n moles of an ideal gas at temperature T1 and volume V1 expand isothermally until the volume has doubled. In terms of n, T₁ , and V₁, what are (a) the final temperature,

Video transcript

Hi, everyone. In this practice problem, we are being asked to express the final temperature T two. In terms of NT one and P one, we will have an initial temperature of T one and volume of P one with a balloon containing N moles of uh gas. The balloon is gradually inflated isothermal until its volume has tripled. We're being asked to express the final temperature two in terms of NP one and P one and the options given are A T two equals to T one BT two equals three, T one. CT two equals T one divided by three and DT two equals T one. So the temperature of the gas in this particular practice problem will actually remain constant during the process. That is being described because the process itself is going to be isothermal. So in an isothermal process, the final temperature will be equal to the initial temperature or TF will be equal to T one. And as a result in this practice problem, when the balloon steadily inflates and triples in volume, the final temperature T two will actually be the same as the beginning temperature T one, which will be the answer to this particular practice problem where T two will be equal to T one at the final temperature. So in this case, option D will be the answer to this particular practice problem and that will be it for this video. If you guys still have any sort of confusion, please feel free to check out our other lesson videos on similar topics available on our website. But other than that, that will be it for this one. And thank you.