Water flows through a tube with a mean velocity of 0.2 m/s. the mean inlet temperature is 20°c and the inside diameter of the tube is 0.5 cm. the water is heated with a uniform surface heat flux of 0.6 w/cm^2. determine:
a) the length required for the outlet temperature to reach 80°c.
b) surface temperature at the outlet.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Refrigerant 134a enters an insulated compressor operating at steady state as saturated vapor at -26°c with a volumetric flow rate of 0.18 m3/s. refrigerant exits at 9 bar, 70°c. changes in kinetic and potential energy from inlet to exit can be ignored. determine the volumetric flow rate at the exit, in m3/s, and the compressor power, in kw.

During a steady flow process, the change of energy with respect to time is zero. a)- true b)- false