Answer:
T₂ = 956.0 K
Step-by-step explanation:
Given data:
Initial temperature = 273.15 K
Initial pressure = 1 atm
Final pressure = 3.5 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:
1 atm / 273.15 K = 3.5 atm / T₂
T₂ = 3.5 atm ×273.15 K / 1 atm
T₂ = 956.0 atm. K / 1 atm
T₂ = 956.0 K