Question

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

Answer 1

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;

`\begin{gathered} P\alpha T \\ P=kT \\ k=(P)/(T) \\ (P_1)/(T_1)=(P_2)/(T_2) \end{gathered}`

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

`\begin{gathered} (500)/(300)=(800)/(T_2) \\ (5)/(3)=(800)/(T_2) \\ 5T_2=3*800 \\ T_2=(2400)/(5) \\ T_2=480K \end{gathered}`

Therefore the temperature that changes the pressure to 800 torrs is 480K