HW_5: Consider a stirred tank heater with a capacity of 10m³. Water is entering and leaving the tank at a constant rate of 100 kg/m³ . The heated water that leaves the tank enters a well insulated section of 0.15 6 m ID pipe, 0.6 m feet from the tank, a thermocouple is placed in this line for recording the tank temperature. The electrical heat input is held constant at 600 kW If the inlet temperature is varied according to the relation Ti=65+3sin45t Where Ti is °C, tis in minutes Find the eventual behavior of Toutput ?

What is the maximum theoretical efficiency possible for an engine operating between 100°C and 400°C?

A certain mechanical device with a mechanism similar to a piston contains a certain amount of gas. Upon compression from 30 L to 10 L, the gas released 450 J of heat. Experiment shows that the external pressure of the mechanical device is given by:Pext = AsinV + BcosV + CsinhV + DcoshVWhere:A = 100B = 80C = 1x10⁻²⁵D = 5x10⁻³⁰sin = sine functioncos = cosine functionsinh = hyperbolic sine functioncosh = hyperbolic cosine functionV = in litersPext = in atmDetermine the change in internal energy of the system in kilojoules.TIP: usually, expressions involving trigonometric functions are in radians.

A turbojet is flying with a velocity of 900 ft/s at an altitude of 20,000 ft, where the ambient conditions are 7 psia and 10°F. The pressure ratio across the compressor is 13, and the temperature at the turbine inlet is 2400 R. Assuming ideal operation for all components and constant specific heats for air at room temperature, determine the pressure at the turbine exit.