the highest pressure ever produced in a laboratory setting was about 2000000 atm. if we have a .000010 liter sample of a gas at that pressure until it is equal to 0.275 atm, what would the new volume of that gas be?
2.5
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. The formula can be expressed as:
P1 * V1 = P2 * V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Given:
Initial pressure, P1 = 2000000 atm
Initial volume, V1 = 0.000010 liters
Final pressure, P2 = 0.275 atm
We need to find the final volume, V2.
Substituting the given values into the formula, we get:
(2000000 atm) * (0.000010 L) = (0.275 atm) * V2
Simplifying the equation, we have:
V2 = (2000000 atm * 0.000010 L) / 0.275 atm
V2 = 20 L
Therefore, the new volume of the gas would be 20 liters.