PROBLEM 42P

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

Solution 42P

The final volume will be 1.14 mL.

Explanation:

Your question involves charles’s law, which states that the volume of a gas is directly proportional to its Kelvin temperature, with pressure and mass remaining constant. This means that if the volume increases, the temperature will also increase, and vice versa.

Equation

V1/T1=V2/T2, where V is volume, and T is temperature in Kelvins.

Known

V1=1.55 mL

T1=95.3∘C+273.15=368.45K

T2=0.0∘C+273.15=273.15K

Unknown

V2

Solution:

Rearrange the equation to isolate V2. Plug in the known values and solve.

V2 = V1T2/ T1

V2= 1.55mL×273.15 K / 368.45K = 1.14 mL