Answer:
T₂ = 169.89 K
Explanation:
Given data:
Initial volume = 250 cm³
Initial temperature = 10°C (10+273.15 K = 283.15 K)
Final temperature = ?
Final volume = 150 cm³
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 = T₁V₂/V₁
T₂ = 283.15 K × 150 cm³ / 250 cm³
T₂ = 42472.5 K. cm³ / 250 cm³
T₂ = 169.89 K
If pressure of the given gas is kept constant then volume of the gas at 150 cm³ is 169.89 K.
Charles law states that at constant pressure and moles of gas, volume of gas is directly proportional to the temperature of gas and this law will represent as:
V₁/T₁ = V₂/T₂, where
V₁ = Initial volume = 250 cm³
T₁ = Initial temperature = 10°C = 283.15 K
V₂ = Final volume = 150 cm³
T₂ = Final temperature = to find?
T₂ = 283.15 K × 150 cm³ / 250 cm³
T₂ = 42472.5 K. cm³ / 250 cm³
T₂ = 169.89 K
Hence required temperature is 169.89 K.
To know more about Charles law, visit the below link:
https://brainly.com/question/26725812
