A 5.0-L flask contains a gas sample at pressure of 1.0 atm. Calculate the pressure

in the flask if the volume is doubled to 10.0 L, assuming that the temperature and amount of gas are kept constant.

Pressure = 0.5 atm

Explanation:

Data;

V1 = 5.0L

P1 = 1.0atm

P2 = ?

V2 = 10L

From Boyle's law, the volume of a fixed mass of gas is inversely proportional to its pressure provided that temperature remains constant.

Mathematically,

V = k / P

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

P1 * V1 = P2 * V2

(1.0 * 5.0) = (P2 * 10)

5 = 10P2

P2 = 5 / 10

P2 = 0.5atm

The new pressure of the gas is 0.5atm