Answer:
What happens to the pressure of the air inside a sport ball when it is heated?
Explanation:
We can answer this question by thinking at what happen at microscopic level.
In fact, when the gas inside the ball is heated, the molecules of the gas start moving faster. As a result, the rate of collision of the molecules against the internal surface of the ball increases: and therefore, the pressure of the gas inside the ball increases.
We can also see this by looking at the ideal gas law, which states that:
[tex]pV=nRT[/tex]
where
p is the gas pressure
V is the gas volume
n is the number of moles
R is the gas constant
T is the absolute temperature of the gas
In this situation, the volume of the gas V is constant (since the ball has a constant volume), the number of moles n is also constant, as well as R. So we can rewrite this as
[tex]p \propto T[/tex]
so we see that the pressure is directly proportional to the temperature: therefore, when the ball is heated, the pressure inside the ball increases.
