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in this screencast were looking at a gas tank that has a starting pressure e1 a starting temperature t1 and the tank has some volume of gas and were going to open the valve and let some gas be released and then shut the valve and we would have a pressure gauge on the tank so we can measure the pressure after we release some amount of gas the question is at that pressure whats the gas temperature and how much gas remains in the tank and of course we can calculate were assuming ideal gas so we can calculate the number of moles that we start with just from the ideal gas law we know the pressure the volume and the temperature so the number of moles is n1 now to solve this problem way were going to look at it is to visualize the gas that remains when we close the valve so let me make a drawing to make that a little clearer so im going to look at just a fraction of our starting gas so were still at the same pressure and the same temperature but were looking at only a fraction of the
