We know ideal gas equation
Where V= volume of gas
n=number of moles of gas
P=pressure of gas
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
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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