Saturated ammonia vapor at a pressure of \(1003 \mathrm{kPa}\) is condensed as it flows through a \(25-\mathrm{mm}\) tube. The tube length is \(0.5 \mathrm{~m}\) and the wall temperature is maintained uniform at \(5^{\circ} \mathrm{C}\). If the vapor exits the tube at a flow rate of \(0.002 \mathrm{~kg} / \mathrm{s}\), determine the flow rate of the vapor at the inlet. Assume the Reynolds number of the vapor at the tube inlet is less than 35,000 . Is this a good assumption?

Question: Determine the flow rate of saturated ammonia vapor at the inlet of a tube given the system conditions, and evaluate if the assumption of the Reynolds number being less than 35,000 at the inlet is a good one. Answer: To find the flow rate at the inlet, we first determined the vapor properties at the given temperature and pressure. Next, we calculated the Reynolds number at the inlet and utilized the mass balance principle to find the flow rate at the inlet. Finally, we compared the calculated Reynolds number to the given assumption. The flow rate at the inlet is [insert calculated value] kg/s. The assumption of the Reynolds number being less than 35,000 was [insert conclusion: justified/not justified] based on our calculations.