Question

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 1

The answer to your question is T2 = 20.93°K

Step-by-step 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

`(V1)/(T1) = (V2)/(T2)`

Solve for T2

T2 =
`(T1V2)/(V1)`

1.- Convert temperature to °K

T1 = 20 + 273 = 293°K

2.- Substitute values

T2 =
`((293)(0.2))/(2.8)`

3.- Simplify

T2 =
`(58.6)/(2.8)`

4.- Result

T2 = 20.92°K