Answer:
V₂ = 3.6 L
Step-by-step explanation:
Given data:
Initial volume = 4.0 L
Initial temperature = 30.0°C
Final volume = ?
Final temperature = 0.0°C
Solution:
Initial temperature = 30.0°C (30+273= 303 K)
Final temperature = 0.0°C (0+273= 273 K)
The given problem will be solve through the Charles Law.
According to this law, The volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure.
Mathematical expression:
V₁/T₁ = V₂/T₂
V₁ = Initial volume
T₁ = Initial temperature
V₂ = Final volume
T₂ = Final temperature
Now we will put the values in formula.
V₁/T₁ = V₂/T₂
V₂ = V₁T₂/T₁
V₂ = 4.0 L × 273 K / 303 k
V₂ = 1092 L.K / 303 K
V₂ = 3.6 L