1. The problem statement, all variables and given/known data One mole of gas compressed to half of its original volume adiabatically, what is the work done? 2. Relevant equations dE= dW + dQ (the d one the w and q should have the line though it) pV^ α= constant = k 3. The attempt at a solution As it is adiabatic dQ = 0 Meaning dE = dW dW = -pdV = kv^-α dv Integrating this with the limits 1/2 V and V. I end up with -κ[-v^(1-α)/(2-2α)] Then I am stuck on where to go from there?