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Monoatomic Gas

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Please provide some help deriving the ideal gas equation for a monatomic gas.

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This solution shows step-by-step calculations and explanations on how to derive the ideal gas equation for a monoatomic gas using principles from the Boltzmann distribution. Diagrams and all formulas used are included for better understanding.

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Water, Monatomic Gas Problem - Calculate Gas Pressure after Prolonged Contact

A beaker with a metal bottom is filled with 20 g of water at 20 degrees Celsius. It is brought into good thermal contact with a 4000 cm3 container holding 0.40 mol of a monatomic gas at 10 atm pressure. Both containers are well insulated from their surroundings.
What is the gas pressure after a long time has elapsed? You can assume that the containers themselves are nearly mass-less and do not affect the outcome.

*(Please see attachment for diagram)

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