Part C 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 106 Pa (14.8 atm). The piston is slowly extracted until the pressure in the gas falls to 0.950 x 106 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)
Part C 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 106 Pa (14.8 atm). The piston is slowly extracted until the pressure in the gas falls to 0.950 x 106 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)
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 = nᎡᎢ .
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.
Correct
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.
Part C
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 × 106 Pa (14.8 atm). The piston is slowly extracted until the pressure in the gas falls to
0.950 × 106 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)
V₂ =
Submit
ΑΣΦ
Part D Complete previous part(s)
?
3
m
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