Answer:
The molar mass of the exhaust gases tells us that they are made up of molecules with a mass of 14 grams/mole. To find the mass flow rate through the nozzle, we need to know the mass of the gas flowing through the nozzle per unit of time. We can use the ideal gas law to find the mass of the gas:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
The volume of the gas flowing through the nozzle can be found by multiplying the cross-sectional area of the nozzle (0.7 m2) by the velocity of the gas (100 m/s). The mass of the gas can then be found by multiplying the number of moles of gas by the molar mass of the gas. The mass flow rate through the nozzle can be found by dividing the mass of the gas by the time it takes the gas to flow through the nozzle.
To find the stagnation pressure and temperature, we need to use the stagnation energy equation. The stagnation energy is the total energy of the gas, including both kinetic and internal energy. The stagnation pressure is the pressure that the gas would have if all of its kinetic energy were converted to internal energy. The stagnation temperature is the temperature that the gas would have if all of its kinetic energy were converted to internal energy.
To find the highest velocity that could be generated by expanding this flow, we need to use the isentropic flow equation for a perfect gas. This equation relates the velocity, pressure, and temperature of the gas at different points in the nozzle.
If the pressure at some other point in the nozzle is 100 kPa, we can use the isentropic flow equation to find the temperature and velocity at this point in the flow, assuming the flow is one-dimensional and isentropic.