Express the unsteady angular momentum equation in vector form for a control volume that has a constant moment of inertia I, no external moments applied, one outgoing uniform flow stream of velocity V → , and mass flow rate m . .

Explanation:

Recall that the angular momentum equation is given as I∝ = r x FTaking note that the moment of inertia as constant.The velocity of uniform flow is V →The mass flow is mHence, the angular momentum equation in the control volume is given as I∝ = r x mFwhere ∝ is the angular acceleration, r is the position vector from the axis of rotation to any point on the line of action of force.

The last one, because there is the same number of atoms (p, cl, h, and o) on both sides of the reaction.