Question

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?

Answer 1

1.15mL

Step-by-step 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_(1) )/(T_(1) ) = (V_(2) )/(T_(2) )`

V and T are the volume and temperatures respectively

1 and 2 are the initial and final states.

Insert parameters and solve;

`(1.55)/(368.3)` =
`(V_(2) )/(273)`

T₂ x 368.3 = 1.55 x 273

T₂ = 1.15mL