Answer:
160.4K
Explanation:
Given parameters:
Initial volume of gas = 2.9L
Initial pressure of gas = 5atm
Initial temperature = 50°C
Final volume = 2.4L
Final pressure of gas= 3atm
Unknown:
Final temperature = ?
Solution:
To solve this problem, we have to apply the combined gas laws.
Mathematically, the law is expressed as;
         [tex]\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }[/tex]
where Pâ is the initial pressure
      Vâ is the initial volume
      Tâ is the initial temperature
     Pâ is the final pressure
     Vâ is the final volume
     Tâ is the final temperature
Since Tâ is the unknown, we must solve for it.
 convert Tâ from °C to K;
    Tâ = 273 + 50 = 323K
Now insert the parameters;
     Â
   [tex]\frac{5 x 2.9}{323} = \frac{3 x 2.4}{T_{2} }[/tex]
[tex]T_{2}[/tex] = 160.4K
