Answer:
T₂ = 244.5 K
Explanation:
Given data:
Initial pressure = 3.90 atm
Initial temperature = 298 K
Final pressure = 3.20 atm
Final temperature = ?
Solution:
According to Gay-Lussac Law,
The pressure of given amount of a gas is directly proportional to its temperature at constant volume and number of moles.
Mathematical relationship:
P₁/T₁ = P₂/T₂
Now we will put the values in formula:
3.90 atm / 298 K = 3.20 atm/T₂
T₂ = 3.20 atm × 298 K / 3.90 atm
T₂ = 953.6atm. K /3.90 atm
T₂ = 244.5 K