The root-mean-square (RMS) value of a periodic function x(t) is given by rms = √ 1 T ∫ x2() T 0 , with T being the period. Use this equation to show that the RMS value of a sinusoidal wave () = m cos( + theta) V is rms = m √2 ⁄ . You may need the trigonometric identity cos2 theta = 1 2 (cos2theta + 1).

Amass of m 1.5 kg of steam is contained in a closed rigid container. initially the pressure and temperature of the steam are: p 1.5 mpa and t 240°c (superheated state), respectively. then the temperature drops to t2= 100°c as the result of heat transfer to the surroundings. determine: a) quality of the steam at the end of the process, b) heat transfer with the surroundings. for: p1.5 mpa and t 240°c: enthalpy of superheated vapour is 2900 kj/kg, specific volume of superheated vapour is 0. 1483 m/kg, while for t 100°c: enthalpy of saturated liquid water is 419kj/kg, specific volume of saturated liquid water is 0.001043m/kg, enthalpy of saturated vapour is 2676 kj/kg, specific volume of saturated vapour is 1.672 m/kg and pressure is 0.1 mpa.

Acompressor receives the shaft work to decrease the pressure of the fluid. a)- true b)- false

The drive force for diffusion is 7 fick's first law can be used to solve the non-steady state diffusion. a)-true b)-false