Ideal gas problem after constraint removed

[Clara Chung]

Homework Statement

Attached below

Relevant Equations

Attached below

Attempt:
P_1 (initial pressure on the left section)
P_2(initial pressure on the right section)
T_f, P_f (final pressure for both sections)
P_1 (V/3) = N/2 k (3T/2)
P_2 (2V/3) = N/2 k (T/2)
P_f V/2 = N/2 k T_f
Resulting in 4 unknowns and 3 equations... Not enough to find T_f...

 

[DrClaude]

You forgot a constraint, namely conservation of energy.