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Blababa [14]
3 years ago
4

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 1.50×106Pa (14.8 atm). The chamber is removed from the heat source and allowed to cool until the pressure in the gas falls to 0.950×106Pa. At what temperature T2 does this occur?
Physics
1 answer:
VARVARA [1.3K]3 years ago
4 0

The final temperature of the gas is 27^{\circ}C

Explanation:

Since the volume of the gas is constant (the volume of the chamber does not  change), we can apply the pressure's law, which states that:

"For a gas kept at constant volume, the pressure of the gas is proportional to its absolute temperature"

Mathematically:

\frac{p}{T}=const.

where

p is the gas pressure

T is its Kelvin temperature

For this problem, the equation can be written as

\frac{p_1}{T_1}=\frac{p_2}{T_2}

where we have:

p_1=1.50\cdot 10^6 Pa is the initial pressure

p_2=0.950\cdot 10^6 Pa is the final pressure

T_1=200^{\circ}C+273=473 K is the initial temperature

T_2 is the final temperature

And solving for T2,

T_2=\frac{p_2 T_1}{p_1}=\frac{(0.950\cdot 10^6)(473)}{1.50\cdot 10^6}=300 K

So the final temperature is

T_2 = 300 K - 273 = 27^{\circ}C

Learn more about ideal gases:

brainly.com/question/9321544

brainly.com/question/7316997

brainly.com/question/3658563

#LearnwithBrainly

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