Consider three vectors a⃗ ,b⃗ and c⃗ all lying in the xy plane. vector a⃗ has length 6.2 and makes an angle of 131 degrees with the x-axis. vector b⃗ has length 7.3 and makes an angle of 32 degrees with the x-axis. the vector d⃗ =a⃗ +b⃗ +c⃗ has x-component dx = 3.1 and y-component dy = 6.7 .a) find the magnitude of the vector c⃗ .b) find the angle in degrees that vector c⃗ makes measured counterclockwise from the x-axis.

When a neutrally charged atom loses an electron to another atom, the result is the creation of a. two charged atoms. b. two negatively charged atoms. c. two positively charged atoms. d. two neutrally charged atoms.

According to newton's second law, when the same force is applied to two objects of different masses, a the object with greater mass will experience a great acceleration, and the object with less mass will experience an even greater acceleration, b. the object with greater mass will experience a smaller acceleration, and the object with less mass will experience a greater acceleration, c. the object with greater mass will experience a greater acceleration, and the object with less mass will experience a smaller acceleration, d. the object with greater mass will experience a small acceleration, and the object with less mass will experience an even smaller acceleration.

As part of an industrial process, air as an ideal gas at 10 bar, 400k expands at steady state through a valve to a pressure of 4 bar. the mass flow rate of air is 0.5 kg/s. the air then passes through a heat exchanger where it is cooled to a temperature of 295k with negligible change in pressure. the valve can be modeled as a throttling process, and kinetic and potential energy effects can be neglected. (a) for a control volume enclosing the valve and heat exchanger and enough of the local surroundings that the heat transfer occurs at the ambient temperature of 295 k, determine the rate of entropy production, in kw/k. (b) if the expansion valve were replaced by an adiabatic turbine operating isentropically, what would be the entropy production? compare the results of parts (a) and (b) and discuss.