1. Find the work done in the quasi-static processes shown below. The states are given as (p, V) values for the points in the pV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5 (4 atm, 2 L). Use the conversions 1 atm ≈1 05 Pa, and 1 L-10-3 m³. (a) W₁2= = (b) W13= = (C) W₁4 = = (d) W153 = = РА PL (a) (c) 2 P РА (b) (d) 3 V
1. Find the work done in the quasi-static processes shown below. The states are given as (p, V) values for the points in the pV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5 (4 atm, 2 L). Use the conversions 1 atm ≈1 05 Pa, and 1 L-10-3 m³. (a) W₁2= = (b) W13= = (C) W₁4 = = (d) W153 = = РА PL (a) (c) 2 P РА (b) (d) 3 V
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![**Problem 1: Quasi-static Work Calculation**
**Description:**
This problem involves calculating the work done in various quasi-static processes presented in a Pressure (P) vs Volume (V) graph. The states provided are point pairs with specific pressure and volume values on a P-V plane. To complete the calculations, the following conversions should be used: 1 atm ≈ 1 x 10^5 Pa, and 1 L = 10^-3 m³.
**States:**
1. (3 atm, 4 L)
2. (3 atm, 6 L)
3. (5 atm, 4 L)
4. (2 atm, 6 L)
5. (4 atm, 2 L)
**Graphs:**
- **Graph (a)**: Illustrates a horizontal process from state 1 (3 atm, 4 L) to state 2 (3 atm, 6 L).
- **Graph (b)**: Illustrates a vertical process from state 1 (3 atm, 4 L) to state 3 (5 atm, 4 L).
- **Graph (c)**: Illustrates an inclined process from state 1 (3 atm, 4 L) to state 4 (2 atm, 6 L).
- **Graph (d)**: Illustrates a combined process from state 1 (3 atm, 4 L) to state 5 (4 atm, 2 L), passing through state 3 (5 atm, 4 L).
**Required Work Calculations:**
(a) \( W_{12} \) = [Calculate the work done from state 1 to state 2 in Joules]
(b) \( W_{13} \) = [Calculate the work done from state 1 to state 3 in Joules]
(c) \( W_{14} \) = [Calculate the work done from state 1 to state 4 in Joules]
(d) \( W_{153} \) = [Calculate the work done from state 1 to state 3 via state 5 in Joules]
**Tasks:**
1. **Calculate the Work Done in the Given Processes:**
- Use the formula \( W = P \Delta V \) for horizontal processes.
- For non-horizontal processes, integrate \( W = \int_{V_i}^{V_f} P \, dV \) assuming specific P-V relationships if needed](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bc1e865-88f5-4594-837c-35f6919f2fc7%2F6635211e-a9c8-429d-bff1-02853e14b22e%2Facpq15r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 1: Quasi-static Work Calculation**
**Description:**
This problem involves calculating the work done in various quasi-static processes presented in a Pressure (P) vs Volume (V) graph. The states provided are point pairs with specific pressure and volume values on a P-V plane. To complete the calculations, the following conversions should be used: 1 atm ≈ 1 x 10^5 Pa, and 1 L = 10^-3 m³.
**States:**
1. (3 atm, 4 L)
2. (3 atm, 6 L)
3. (5 atm, 4 L)
4. (2 atm, 6 L)
5. (4 atm, 2 L)
**Graphs:**
- **Graph (a)**: Illustrates a horizontal process from state 1 (3 atm, 4 L) to state 2 (3 atm, 6 L).
- **Graph (b)**: Illustrates a vertical process from state 1 (3 atm, 4 L) to state 3 (5 atm, 4 L).
- **Graph (c)**: Illustrates an inclined process from state 1 (3 atm, 4 L) to state 4 (2 atm, 6 L).
- **Graph (d)**: Illustrates a combined process from state 1 (3 atm, 4 L) to state 5 (4 atm, 2 L), passing through state 3 (5 atm, 4 L).
**Required Work Calculations:**
(a) \( W_{12} \) = [Calculate the work done from state 1 to state 2 in Joules]
(b) \( W_{13} \) = [Calculate the work done from state 1 to state 3 in Joules]
(c) \( W_{14} \) = [Calculate the work done from state 1 to state 4 in Joules]
(d) \( W_{153} \) = [Calculate the work done from state 1 to state 3 via state 5 in Joules]
**Tasks:**
1. **Calculate the Work Done in the Given Processes:**
- Use the formula \( W = P \Delta V \) for horizontal processes.
- For non-horizontal processes, integrate \( W = \int_{V_i}^{V_f} P \, dV \) assuming specific P-V relationships if needed
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