a 2.0 L sample of gas at 640 mmhg is allowed to expand into a 8.0l container at a constant temperature what is the new pressure

160mmHg

Explanation:

V1 = 2.0L

P1 = 640mmHg

V2 = 8.0L

P2 = ?

This question requires the use of Boyle's law which states that the volume of a fixed mass of gas is inversely proportional to its pressure provided that temperature remains constant.

Mathematically,

V = k / P, k = PV

P1 * V1 = P2 * V2 = P3 * V3 = ... Pn * Vn

P1 * V1 = P2 * V2

Solve for P2

P2 = (P1 * V1) / V2

P2 = (640 * 2.0) / 8.0

P2 = 160mmHg

The final pressure of the gas is 160mmHg