Part D Some hydrogen gas is enclosed within a chamber being held at 200° C whose volume is 0.0250 m³. Initially, the pressure in the gas is 1.50 x 106 Pa (14.8 atm). The chamber is removed from the heat source and allowed to cool until the pressure in the gas falls to 0.950 x 106 Pa. At what temperature T₂ does this occur? Enter your answer in degrees Celsius. ▸ View Available Hint(s) T₂ = Submit 1971 ΑΣΦ www. ? °C

Principles of Physics: A Calculus-Based Text
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Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 66P
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part d

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 n 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.
.
Submit
Part D
Correct
Correct answer is shown. Your answer 0.04 m³ was either rounded differently or used a different number of significant figures
than required for this part.
Notice how n is not needed to answer this problem and neither is T, although you do make use of the fact that I is a constant.
T₂ =
Previous Answers
Some hydrogen gas is enclosed within a chamber being held at 200° C whose volume is 0.0250 m³. Initially, the pressure in the gas is
1.50 × 106 Pa (14.8 atm). The chamber is removed from the heat source and allowed to cool until the pressure in the gas falls to
0.950 × 106 Pa. At what temperature T2 does this occur?
Enter your answer in degrees Celsius.
► View Available Hint(s)
Submit
ΑΣΦ
?
Q
Transcribed Image Text: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 n 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. . Submit Part D Correct Correct answer is shown. Your answer 0.04 m³ was either rounded differently or used a different number of significant figures than required for this part. Notice how n is not needed to answer this problem and neither is T, although you do make use of the fact that I is a constant. T₂ = Previous Answers Some hydrogen gas is enclosed within a chamber being held at 200° C whose volume is 0.0250 m³. Initially, the pressure in the gas is 1.50 × 106 Pa (14.8 atm). The chamber is removed from the heat source and allowed to cool until the pressure in the gas falls to 0.950 × 106 Pa. At what temperature T2 does this occur? Enter your answer in degrees Celsius. ► View Available Hint(s) Submit ΑΣΦ ? Q
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