Question #44539

An aqueous solution of the trisaccharide raffinose ($\ce{C18H32O16}$) is placed in an osmotic cell at $300\text{ K}$. In the presence of a dilute acid catalyst, raffinose undergoes a pseudo-first order hydrolysis to yield equimolar amounts of D-glucose, D-fructose, and D-galactose. The initial osmotic pressure of the solution, due solely to raffinose, is $1.50\text{ atm}$. If the pseudo-first order rate constant for the hydrolysis is $k = 2.0 \times 10^{-3}\text{ s}^{-1}$, what is the initial rate of change of the osmotic pressure, $\left( \frac{d\pi}{dt} \right)_{t=0}$, of the solution? (Assume ideal behavior and that the volume of the solution remains constant).