An aluminum pipe has a length of 60 m at a temperature of 100c. an adjacent steel pipe at the same temperature is 10 mm longer than the aluminum pipe. at what temperature (degrees celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (assume that the coefficients of thermal expansion of aluminum and steel are αa =23 x10-6/0c and αs=12 x10-6/0c, respectively.)

Atank with constant volume contains 2.27 kg of a mixture of water phases (liquid-vapor). in the initial state the temperature and the quality are 127 °c and 0.6, respectively. the mixture is heated until the temperature of 160 oc is reached. illustrate the process in a t-v diagram. then, determine (1) the mass of the vapor in kg at the initial state, (2) the final pressure in kpa.