Shown in the figure, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains an ideal gas, and the other part is evacuated. The partition is then removed, and the gas expands into the entire tank. At the initial state, mass is m, the initial pressure is p1, initial temperature is T1, and the initial volume is V1.Select the simplified energy balance equation if the the whole tank is selected as the system.____ A. B. C. D. **System Description:**In the illustration, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part of the tank contains an ideal gas, and the other part is evacuated. Once the partition is removed, the gas expands to occupy the entire tank, transitioning from State 1 to State 2.**State 1:**- Contains ideal gas - Temperature: \( T_1 \) - Pressure: \( P_1 \) - Volume: \( V_1 \) - Mass: \( m \)- Other part: Evacuated**State 2:**- Contains ideal gas - Temperature: \( T_2 = ? \) - Pressure: \( P_2 = ? \) - Volume: \( V_2 = 2V_1 \) **Energy Balance Equation Selection:**The simplified energy balance equation for the entire tank system must be selected from the options:A. \(-W_b = \Delta U\)B. \(Q = \Delta U - W_b\)C. \(Q + W_b = \Delta U\)D. \(W_b = \Delta U\)Where:- \( W_b \) is the boundary work- \( \Delta U \) is the change in internal energy- \( Q \) is the heat transferThe correct choice will depend on understanding the principles of thermodynamics, particularly concerning systems undergoing expansion with no heat exchange (adiabatic process) due to the insulation.

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Shown in the figure, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains an ideal gas, and the other part is evacuated. The partition is then removed, and the gas expands into the entire tank. At the initial state, mass is m, the initial pressure is p1, initial temperature is T1, and the initial volume is V1.

Select the simplified energy balance equation if the the whole tank is selected as the system.____

A.

B.

C.

D.

**System Description:**

In the illustration, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part of the tank contains an ideal gas, and the other part is evacuated. Once the partition is removed, the gas expands to occupy the entire tank, transitioning from State 1 to State 2.

**State 1:**

- Contains ideal gas
- Temperature: \( T_1 \)
- Pressure: \( P_1 \)
- Volume: \( V_1 \)
- Mass: \( m \)
- Other part: Evacuated

**State 2:**

- Contains ideal gas
- Temperature: \( T_2 = ? \)
- Pressure: \( P_2 = ? \)
- Volume: \( V_2 = 2V_1 \)

**Energy Balance Equation Selection:**

The simplified energy balance equation for the entire tank system must be selected from the options:

A. \(-W_b = \Delta U\)

B. \(Q = \Delta U - W_b\)

C. \(Q + W_b = \Delta U\)

D. \(W_b = \Delta U\)

Where:
- \( W_b \) is the boundary work
- \( \Delta U \) is the change in internal energy
- \( Q \) is the heat transfer

The correct choice will depend on understanding the principles of thermodynamics, particularly concerning systems undergoing expansion with no heat exchange (adiabatic process) due to the insulation.

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