Answer:
V₁ = 374.71 mL
Step-by-step explanation:
Given data:
Initial volume of gas= ?
Initial temperature = 22°C
Final temperature = 86°C
Final volume = 456 mL
Solution:
Initial temperature = 22°C (22+273 = 295 k)
Final temperature = 86°C (86+273 = 359 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
V₁ = V₂T₁ /T₂
V₁ = 456 mL × 295 K / 359 k
V₁ = 134520 mL.K / 359 k
V₁ = 374.71 mL