(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

PV=nRT -> n=PV/RT

3. 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....

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Ideal Gas - tank sprung a leak

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