Question

Statement of Reynolds Transport Theorem is given below with three blanks.
The rate of change of ............. extensive property can be calculated by summing the rate of change of the amount of same property in the ............. and the rate at which the property is ............. the surface of the control volume.
Which one of the following options correctly fills the blanks by using its comma-separated phrases in sequence?

• A. system, control volume, exiting
• B. control volume, system, exiting
• C. system, control volume, entering
• D. control volume, control volume, entering

Hint:

In the Reynolds Transport Theorem, the rate of change of an extensive property is evaluated by accounting for the changes in the control volume and the flux of the property across the surface of the control volume.

Answer 1

The Correct Option is A

The Reynolds Transport Theorem (RTT) relates the rate of change of an extensive property within a control volume to the rate at which the property enters or exits the control volume. In the RTT, the property is first considered in the system and its total change is then analyzed as it flows in and out of the control volume. 
Therefore, the correct sequence of phrases is: 
- The rate of change of system extensive property can be calculated by summing the rate of change of the amount of the same property in the control volume, and the rate at which the property is exiting the surface of the control volume.
Thus, the correct answer is (A) system, control volume, exiting.