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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 other 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 correct the expression of the work done by the gas... Ideal gas T1 FISE P1 V1 OA.W₁ = P₁V₁ b O D.O State 1 OB. W₁ = 2P₁V₁ 1 Evacuated O C. CW₁ = 2 (₁+x)(x₂ - 1) W. (P. V b Ideal gas T2=? P2=? V2=2V1 State 2

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 other 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 correct the expression of the work done by the gas... Ideal gas T1 FISE P1 V1 OA.W₁ = P₁V₁ b O D.O State 1 OB. W₁ = 2P₁V₁ 1 Evacuated O C. CW₁ = 2 (₁+x)(x₂ - 1) W. (P. V b Ideal gas T2=? P2=? V2=2V1 State 2

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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  1. 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 other 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 correct the expression of the work done by the gas.__________


     

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      D.

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**Educational Scenario: Gas Expansion in an Insulated Rigid Tank** **Description:** In the depicted scenario, an insulated rigid tank is initially divided into two equal sections by a partition. One section contains an ideal gas with specified initial conditions, and the other section is evacuated. When the partition is removed, the gas expands to occupy the entire volume of the tank. **Initial Conditions (State 1):** - Ideal Gas - Temperature: \( T_1 \) - Pressure: \( P_1 \) - Volume: \( V_1 \) - Mass: \( m \) The other section is evacuated and contains no gas. **Final Conditions After Expansion (State 2):** - Ideal Gas - Temperature: \( T_2 = ? \) - Pressure: \( P_2 = ? \) - Volume: \( V_2 = 2V_1 \) **Task:** Identify the correct expression for the work done by the gas. **Options:** - **A.** \( W_b = P_1 V_1 \) - **B.** \( W_b = 2P_1 V_1 \) - **C.** \( W_b = \frac{1}{2} (P_1 + P_2) (V_2 - V_1) \) - **D.** \( 0 \) The correct answer needs to be selected based on the understanding of thermodynamics principles related to an insulated system.
Transcribed Image Text:**Educational Scenario: Gas Expansion in an Insulated Rigid Tank** **Description:** In the depicted scenario, an insulated rigid tank is initially divided into two equal sections by a partition. One section contains an ideal gas with specified initial conditions, and the other section is evacuated. When the partition is removed, the gas expands to occupy the entire volume of the tank. **Initial Conditions (State 1):** - Ideal Gas - Temperature: \( T_1 \) - Pressure: \( P_1 \) - Volume: \( V_1 \) - Mass: \( m \) The other section is evacuated and contains no gas. **Final Conditions After Expansion (State 2):** - Ideal Gas - Temperature: \( T_2 = ? \) - Pressure: \( P_2 = ? \) - Volume: \( V_2 = 2V_1 \) **Task:** Identify the correct expression for the work done by the gas. **Options:** - **A.** \( W_b = P_1 V_1 \) - **B.** \( W_b = 2P_1 V_1 \) - **C.** \( W_b = \frac{1}{2} (P_1 + P_2) (V_2 - V_1) \) - **D.** \( 0 \) The correct answer needs to be selected based on the understanding of thermodynamics principles related to an insulated system.
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