Calculate the pressure required to compress a sample of helium gas from 58.5 L (at 4.15 atm) to 31.8 L at constant temperature. Round your answer to 3

significant figures.

To calculate the final pressure of the helium gas after compression, we can use the formula:

P1V1 = P2V2

Where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.

Given:
P1 = 4.15 atm
V1 = 58.5 L
V2 = 31.8 L

Substitute the values into the formula:

4.15 atm * 58.5 L = P2 * 31.8 L

P2 = (4.15 atm * 58.5 L) / 31.8 L
P2 = 7.62 atm

Therefore, the pressure required to compress the helium gas from 58.5 L at 4.15 atm to 31.8 L at constant temperature is 7.62 atm.