5.0 g of nitrogen gas at 20°C and an initial pressure of 3.0 atm undergo an isobaric expansion until the volume has tripled. What is the gas pressure after the decrease?

검증된 단계별 안내

Step 1: Identify the type of thermodynamic process. The problem states that the process is isobaric, meaning the pressure remains constant throughout the expansion. Therefore, the gas pressure after the expansion will be the same as the initial pressure.

Step 2: Recall the definition of an isobaric process. In an isobaric process, the pressure does not change, so the final pressure is equal to the initial pressure. Mathematically, \( P_{final} = P_{initial} \).

Step 3: Substitute the given initial pressure into the equation. The initial pressure is \( P_{initial} = 3.0 \; \text{atm} \).

Step 4: Conclude that since the pressure remains constant during an isobaric process, the final pressure \( P_{final} \) is also \( 3.0 \; \text{atm} \).

Step 5: Note that no further calculations are needed because the pressure does not change in an isobaric process. The final pressure is directly equal to the initial pressure.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Isobaric Process

An isobaric process is a thermodynamic process in which the pressure remains constant while the volume and temperature of the gas may change. In this scenario, the nitrogen gas expands at a constant pressure of 3.0 atm, which means that any changes in volume will not affect the pressure until the process is complete.

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. This law is essential for understanding the behavior of gases under various conditions, allowing us to predict how changes in volume and temperature affect pressure, especially in processes like isobaric expansion.

Charles's Law

Charles's Law states that the volume of a gas is directly proportional to its temperature when pressure is held constant. In this case, as the nitrogen gas expands and its volume triples, the temperature will also change, which can be calculated to determine the final state of the gas after the expansion.