Asked by Derek Lehan on Jun 06, 2024

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If 12.0 atm of nitrogen gas in a 14.0 L container is compressed to 3.5 L, what is the resulting pressure?

A) 48.0 atm
B) 6.0 atm
C) 3.5 atm
D) 3.0 atm

Atm

Atmospheric pressure, a unit of measurement representing the pressure exerted by the Earth's atmosphere at sea level.

Container

Any item that can hold materials, products, or substances, preventing their escape or entry of others.

Compressed

Reduced in volume as a result of applied pressure.

  • Apply the combined gas law to solve problems involving changes in pressure, volume, and temperature of gases.
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ZK
Zybrea KnightJun 08, 2024
Final Answer :
A
Explanation :
The pressure increase can be calculated using Boyle's Law, which states that P1V1 = P2V2 for a given amount of gas at constant temperature. Initially, the pressure (P1) is 12.0 atm and the volume (V1) is 14.0 L. The volume is compressed to 3.5 L (V2), and we need to find the new pressure (P2). Rearranging the equation gives P2 = P1V1/V2 = (12.0 atm)(14.0 L) / 3.5 L = 48.0 atm.