Patm=101kPa; g=9.81m/s² A substance is contained in a piston cylinder assembly with properties as described by the attached saturation and superheated vapor tables. The piston has a mass of 50kg and face area of 49.5 square-centimeters. The assembly contains 5kg of a mystery substance and is stored outside. Overnight the temperature drops to 10°C, but the temperature rises during the afternoon. Mechanical stops prevent the piston from leaving the cylinder. Take the substance to be the system. Taking special care with units, what is the pressure of the system in bar for the configuration shown in the figure? mpiston=50kg; Apiston=49.5cm? What system phase(s) is(are) present if the temperature is 10°C? Mystery substance; During the day, the temperature rises to 20°C and there is still space to expand before the piston reaches the stops. What is the new system volume in m³? initial temperature is 10°C How much work is done by the system on the surroundings to expand from 10°C to 20°C? Enter a numerical value in k). What system phase(s) is(are) present if the temperature is 20°C?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Please show work and answer the last 4 questions. 

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## Thermodynamic Analysis of a Piston Cylinder Assembly

### Problem Setup

A substance is contained in a piston-cylinder assembly with properties as described by the attached saturation and superheated vapor tables. The piston has a mass of 50 kg and a face area of 49.5 square centimeters. The assembly contains 5 kg of a mystery substance and is stored outside. Overnight, the temperature drops to 10°C, but the temperature rises during the afternoon. Mechanical stops prevent the piston from leaving the cylinder. Take the substance to be the system.

### Questions to Consider

1. **Pressure Calculation:**

    *What is the pressure of the system in bar for the configuration shown in the figure?*

    \(P_{\text{atm}} = 101 \text{kPa}; \quad g = 9.81 \text{m/s}^2\)
    
    \( m_{\text{piston}} = 50 \text{kg}; \quad A_{\text{piston}} = 49.5 \text{cm}^2 \)

2. **Phase Determination at 10°C:**

    *What system phase(s) is(are) present if the temperature is 10°C?*

3. **Volume Expansion Calculation:**

    During the day, the temperature rises to 20°C and there is still space to expand before the piston reaches the stops. 
    
    *What is the new system volume in m³?*

4. **Work Done by System During Expansion:**

    *How much work is done by the system on the surroundings to expand from 10°C to 20°C?* (Enter a numerical value in kJ.)

5. **Phase Determination at 20°C:**

    *What system phase(s) is(are) present if the temperature is 20°C?*

6. **Heat Transfer Calculation During Expansion:**

    *What amount of heat transfer occurred between the system and surroundings?* (Enter a numerical value in kJ.)

### Scenario: Fire Induced Temperature Rise

A fire breaks out near the assembly, and the temperature of the substance rises. The piston hits the stops when the volume reaches 1.5m³. The temperature continues to rise. By the time the tank is moved to a safe location, the pressure reaches 3 bar and the temperature is 212°C; the internal energy is 619 kJ/kg at this state.

- **Work
Transcribed Image Text:--- ## Thermodynamic Analysis of a Piston Cylinder Assembly ### Problem Setup A substance is contained in a piston-cylinder assembly with properties as described by the attached saturation and superheated vapor tables. The piston has a mass of 50 kg and a face area of 49.5 square centimeters. The assembly contains 5 kg of a mystery substance and is stored outside. Overnight, the temperature drops to 10°C, but the temperature rises during the afternoon. Mechanical stops prevent the piston from leaving the cylinder. Take the substance to be the system. ### Questions to Consider 1. **Pressure Calculation:** *What is the pressure of the system in bar for the configuration shown in the figure?* \(P_{\text{atm}} = 101 \text{kPa}; \quad g = 9.81 \text{m/s}^2\) \( m_{\text{piston}} = 50 \text{kg}; \quad A_{\text{piston}} = 49.5 \text{cm}^2 \) 2. **Phase Determination at 10°C:** *What system phase(s) is(are) present if the temperature is 10°C?* 3. **Volume Expansion Calculation:** During the day, the temperature rises to 20°C and there is still space to expand before the piston reaches the stops. *What is the new system volume in m³?* 4. **Work Done by System During Expansion:** *How much work is done by the system on the surroundings to expand from 10°C to 20°C?* (Enter a numerical value in kJ.) 5. **Phase Determination at 20°C:** *What system phase(s) is(are) present if the temperature is 20°C?* 6. **Heat Transfer Calculation During Expansion:** *What amount of heat transfer occurred between the system and surroundings?* (Enter a numerical value in kJ.) ### Scenario: Fire Induced Temperature Rise A fire breaks out near the assembly, and the temperature of the substance rises. The piston hits the stops when the volume reaches 1.5m³. The temperature continues to rise. By the time the tank is moved to a safe location, the pressure reaches 3 bar and the temperature is 212°C; the internal energy is 619 kJ/kg at this state. - **Work
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