Answer:
V₂ = 6.7 dm³
Explanation:
Given data:
Volume of hydrogen = 8.98 dm³
Initial temperature = 38.8 °C
Final volume of hydrogen gas = ?
Final volume = -39.9°C
Solution:
Initial temperature = 38.8 °C (38.8 + 273 = 311.8 K)
Final volume = -39.9°C (-39.9 + 273 = 233.1 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 = 8.98 dm³ × 233.1 K / 311.8 K
V₂ = 2093.238 dm³.K /311.8 K
V₂ = 6.7 dm³
