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## Homework Statement

A tank with a fixed volume of 0.0800 m

^{3}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?

## Homework Equations

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)(0.08m

^{3})]/[(8.314 J/mol*K)(321K)]=12.1463 mol

I thought I could get the final volume by using

(P

_{1}*V

_{1})/T

_{1}= (P

_{2}*V

_{2})/T

_{2}

and after I obtain V

_{2}, 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 V

_{2}than V

_{1}, 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....