Question

A 10 L cylinder of gas is stored at room temperature (25 Celsius) and a pressure of 1800 psi. if the gas is transferred to a 6.0 L cylinder, at what temperature would it have to be stored in order for the pressure to remain at 1800 psi?

Answer 1

Since we want the pressure to remain constant we have to use Charles Law of gases, that relates the volume and the temperature at a constant pressure:

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

In this case, we know the values of V1, T1 and V2, which are 10L, 25°C and 6.0L. Using these values we have to find T2:

`\begin{gathered} T2=(V2\cdot T1)/(V1) \\ T2=(6.0L\cdot25)/(10L) \\ T2=15 \end{gathered}`

The gas has to be stored at 15°C.