There were much written quoting several Tik-Tok & Fakebook scientists on the implosion of this tiny sub heating up near to the temperature of the Sun. I have yet to find this claim made by a single reputed scientist.
These Tik-Tok scientists must be reasoning out that the implosion turned this tiny sub into a nuclear fusion reactor to reach the temperature of the Sun.
But I don't think so, and I am not saying I am right too. Of course, basic Physics will tell you that the temperature can reach to an extremely high value.
Note that a even a tiny air compressor heats up. Any compressed gas heats up and the given the pressure it's easily calculated. It's determined by a few equations. In an adiabatic compression process, (isentropic compression), the heat generated by compressing air is not removed from the system. Instead, all the heat generated during the act of compression stays in the compressed air. The equation governing this process is represented as PV^γ = k, or volume to the power of gamma, multiplied by pressure, equals a constant.
γ for air is usually taken as 1.4
Then with the ideal gas law we have PV = nRT, where R is the ideal gas constant. Combining these two will yield P^(1−γ)T^γ = const which gives the relationship between T & P.
So assuming that the implosion stops when the air reaches the water pressure at say 3000m, just calculate and check whether it reaches the temperature of the Sun, which is approx 5700K.
Note that the temperature calculated using the above equation is not going to be correct at all. Because it assumes an ideal implosion, which isn't the case with the Titan. We never know whether the hull shattered completely, in which case the compression of air in a confined space would not happen. Moreover, this happened in deep sea, in cold water surroundings.
However, the claim that the humans would not have felt anything can hold true. Our perception takes 100ms, but within 20 ms the Titan is bust. But also note that our bones can withstand a much higher pressure. These will not be powdered to dust at this depth.
Some had queried how can fish survive at these depths... Sure humans can't. We have air in our system. Our eardrums would rupture, lungs fill up with blood and within an instant we are gone. This is not the case for fish. Many fish do not have air pockets that can be compressed, especially since they don’t use lungs to breathe.
But also note that Whales who breathe like us can survive too. The Beaked Whale, which can dive up to about 10,000 ft uses a trick. The lungs of these creatures are completely compressible, meaning that they can force all of the gases in their lungs into their bloodstream and muscles, where it can essentially dissolve under the pressure. These organs have adapted to hold more myoglobin (oxygen-storing protein in muscles) and haemoglobin.
This collapse of the lungs also prevents gas exchange at the alveoli, thus preventing nitrogen from entering the bloodstream. You may have heard about the "bends" that the divers experience. Like humans the whales have learnt to rise slowly allowing decompression to take place.
For fish who dwell at 25,000 ft - their survival is due to the presence of a particularly hydrophilic substance called trimethylamine oxide (TMAO), which prevents the distortion and compression of proteins and other vital molecules within the body under intense pressure. The TMAO provides a structural anchor being able to resist the extreme pressure., But there's a limit to which even TMAO can protect.
These Tik-Tok scientists must be reasoning out that the implosion turned this tiny sub into a nuclear fusion reactor to reach the temperature of the Sun.
But I don't think so, and I am not saying I am right too. Of course, basic Physics will tell you that the temperature can reach to an extremely high value.
Note that a even a tiny air compressor heats up. Any compressed gas heats up and the given the pressure it's easily calculated. It's determined by a few equations. In an adiabatic compression process, (isentropic compression), the heat generated by compressing air is not removed from the system. Instead, all the heat generated during the act of compression stays in the compressed air. The equation governing this process is represented as PV^γ = k, or volume to the power of gamma, multiplied by pressure, equals a constant.
γ for air is usually taken as 1.4
Then with the ideal gas law we have PV = nRT, where R is the ideal gas constant. Combining these two will yield P^(1−γ)T^γ = const which gives the relationship between T & P.
So assuming that the implosion stops when the air reaches the water pressure at say 3000m, just calculate and check whether it reaches the temperature of the Sun, which is approx 5700K.
Note that the temperature calculated using the above equation is not going to be correct at all. Because it assumes an ideal implosion, which isn't the case with the Titan. We never know whether the hull shattered completely, in which case the compression of air in a confined space would not happen. Moreover, this happened in deep sea, in cold water surroundings.
However, the claim that the humans would not have felt anything can hold true. Our perception takes 100ms, but within 20 ms the Titan is bust. But also note that our bones can withstand a much higher pressure. These will not be powdered to dust at this depth.
Some had queried how can fish survive at these depths... Sure humans can't. We have air in our system. Our eardrums would rupture, lungs fill up with blood and within an instant we are gone. This is not the case for fish. Many fish do not have air pockets that can be compressed, especially since they don’t use lungs to breathe.
But also note that Whales who breathe like us can survive too. The Beaked Whale, which can dive up to about 10,000 ft uses a trick. The lungs of these creatures are completely compressible, meaning that they can force all of the gases in their lungs into their bloodstream and muscles, where it can essentially dissolve under the pressure. These organs have adapted to hold more myoglobin (oxygen-storing protein in muscles) and haemoglobin.
This collapse of the lungs also prevents gas exchange at the alveoli, thus preventing nitrogen from entering the bloodstream. You may have heard about the "bends" that the divers experience. Like humans the whales have learnt to rise slowly allowing decompression to take place.
For fish who dwell at 25,000 ft - their survival is due to the presence of a particularly hydrophilic substance called trimethylamine oxide (TMAO), which prevents the distortion and compression of proteins and other vital molecules within the body under intense pressure. The TMAO provides a structural anchor being able to resist the extreme pressure., But there's a limit to which even TMAO can protect.
