Answer:
T₂ = 550.60 K
Explanation:
Given data:
Initial temperature = 16.3°C (16.3+273 = 289.3 K)
Initial pressure = 9.30 atm
Final temperature = ?
Final pressure = 17.7 atm
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:
9.30 atm / 289.3 K = 17.7 atm/T₂
T₂ = 17.7 atm × 289.3 K / 9.30 atm
T₂ = 5120.61 atm. K /9.30 atm
T₂ = 550.60 K