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#### 1) For problems 1

###### Math

1) For problems 1.1-1.10 below, match the appropriate definition in the right column with each term in the left column.

 1.1 I Boundary 1.2 _B_ Closed system 1.3 G_ Control volume 1.4 E_ Extensive property 1.5 H_ Intensive property 1.6 D_ Process 1.7 _J Property 1.8 _A State 1.9 F_ Surroundings 1.10 C_ System A.The condition of a system as described by its properties B.A region of space through which mass may not flow C.Whatever is studied D.A transformation from one state to another E.A property whose value for an overall system is the sum of its values for the parts into which the system is divided F.Everything external to the system G.A fixed quantity of matter H.A property whose value is independent of the size or extent of a system and may vary from place to place within the system at any moment I.Distinguishes the system from its surroundings J.A macroscopic characteristic of a system to which a numerical value can be assigned at a given time without knowledge of the previous behavior of the system

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2.   A special type of closed system that does not interact in any way with its surroundings is an _

3.  A system is said to be at _                  if none of its properties changes with time

4. A control volume is a system that (a) always contains the same matter.

1. allows a transfer of matter across its boundary.
2. does not interact in any way with its surroundings.
3.  (d) always has a constant volume.

5.  A gas contained within a piston-cylinder assembly undergoes Process 1-2-3 shown on the pressure-volume diagram in Fig. P1.17C. Process 1-2-3 is

# FIGURE P 1.17C

1. a constant-volume process followed by constant-pressure compression.
2. constant-pressure compression followed by a constant-volume process. (c) a constant-volume process followed by a constant-pressure expansion.

(d)constant-pressure expansion followed by a constant-volume process

6.  A system is at steady state if

(a)none of its properties changes with time.

(b)none of its properties changes with location within the system.

(c)none of its properties changes with time or with location within the system. (d)none of the above.

7: When a system is isolated, (a) its mass remains constant.

1. its temperature may change.
2. its pressure may change.
3. all of the above. Eg. ice + hot water in an insulated box

8: The list consisting only of intensive properties is (a) volume, temperature, pressure.

1. specific volume, mass, volume.
2. pressure, temperature, specific volume.
3. mass, temperature, pressure.

Using Specific Volume, Volume, and Pressure

9: A closed system consists of 0.3 kmol of octane occupying a volume of 5 m3. Determine (a) the weight of the system, in N, and (b) the molar- and mass-based specific volumes, in m3/kmol and m3/kg respectively. Let g = 9.81 m/s2.

1. W = mg = 336.15 N
2. 0.146 m3/kg, 16.67 m3/kmole

10.       Figure P1.24 shows a gas contained in a vertical piston-cylinder assembly.  A vertical shaft whose cross-sectional area is 0.8 cm2 is attached to the top of the piston.  Determine the magnitude, F, of the force acting on the shaft, in N, required if the gas pressure is 3 bar.  The masses of the piston and attached shaft are 24.5 kg and 0.5 kg, respectively.  The piston diameter is 10 cm.  The local atmospheric pressure is 1 bar.  The piston moves smoothly in the cylinder and g = 9.81 m/s2.

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