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A sealed container with a lid of area 0.004 m^2 is filled with an ideal gas. The container and gas are allowed to reach thermal equilibrium with the surrounding air. If a 2000 N block is needed to keep the lid from being pushed off the container, what is the absolute pressure inside the container (the pressure compared to vacuum)

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Answer:

6 * 10^5 N/m²

Explanation:

Given that :

Area of lid = 0.004m²

Force of block needed to keep the lid from being pushed off the container = 2000 N

Absolute Pressure = atmospheric pressure + force / Area

Force / Area = 2000 N / 0.004 m² = 500,000 = 5 * 10^5

Atmospheric pressure = 1.01325 * 10^5 N/m²

Absolute Pressure = (1.01325 * 10^5) + (5 * 10^5)

Absolute Pressure = 6.01325 * 10^5

= 6 * 10^5 N/m²