A syringe containing 1.55 mL of oxygen gas is cooled from 95.3 o C to 0.0 o C. What is the volume of oxygen gas at 0.0 o C?

1.15mL

Explanation:

Given parameters:

Initial volume  = 1.55mL

Initial temperature = 95.3°C, to kelvin = 95.3 + 273  = 368.3K

Final temperature  = 0°C, to kelvin  = 0 + 273  = 273K

Unknown:

Final volume = ?

Solution:

To solve this problem, we apply Charles's law, it states that "the volume of a fixed mass of gas varies as its absolute temperature if the pressure is constant".

 Mathematically;

V and T are the volume and temperatures respectively

1 and 2 are the initial and final states.

 Insert parameters and solve;

                 =

    T₂ x 368.3 = 1.55 x 273

    T₂ = 1.15mL