Answer:
T₂ = 483.8 K
Step-by-step explanation:
Given data:
Initial volume of balloon = 2.25 L
Initial temperature = 38°C (38+273= 311 K)
Final temperature = ?
Final volume = 3.50 L
Solution:
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
T₂ = V₂T₁/V₁
T₂ = 3.50 L × 311 K / 2.25 L
T₂ = 1088.5 L.K / 298 K
T₂ = 483.8 K