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

A Sample Of Gas At 27 OC And Pressure Of 500 Torrs The Temperature That Changes The Pressure To 800 Torrs Is class=

Sagot :

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

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