Answer:
597K
Explanation:
Given parameters:
Initial pressure = 1.2atm
Initial temperature = 125°C = 125 + 273 = 398K
Initial volume = 1.00L
Final pressure = 1.80atm
Final volume = 1.00L
Unknown:
Final temperature = ?
Solution:
To solve this problem, we must understand that at constant volume, the pressure of a given mass of gas varies directly with the absolute temperature.
Mathematically;
[tex]\frac{P_{1} }{T_{1} }[/tex] = [tex]\frac{P_{2} }{T_{2} }[/tex]
where P and T are the pressures
1 and 2 are the initial and final states
Now insert the parameters and solve;
[tex]\frac{1.2}{398}[/tex] = [tex]\frac{1.8}{T_{2} }[/tex]
T₂ x 1.2 = 398 x 1.8
T₂ = 597K
