Answer:
480K
Explanations:
According to the Gay Lussac's law, the pressure of a given mass of gas is directly proportional to the temperature provided that the volume remains constant. Mathematically;
[tex]\begin{gathered} P\alpha T \\ P=kT \\ k=\frac{P}{T} \\ \frac{P_1}{T_1}=\frac{P_2}{T_2} \end{gathered}[/tex]
where:
P₁ and P₂ are the initial and final pressure
T₁ and T₂ are the initial and final temperature (in kelvin)
Given the following parameters;
P₁ = 500 torrs
P₂ = 800 torrs
T₁ = 27 + 273 = 300K
Required
Final temperature T₂
[tex]\begin{gathered} \frac{500}{300}=\frac{800}{T_2} \\ \frac{5}{3}=\frac{800}{T_2} \\ 5T_2=3\times800 \\ T_2=\frac{2400}{5} \\ T_2=480K \end{gathered}[/tex]
Therefore the temperature that changes the pressure to 800 torrs is 480K
