Question

A 15.0 L tank of gas is contained at a high pressure of
8.20 x 104 torr. The tank is opened and the gas expands into
an empty chamber with a volume of 6.00 x 104 L. Calculate
the new pressure of the gas.

Answer 1

Answer:

20.5 torr

Explanation:

Given parameters:

Volume of tank  = 15L

Pressure of tank  = 8.2 x 10⁴torr

Volume of empty chamber = 6.0 x 10⁴L

Unknown:

New pressure of the gas in this chamber = ?

Solution:

To solve this problem, a good knowledge of the gas law will suffice here. Since pressure and volume relationships are under consideration, the Boyle's law is the proper gas law to apply.

 Boyle's law states that "at constant temperature, the volume of fixed mass of gas is inversely proportional to the pressure of the gas".

Mathematically;

    (Pressure x volume) of tank  = (Pressure x volume ) of empty chamber

      15 x 8.2 x 10⁴   = Pressure of empty chamber x 6 x 10⁴

 Pressure of empty chamber = 20.5 torr