Helium is a very important element for both industrial and research applications. In its gas form it can be used for welding, and since it has a very low melting point (only 0.95 K under 2.5 MPa) it can be used in liquid form to cool superconducting magnets, such as those found in particle physics experiments. Say we have a cylinder of n = 85 moles of Helium gas at room temperature (T = 20° C). The cylinder has a radius of r = 12.5 cm and a height h = 1.51 m. A: What pressure (in kPa) is the helium gas under? B: In principle, these tanks could fail if the temperature of the Helium started rising - if they were stored in a hot environment, for instance. To determine how much of a danger this is, calculate the temperature (in C) the Helium gas would have to be to make the tank start to crack.
Helium is a very important element for both industrial and research applications. In its gas form it can be used for welding, and since it has a very low melting point (only 0.95 K under 2.5 MPa) it can be used in liquid form to cool superconducting magnets, such as those found in particle physics experiments. Say we have a cylinder of n = 85 moles of Helium gas at room temperature (T = 20° C). The cylinder has a radius of r = 12.5 cm and a height h = 1.51 m.
A: What pressure (in kPa) is the helium gas under?
B: In principle, these tanks could fail if the temperature of the Helium started rising - if they were stored in a hot environment, for instance. To determine how much of a danger this is, calculate the temperature (in C) the Helium gas would have to be to make the tank start to crack.
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