What is the net heat for the process → b→f on the pV diagram illustrated below? The gas is diatomic. P 3Po Po a A. 23/2 povo B. 69/2 povo C. 21/2 Povo O. 29/2 poVo E. 73/3 povo b f 4V₁ V 4

Elements Of Electromagnetics
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### Net Heat for a Gas Process on a pV Diagram

#### Question:
What is the net heat for the process \( i \rightarrow b \rightarrow f \) on the pV diagram illustrated below? The gas is diatomic.

#### Diagram Explanation:

The pV diagram consists of the following points:
- Point \( i \) located at pressure \( 3p_0 \) and volume \( V_0 \).
- Point \( b \) located at pressure \( 3p_0 \) and volume \( 4V_0 \).
- Point \( a \) located at pressure \( p_0 \) and volume \( V_0 \).
- Point \( f \) located at pressure \( p_0 \) and volume \( 4V_0 \).

These points form the shape of a right-angle triangle and a rectangle on the pV graph.

#### Graph Details:
- The vertical axis represents pressure (\( p \)).
- The horizontal axis represents volume (\( V \)). 
- The volumes \( V_0 \) and \( 4V_0 \) are marked on the horizontal axis.
- The pressures \( p_0 \) and \( 3p_0 \) are marked on the vertical axis.
  
Vertices are connected as follows:
- \( i \) to \( b \) (horizontal line at pressure \( 3p_0 \)).
- \( b \) to \( f \) (diagonal line from \( 3p_0, 4V_0 \) to \( p_0, 4V_0 \)).
- Additional supportive points \( a \) to \( f \) form the boundaries of the chair-like graphic area.

#### Multiple Choice Options:
A. \( \frac{23}{2} p_0 V_0 \)

B. \( \frac{69}{2} p_0 V_0 \)

C. \( \frac{21}{2} p_0 V_0 \)

D. \( \frac{29}{2} p_0 V_0 \)

E. \( \frac{73}{3} p_0 V_0 \)
  
For similar educational problems, revisit the concept of thermodynamic processes and pV diagrams. Understand how heat, work, and the first law of thermodynamics relate in each of these transitions.
Transcribed Image Text:### Net Heat for a Gas Process on a pV Diagram #### Question: What is the net heat for the process \( i \rightarrow b \rightarrow f \) on the pV diagram illustrated below? The gas is diatomic. #### Diagram Explanation: The pV diagram consists of the following points: - Point \( i \) located at pressure \( 3p_0 \) and volume \( V_0 \). - Point \( b \) located at pressure \( 3p_0 \) and volume \( 4V_0 \). - Point \( a \) located at pressure \( p_0 \) and volume \( V_0 \). - Point \( f \) located at pressure \( p_0 \) and volume \( 4V_0 \). These points form the shape of a right-angle triangle and a rectangle on the pV graph. #### Graph Details: - The vertical axis represents pressure (\( p \)). - The horizontal axis represents volume (\( V \)). - The volumes \( V_0 \) and \( 4V_0 \) are marked on the horizontal axis. - The pressures \( p_0 \) and \( 3p_0 \) are marked on the vertical axis. Vertices are connected as follows: - \( i \) to \( b \) (horizontal line at pressure \( 3p_0 \)). - \( b \) to \( f \) (diagonal line from \( 3p_0, 4V_0 \) to \( p_0, 4V_0 \)). - Additional supportive points \( a \) to \( f \) form the boundaries of the chair-like graphic area. #### Multiple Choice Options: A. \( \frac{23}{2} p_0 V_0 \) B. \( \frac{69}{2} p_0 V_0 \) C. \( \frac{21}{2} p_0 V_0 \) D. \( \frac{29}{2} p_0 V_0 \) E. \( \frac{73}{3} p_0 V_0 \) For similar educational problems, revisit the concept of thermodynamic processes and pV diagrams. Understand how heat, work, and the first law of thermodynamics relate in each of these transitions.
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