Answer:
The final volume of methane gas = 2.5 L
Step-by-step explanation:
Charles' Law: Charles' law states that the volume of a given mass of gas is directly proportional to it's absolute temperature provided the pressure remains constant.
From Charles' law
V₁/T₁ = V₂/T₂
Making V₂ The subject of the equation above,
V₂ = (V₁/T₁)T₂........................... equation 1
Where V₁ = initial Volume, T₁ Initial Temperature, V₂ = Final Volume, T₂ = final Temperature.
Given: V₁ = 5.00 L, T₁ = 298 K, T₂ = 148 K
Substituting these values into equation 1
V₂ = (5.00/298)149
V₂ = 2.5 L.
Therefore the final volume of methane gas = 2.5 L