Answer :

We know ideal gas equation


PV=nRT


Where V= volume of gas


R=gas constant=8.31Jmol-1K-1


T=temperature


n=number of moles of gas


P=pressure of gas


Given


Pressure inside the tyre P1=2atm=2Pa


Volume at P1, V1=0.002m3


Reduced volume V2=0.0005m3


Temperature remains constant so T1=T2=300K


Let when the gas is leaked out the pressure P2 becomes equal to atmospheric pressure. So P2=1.0Pa.


Number of moles initially n1



Similarly


Final number of moles n2



So, number of moles leaked out will be n1-n2=0.16-0.02=0.14.


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