Final answer:
To determine the flow rates of the two feed streams, we can use the mass and energy balance equations. By setting up and solving these equations, we can find the values of x and y, which represent the flow rates of saturated steam and superheated steam, respectively.
Step-by-step explanation:
To solve this problem, we can use the mass and energy balance equations. Let's assume the flow rate of saturated steam at 7 bars is x kg/h and the flow rate of superheated steam at 10 bars and 300 °C is y kg/h.
According to the mass balance, the total flow rate of the two feed streams (x + y) kg/h is equal to 200 kg/h. So, x + y = 200.
Now, using the energy balance equation, we can equate the energy flow rate of the saturated steam to the energy flow rate of the superheated steam. Here, we need to take into account the specific enthalpy of saturated steam at 7 bars and the specific enthalpy of superheated steam at 10 bars and 300 °C. With the given data, we can calculate the specific enthalpy values and use them to set up the energy balance equation.
After solving these two equations simultaneously, we can find the flow rates of the two feed streams, x and y, in kg/h.