Suppose a random cryptosystem is obtained as follows. The message consists of two independent random variables X, Y both generated by spinning a wheel with arcs labeled 0 and 1, both of lengthes 1/2. Let there be four equiprobalbe keys with the following corresponding encrypting transformations:

K1: (X1, X2) --- > (X1, X2) k2: (X1, X2) --- > (X2, X1) k3: (X1, X2) --- > (X1, (X1+X2) mod 2) k4: (X1, X2) --- > ((X1+X2) mod 2, X1)

Calculate the entropy of the cyphertext.

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.

The y form of iron is known as: a) ferrite b) cementite c) perlite d) austenite

Line joining liquid phase with liquid and solid phase mixture is known as: a) liquidus b) solidus c) tie line d) none of the mentioned