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. The container in Fig. 4.19 is initially evacuated. Then the valve is opened, and atmospheric air flows in, compressing the spring. The entire inflow and compres- sion process is adiabatic. The temperature of the atmospheric air is 20°C. When the process is over, the volume of the contained air is 10 m³, its pressure is 1 atm, and the work done on the piston and spring system is 13 kJ. The air in the container is perfectly mixed. What is the temperature of the air in the container?

. The container in Fig. 4.19 is initially evacuated. Then the valve is opened, and atmospheric air flows in, compressing the spring. The entire inflow and compres- sion process is adiabatic. The temperature of the atmospheric air is 20°C. When the process is over, the volume of the contained air is 10 m³, its pressure is 1 atm, and the work done on the piston and spring system is 13 kJ. The air in the container is perfectly mixed. What is the temperature of the air in the container?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4.37. The container in Fig. 4.19 is initially evacuated. Then the valve is opened, and atmospheric air flows in, compressing the spring. The entire inflow and compres- sion process is adiabatic. The temperature of the atmospheric air is 20°C. When the process is over, the volume of the contained air is 10 m³, its pressure is 1 atm, and the work done on the piston and spring system is 13 kJ. The air in the container is perfectly mixed. What is the temperature of the air in the container?
Transcribed Image Text:4.37. The container in Fig. 4.19 is initially evacuated. Then the valve is opened, and atmospheric air flows in, compressing the spring. The entire inflow and compres- sion process is adiabatic. The temperature of the atmospheric air is 20°C. When the process is over, the volume of the contained air is 10 m³, its pressure is 1 atm, and the work done on the piston and spring system is 13 kJ. The air in the container is perfectly mixed. What is the temperature of the air in the container?
Valve Spring Piston ooooooo FIGURE 4.19
Transcribed Image Text:Valve Spring Piston ooooooo FIGURE 4.19
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hi, where did u get this R value from. these are the values i have 

The image provides various units and equivalent values of the universal gas constant \( R \). Here are the expressions shown: - \( R = 8.314 \, \text{J} \cdot \text{mol}^{-1} \cdot \text{K}^{-1} = 8.314 \, \text{m}^3 \cdot \text{Pa} \cdot \text{mol}^{-1} \cdot \text{K}^{-1} \) - \( = 83.14 \, \text{cm}^3 \cdot \text{bar} \cdot \text{mol}^{-1} \cdot \text{K}^{-1} = 8314 \, \text{cm}^3 \cdot \text{kPa} \cdot \text{mol}^{-1} \cdot \text{K}^{-1} \) - \( = 82.06 \, \text{cm}^3 \cdot (\text{atm}) \cdot \text{mol}^{-1} \cdot \text{K}^{-1} = 62,356 \, \text{cm}^3 \cdot (\text{torr}) \cdot \text{mol}^{-1} \cdot \text{K}^{-1} \) - \( = 1.987 \, (\text{cal}) \cdot \text{mol}^{-1} \cdot \text{K}^{-1} = 1.986 \, (\text{Btu}) (\text{lb mole})^{-1} (\text{R})^{-1} \) - \( = 0.7302 \, (\text{ft})^3 (\text{atm}) (\text{lb mol})^{-1} (\text{R})^{-1} = 10.73 \, (\text{ft})^3 (\text{psia}) (\text{lb mol})^{-1} (\text{R})^{-1} \) - \( = 1545 \, (\text{ft}) (\text{lb}_f) (\text{lb mol})^{-1} (\text{R})^{-1} \) These are different units in which the gas constant can be expressed, used depending on the system of units (SI, imperial,
Transcribed Image Text:The image provides various units and equivalent values of the universal gas constant \( R \). Here are the expressions shown: - \( R = 8.314 \, \text{J} \cdot \text{mol}^{-1} \cdot \text{K}^{-1} = 8.314 \, \text{m}^3 \cdot \text{Pa} \cdot \text{mol}^{-1} \cdot \text{K}^{-1} \) - \( = 83.14 \, \text{cm}^3 \cdot \text{bar} \cdot \text{mol}^{-1} \cdot \text{K}^{-1} = 8314 \, \text{cm}^3 \cdot \text{kPa} \cdot \text{mol}^{-1} \cdot \text{K}^{-1} \) - \( = 82.06 \, \text{cm}^3 \cdot (\text{atm}) \cdot \text{mol}^{-1} \cdot \text{K}^{-1} = 62,356 \, \text{cm}^3 \cdot (\text{torr}) \cdot \text{mol}^{-1} \cdot \text{K}^{-1} \) - \( = 1.987 \, (\text{cal}) \cdot \text{mol}^{-1} \cdot \text{K}^{-1} = 1.986 \, (\text{Btu}) (\text{lb mole})^{-1} (\text{R})^{-1} \) - \( = 0.7302 \, (\text{ft})^3 (\text{atm}) (\text{lb mol})^{-1} (\text{R})^{-1} = 10.73 \, (\text{ft})^3 (\text{psia}) (\text{lb mol})^{-1} (\text{R})^{-1} \) - \( = 1545 \, (\text{ft}) (\text{lb}_f) (\text{lb mol})^{-1} (\text{R})^{-1} \) These are different units in which the gas constant can be expressed, used depending on the system of units (SI, imperial,
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