Prоblem 3 (35 pts) A rigid, аdiаbаtic tank with vоlume 2 m3 is initially filled with pure hydrоgen at a temperature of 300 K and a pressure of 500 kPa. The tank is connected through a valve to a source of pure helium that is at a temperature of 500 K and a pressure of 3000 kPa. The valve is opened and 2 kg of helium is allowed to enter the tank. Model the hydrogen and helium as ideal gases with constant specific heat capacities. The molar heat capacities, molar masses and the universal gas constant are listed below. The ideal gas entropy relations are attached to the end of this exam. Helium Hydrogen molar cP 20786 J/kmol-K 28528 J/kmol-K molar cv 12472 J/kmol-K 20214 J/kmol-K MW 4.003 kg/kmol 2.016 kg/kmol Runiv 8314.3 J/kmol-K a.) Determine the mass and number of kmols of hydrogen initially in the tank (kg and kmol). Number of kmoles: