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.
Boyle's Law can be mathematically expressed as:
P1 * V1 = P2 * V2
Where P1 and V1 are the initial pressure and volume, respectively, and P2 and V2 are the final pressure and volume, respectively.
Given: P1 = 1 ATM V1 = 10 L V2 = 5 mL = 0.005 L (since 1 mL = 0.001 L)
We need to find P2.
Plugging the values into Boyle's Law equation:
1 ATM * 10 L = P2 * 0.005 L
Simplifying the equation:
10 = P2 * 0.005
Dividing both sides by 0.005:
P2 = 10 / 0.005 P2 = 2000 ATM
Therefore, the pressure that must be applied to reduce the volume to 5 mL (0.005 L) at constant temperature is 2000 ATM.