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On a nice, clear, dry 25C day at sea level, atmospheric pressure decreases by about 12% per km, where the air temperature decreases by about 3% per km. If I have 45 liters of helium in a balloon at 25 degress celcius and National Institute of Standards and Technology; U.S. Department of Commerce; 1401 Constitution Ave N.W. Answer: When you say "how much", and "lift" practically what you mean is "What VOLUME of He at atmospheric pressure will lift a given object using a conventional baloon-like contraption. What video game is Charlie playing in Poker Face S01E07? Thanks to the ideal gas law, the volume of the balloon doesn't really depend on the fact that the gas inside is helium in particular. (If you're sceptical, I checked Equation \ref{1} with these calculations.). The volume of the balloon is 0.030m ^3. No matter where you study, and no matter, Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied for., Numbers and figures are an essential part of our world, necessary for almost everything we do every day. Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form. How does a hot air balloon work: Buoyancy in gases PV &= nRT \\ Thanks for contributing an answer to Physics Stack Exchange! It depends on the size of the balloon. On a hot day, a party balloon is filled with helium. We are now in a position to calculate how much helium we need! According to this source, the temperature at sea level is $15.0$C $ \approx 288.2$K, the pressure is $101$kPa, and the density is $1.23\text{kg}\text{m}^{-3}$. Key Takeaways: Helium Balloons. Is a PhD visitor considered as a visiting scholar? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. In this modified thought experiment, the density of the gas inside the balloon is exactly the same as the density of the surrounding air, assuming that both pressure and temperature are equalized. Thanks to the ideal gas law, the volume of the balloon doesn't really depend on the fact that the gas inside is helium in particular. The upthrust is determined by the volume of the object (in this case the volume of the air balloon), and the density of the fluid (here the density of the air at different altitudes). Where does this (supposedly) Gibson quote come from? Both pressure and temperature will increase -- but temperature does not rise so fast that the volume will stay constant!).