Synthetic diamonds can be manufactured at pressures of 6.00 x 104 atm. If we took 2.00 liters of gas at 1.00 atm and compressed it to a pressure of 6.00 x 104 atm, what would the volume of that gas be?

The answer to your question is V1 = 3.3 x 10⁻⁵ l

Explanation:

Data

Pressure 1 = P1 = 6 x 10⁴ atm

Volume 1 = V1 = ?

Pressure 2 = P2 = 1 atm

Volume 2 = V2 = 2 l

Process

To solve this problem use Boyle's law

P1V1 = P2V2

-Solve for V1

V1 = P2V2 / P1

-Substitution

V1 = (1) (2) / 6 x 10⁴

-Simplification

V1 = 2 / 6 x 10⁴

-Result

V1 = 3.3 x 10⁻⁵ l