Answer:
T₂ = 319.13 K
Step-by-step explanation:
Given data:
Initial volume of gas = 1.16 L
Initial temperature = 23°C
Final temperature = ?
Final volume = 1.25 L
Solution:
Initial temperature = 23°C (23+273.15 = 296.15 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
T₂ = V₂ T₁ / V₁
T₂ = 1.25 L × 296.15 K / 1.16 L
T₂ = 370.19 L.K / 1.16 L
T₂ = 319.13 K