153k views
3 votes
In a closed system, if a gas is transported to a container with double the volume of the previous container, the gas was held in, what is the gas's new volume?

a The volume of the gas is fixed and will not change.
b The volume of the gas will be double the original volume.
c The volume of the gas will be half the original volume.
d The volume of the gas will be the original volume squared.

1 Answer

3 votes

Final answer:

The correct answer is option b, following Boyle's Law where pressure and volume are inversely proportional in a closed system at constant temperature.

Step-by-step explanation:

The volume of the gas will be double the original volume. When gas is transported to a container with double the volume and the temperature remains constant, according to Boyle's Law (P1V1 = P2V2), if the volume (V2) is doubled (2V1), the pressure (P2) would be halved (P1/2), assuming no gas particles are lost and there is no change in temperature. The gas will expand to fill the new volume available, effectively doubling its volume. This relationship demonstrates that pressure and volume are inversely proportional when the temperature is kept constant. In the referenced closed system, the gas will simply occupy the entirety of the new container's volume.

According to Boyle's law, the pressure and volume of a gas are inversely proportional at constant temperature. When the volume of a container is doubled, the pressure of the gas is halved. Since the question states that the system is closed, the volume of the gas will adjust to fill the new container. Therefore, the gas's new volume will be double the original volume.

For example, if the gas was initially in a container with a volume of 10 liters, it will expand to fill a container with a volume of 20 liters.

User Naros
by
7.9k points

Related questions

2 answers
1 vote
119k views
asked Mar 24, 2024 95.9k views
Timofey Orischenko asked Mar 24, 2024
by Timofey Orischenko
7.3k points
1 answer
1 vote
95.9k views