Using K-maps, find the minimum POS of the following: a. f(A, B, C, D) = ∑ m(0, 1, 2, 4, 6, 7, 8, 9, 13, 15) b. f(A, B, C, D) = π M(1, 2, 4, 10, 11, 14) c. f(A, B, C, D) = ∑ m(0, 1, 5, 12, 14, 15) + ∑ d(2, 7, 8, 13) d. f(A, B, C, D) = π M(3, 8, 9, 14) . π D(0, 1, 4, 5, 10, 11)

The thermal expansion or contraction of a given metal is a function of the f a)-density b)-initial temperature c)- temperature difference d)- linear coefficient of thermal expansion e)- final temperature f)- original length

Find the kinematic pressure of 160kpa. for air, r-287 j/ kg k. and hair al viscosity of air at a temperature of 50°c and an absolute (10 points) (b) find the dynamic viscosity of air at 110 °c. sutherland constant for air is 111k

The air in an automobile tire with a volume of 0.015 m3 is at 32°c and 140 kpa gage. determine the amount of air that must be added to raise the pressure to the recommended value of 206 kpa gage. assume the atmospheric pressure to be 128 kpa and the temperature and the volume to remain constant.[r-0.287 kj/kgk]