synthetic diamonds can be manufactured at pressures of 60000 atm. if we took 2.00 liters of gas at 1.00 atm and compressed it to a pressure of 60000 atm, what would the volume of that gas be?
To solve this problem, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure when temperature is constant.
Boyle's Law equation: P1 * V1 = P2 * V2
Where:
P1 = initial pressure (1.00 atm)
V1 = initial volume (2.00 liters)
P2 = final pressure (60000 atm)
V2 = final volume (unknown)
We can plug in the known values and solve for V2:
(1.00 atm) * (2.00 L) = (60000 atm) * V2
By rearranging the equation, we can isolate V2:
V2 = (1.00 atm * 2.00 L) / (60000 atm)
Now let's calculate:
V2 = 0.00003333 liters
Therefore, if we compress 2.00 liters of gas from 1.00 atm to 60000 atm, the volume of the gas will be approximately 0.00003333 liters.