Answer:
It increases by a factor of four.
Explanation:
To answer this question, we can use the pressure's law, which states that:
"For a constant mass of an ideal gas kept at constant volume, the pressure of the gas is directly proportional to the absolute temperature of the gas"
Mathematically:
[tex]\frac{p}{T}=const.[/tex]
where
p is the pressure of the gas
T is its absolute temperature
The equation can be rewritten as
[tex]\frac{p_1}{T_1}=\frac{p_2}{T_2}[/tex]
In this problem we have:
[tex]T_2=4T_1[/tex], since the absolute temperature of the gas is increased by 4 times
Here we want to find p2; solving for it, we find:
[tex]p_2=\frac{T_2}{T_1}p_1 = \frac{4T_1}{T_1}p_1 = 4p_1[/tex]
So, the pressure
It increases by a factor of four.
