hydrogen gas is enclosed within a chamber being held at 200° C with a volume of 0.0250 m³. The chamber is fitted with a movable piston. Initially, the pressure in the gas is 1.50 x 10° Pa (14.8 atm). The
piston is slowly extracted until the pressure in the gas falls to 0.950 x 10° Pa. What is the final volume V₂ of the container? Assume that no gas escapes and that the temperature remains at 200°C.
Enter your answer numerically in cubic meters.
▸ View Available Hint(s)
IVE]ΑΣΦ
A24
9 of 14 >
Review | Constants
3
?
m³
3
Transcribed Image Text:Introduction to the Ideal Gas Law Learning Goal: To understand the ideal gas law and be able to apply it to a wide variety of situations. The absolute temperature T. volume V, and pressure p of a gas sample are related by the ideal gas law, which states that PV = nRT. Here is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing. In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and I must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout this tutorial as -273° C). If p is in pascals and V is in cubic meters, use R = 8.3145 J/(mol-K). If p is in atmospheres and V is in liters, use R=0.08206 L-atm/(mol-K) instead. ▾ ISH P₂ = 1.07P1 Submit Part B ✓ Correct This modest temperature increase (in absolute terms) leads to a pressure increase of just a few percent. Note that it is critical for the temperatures to be converted to absolute units. If you had used Celsius temperatures, you would have predicted that the pressure should double, which is far greater than the actual increase. Submit Previous Answere Nitrogen gas is introduced into a large deflated plastic bag. No gas is allowed to escape, but as more and more nitrogen is added, the bag inflates to accommodate it. The pressure of the gas within the bag remains at 1.00 atm and its temperature remains at room temperature (20.0°C). How many moles have been introduced into the bag by the time its volume reaches 22.4 L? Express your answer in moles. ▸ View Available Hint(s) n=0.932 mol Part C V/₂= Previous Answers All attempts used; correct answer displayed One mole of gas occupies 22.4 L at STP (standard temperature and pressure: 0°C and 1 atm). This fact may be worth memorizing. In this problem, the temperature is slightly higher than STP, so the gas expands and 22.4 L can be filled by slightly less than 1 mol of gas. Submit Some hydrogen gas is enclosed within a chamber being held at 200° C with a volume of 0.0250 m³. The chamber is fitted with a movable piston. Initially, the pressure in the gas is 1.50 x 10° Pa (14.8 atm). The piston is slowly extracted until the pressure in the gas falls to 0.950 x 10° Pa. What is the final volume V₂ of the container? Assume that no gas escapes and that the temperature remains at 200°C. Enter your answer numerically in cubic meters. ▸ View Available Hint(s) IVE]ΑΣΦ A24 9 of 14 > Review | Constants 3 ? m³ 3
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