The final pressure of the gas is 180 kPa
Explanation:
Assuming that the volume of the gas remains the same, we can use Charle's law, which states that:
"For a gas at fixed volume, the pressure of the gas is directly proportional to its absolute temperature"
Mathematically,
[tex]\frac{p}{T}=const.[/tex]
where
p is the pressure of the gas
T is its temperature in Kelvin
The equation can also be rewritten as
[tex]\frac{p_1}{V_1}=\frac{p_2}{V_2}[/tex]
For the sample of neon gas in this problem, we have:
[tex]p_1 = 120 kPa[/tex] (initial pressure)
[tex]T_1 = 400 K[/tex] (initial temperature)
[tex]T_2 = 600 K[/tex] (final temperature)
By solving the equation, we can find the final pressure, [tex]p_2[/tex]:
[tex]p_2 = \frac{p_1 T_2}{T_1}=\frac{(120)(600)}{400}=180 kPa[/tex]
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