Question

(c) O2 gas is transferred from a 3 L vessel containing oxygen at 4 atm to an evacuated 20 L vessel at a constant temperature of 350 K. What is the pressure inside the 20 L vessel after the transfer? (2 marks)

Answer 1

After the transfer the pressure inside the 20 L vessel is 0.6 atm.

Step-by-step explanation:

Considering O2 as an ideal gas, it is at an initial state (1) with V1 = 3L and P1 = 4 atm. And a final state (2) with V2 = 20L. The temperature remain constant at all the process, thus here applies the Boyle-Mariotte law. This law establishes that at a constant temperature an ideal gas the relationship between pressure and volume remain constant at all time:

`P x V = k`

Therefore, for this problem the step by step explanation is:

`P_(1) xV_(1) = P_(2) xV_(2)`

Clearing P2 and replacing

`P_(2)= (P_(1) xV_(1))/(V_(2) ) = (4atmx3L)/(20L) = 0.6atm`