a sample of gas at 27 oC and pressure of 500 torrs. the temperature that changes the pressure to 800 torrs is ..........

480K
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