A tank contains nitrogen at 300 K temperature and 1.5-bars pressure. The outside of the tank is a partially vacuumed chamber with a pressure of 3000 Pa at 300 K. The tank wall is made of 1-cm-thick...

A tank contains nitrogen at 300 K temperature and 1.5-bars pressure. The outside of the tank is a partially vacuumed chamber with a pressure of 3000 Pa at 300 K. The tank wall is made of 1-cm-thick metal. A crack has developed in the tank wall. Estimate the leakage rate of nitrogen assuming that the crack can be idealized as a smooth-walled rectangular channel 50 μm deep and 15 mm wide.