An air compressor is a device that pumps air particles into a tank. A particular air compressor adds air particles to its tank until the particle density of the inside air is 40 times that of the outside air. If the temperature inside the tank is the same as that outside, how does the pressure inside the tank compare to the pressure outside? Assume atmospheric pressure equal to 100,000 Pa.

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To understand how the pressure inside the tank compares to the pressure outside, we need to consider the relationship between pressure and particle density.

In this scenario, the particle density inside the tank is 40 times that of the outside air. Since the temperature inside and outside the tank is the same, we can assume that the number of particles per unit volume remains constant.

According to the ideal gas law, the pressure of a gas is directly proportional to its particle density. Therefore, if the particle density inside the tank is 40 times greater than the outside, we can infer that the pressure inside the tank is also 40 times greater than the outside.

Given that the atmospheric pressure is 100,000 Pa, the pressure inside the tank would be 40 times that, which is:

Pressure inside the tank = 40 * 100,000 Pa = 4,000,000 Pa.

Therefore, the pressure inside the tank is 4,000,000 Pa, or 4 megapascals, which is 40 times greater than the atmospheric pressure outside.