Here are the essential concepts you must grasp in order to answer the question correctly.
Ideal Gas Law
The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. In this scenario, since the temperature is constant and the volume of the connecting lines is negligible, the pressure in the system can be analyzed using this law to determine how the pressures in the individual bulbs affect the overall pressure when the stopcocks are opened.
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Dalton's Law of Partial Pressures
Dalton's Law states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of each individual gas. When the stopcocks are opened, the gases from the three bulbs will mix, and the total pressure can be calculated by adding the partial pressures of the gases in bulbs A, B, and C, assuming they behave ideally.
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Dalton's Law and Partial Pressure
Constant Temperature Process
A constant temperature process, or isothermal process, occurs when a gas expands or compresses without changing its temperature. In this question, since the temperature remains constant, the relationship between pressure and volume for the gases in the bulbs will follow the principles of isothermal behavior, allowing for the application of the Ideal Gas Law and Dalton's Law to find the final pressure in the system.
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