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Extracting oxygen from water to enable underwater breathing without a tank is a concept that has been explored in various forms. However, developing a practical and efficient device for such a purpose is challenging and has not been achieved on a large scale. While there have been advancements in oxygen extraction from water, they are primarily used in industrial or scientific applications and are not yet suitable for personal underwater breathing.

One commonly known method of extracting oxygen from water is through electrolysis, where an electric current is passed through water to break it down into oxygen and hydrogen gases. However, this process is energy-intensive and typically requires a significant amount of power to extract a sufficient quantity of oxygen for breathing purposes.

Another approach involves the use of membrane technology, where specialized membranes selectively allow the passage of oxygen molecules while blocking other substances. This method has shown promise in laboratory settings, but it is still in the experimental stage and has not been developed into a practical device for underwater breathing.

Furthermore, there are additional challenges to consider when breathing underwater without a tank, such as the need to filter out carbon dioxide and regulate the oxygen supply based on the diver's demand. These factors make the development of a compact, efficient, and safe device for underwater breathing a complex engineering problem.

While the concept of breathing underwater without a tank is intriguing, current technology and scientific understanding have not yet provided a viable solution for personal use. It is possible that future advancements in materials science, energy efficiency, and membrane technology could lead to the development of such a device, but no practical solution exists.

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