An inflated balloon contains X air molecules. After some time the volume of the balloon is found to be the half at the same temperature and pressure when a few air molecules are expelled out. a)How many molecules will be there in the balloon now? b) Which is the gas law associated with this?

(a): The balloon will contain number of molecules now.

(b): The gas law associated with this is Avogadro's law.

Explanation:

Avogadro's law states that the volume of the gas is directly proportional to the number of moles of the gas at constant pressure and temperature

Mathematically,

                  (At constant pressure and temperature)

OR

              .....(1)

where,

= Initial volume and number of moles

= Final volume and number of moles

We are given:

Putting values in equation 1, we get:

(a):

If number of moles of gas contains X number of molecules

So, number of moles of gas will contain = number of molecules

Hence, the balloon will contain number of molecules now.

(b): The law used is Avogadro's law.

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