In a plant for the recovery of acetone which has been used as a solvent, the acetone is evaporated into a stream of nitrogen gas. A mixture of acetone vapor and nitrogen flows through a duct, 0.3 by \(0.3 \mathrm{~m}\) cross section. The pressure and temperature at one point in the duct are \(106.6 \mathrm{kPa}\) and \(300 \mathrm{~K}\). At this point, the average velocity of the gas is \(3.0 \mathrm{~m} / \mathrm{s}\). A wet-bulb temperature (wick wet with acetone) indicates a temperature at this point of \(270 \mathrm{~K}\). Calculate the kilograms of acetone per second carried by the duct. For \(\mathrm{N}_{2}\) at \(300 \mathrm{~K}\) and \(106.6 \mathrm{kPa}, \mathrm{Pr}=0.716, C_{p, B}=1.041 \mathrm{~kJ} /\) \(\mathrm{kg} \cdot \mathrm{K}, \mu=178 \mu \mathrm{P}\) (Incropera et al., 2007). For acetone vapor, \(C_{p, A}=1.30 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\).