Find an equation for the transient density of the blood emerging from the ventricle after flow is started from the catheter, pout (t), before it reaches steady state.

1. Blood with a density of 1 flows into the left ventricle (ventricle volume =V ) from the left atrium of a mouse at a constant flow rate of Q1. A small catheter is introduced to the left ventricle. At time t= 0 , a solution with density of 2 is infused into the ventricle at a constant flow rate of Q2 and mixes with the blood entering from the atrium. Assume the blood in the left ventricle is well-mixed, ventricular volume remains constant, and no blood is lost through the walls of the ventricle. Solve parts a-d by hand