A tank with a fixed volume of 0.0800 m3 is filled with an ideal gas at a pressure of 4.00 atmospheres and a temperature of 48.0° C. Due to a small leak, some of the gas leaks out. Later it is found that the pressure in the tank is 3.20 atmospheres when the temperature is 20.0° C. How much of the gas leaked from the tank?
PV=nRT -> n=PV/RT
The Attempt at a Solution
I solved for the initial number of moles using the initial values
n= [(405.2E3 Pa)(0.08m3)]/[(8.314 J/mol*K)(321K)]=12.1463 mol
I thought I could get the final volume by using
(P1*V1)/T1 = (P2*V2)/T2
and after I obtain V2, I thought I could get the number of moles so that i could plug it into n=PV/RT to get the final number of moles left
and then use the initial numbers of moles and subtract the numbers of moles left in order to give me the # of moles that escaped.
But ofcourse, the answer I came up with was ridiculous. I had a higher V2 than V1, which ofcourse doesn't make sense when some of the gas supposedly leaked out into the environment.
Please help! Any & all help is much appreciated! Thank you in advance for your time...