Question

As 1.Temperature is directly proportional to pressure
2.Pressure is inversely proportional to Volume

But in summers, let us say at 45^oC if we fill air in tyres of bikes, as the temperature is high, pressure should be high and when pressure becomes high, volume should decrease!

But this does not happen!

Why?

Answer 1

1. By boyle's law volume inversely proportional to pressure, at constant temperature.
2. By charles's law Temperature is directly proportional to volume at constant pressure.
3. by gay lussac's law, the pressure directly proportional to the Kelvin temperature, at constant volume.
pressure of the air increases with increase in temperature keeping volume as a constant and vice versa.
So the bursting of tyre in summer can be explained by using gay lussac's law. Here the volume of given tyre is constant; as temperature increases in summer days, it increases the pressure and sometimes the tyres may burst.
So volume will not change.