Answered

A tank of methane gas contains 2.8 m³ of the gas at 20°C. The tank has a pressure-release valve that releases gas into a secondary tank that will hold 0.2m³ of gas if the pressure rises.

At what Celsius temperature will the methane fill both tanks?

Answer :

joseaaronlara

Answer:

The answer to your question is T2 = 20.93°K

Explanation:

Data

Volume 1 = V1 = 2.8 m³

Temperature 1 = T1 = 20°C

Volume 2 = V2 = 0.2 m³

Temperature 2 = T2 = ?

Process

To solve this problem use Charles' law

               [tex]\frac{V1}{T1} = \frac{V2}{T2}[/tex]

Solve for T2

               T2 = [tex]\frac{T1V2}{V1}[/tex]

1.- Convert temperature to °K

T1 = 20 + 273 = 293°K

2.- Substitute values

               T2 = [tex]\frac{(293)(0.2)}{2.8}[/tex]

3.- Simplify

               T2 = [tex]\frac{58.6}{2.8}[/tex]

4.- Result

               T2 = 20.92°K

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