1. The problem statement, all variables and given/known data For an ideal gas the slope of an isotherm is given by (∂P/∂v) constant T = -P/v and that of an isochore is (∂P/∂T) constant v = P/T Show that these relations give Pv = RT 2. Relevant equations Pv = RT 3. The attempt at a solution I have never worked with partial derivatives before encountering this problem so I am unfamiliar with the rules and operations involved. I tried setting them equal, adding them to each other but I just don't know where I am going.