The pressure of a gas kept in an isothermal container is 200 kPa. If half the gas is removed from it, the pressure will be

Given:


Pressure P=200kPa


1kPa= Pa


We know that ideal gas equation is


PV=nRT


Where V= volume of gas


R=gas constant


T=temperature


n=number of moles of gas


So,


=200Pa ……(i)


Now according to question half of the gas is removed. That means number of moles left behind are also halved.


Therefore, number of moles left behind n’=


So new pressure will be P’=


Putting the value of n’ in above equation we get



From equation (i) we can write P’ as



Pa=100kPa.


New pressure will be 100kPa.

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