If you try a $pV=nRT$ calculation on these data, you see that the gas is already at around 10 times its initial volume with $\pu{40 mmHg}$ pressure and a $\pu{213 K}$ temperature, and that at the $\pu{50 km}$ point the volume is increased 700 times! And how much helium do you need according to the mass that the balloon has to carry? "How Helium Balloons Work" (1) The pressure of helium in each balloon is 1.1 10 5 Pa. It's because the hydrogen and helium atoms are lighter than a nitrogen atom. Helium - Element information, properties and uses | Periodic Table (If you're sceptical, I checked Equation \ref{1} with these calculations.). Balloon is compressed at a constant temperature causing the volume to decrease to 0.025m^3. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. The balloon is released and it rises to an altitude of 30,000 i. Use MathJax to format equations. Learn more about our help with Assignments: Thank you! How do you actually find maximum volume of the balloon according to the height that it has to reach and temperature at that height? 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. \implies n &= \frac{PV}{RT} Volume and weight of the substance is calculated using its molecular weight, density and number of moles. The most straightforward approach would be to sub-in the conditions at an altitude of $30$km to Equation \ref{1}. And although this data is readily available, as we have found, it is not all that accurate. Faster molecules hit the walls of the vessel more intensely. = 6.00 g 4.00 g/mol = 1.50 mol. \implies M &= V\rho The output density is given as kg/m 3, lb/ft 3, lb/gal (US liq) and sl/ft 3 . So how large will the balloon be at its peak? There are three certainties in this world: Death, Taxes and Homework Assignments. It is present in all stars. Making statements based on opinion; back them up with references or personal experience. 2023 BrainRouter LTD. All rights reserved. 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.
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