Shown in the figure, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains an indeal gas, and the other part is evacuated. The partition is then removed, and the gas expands into the entire tank. At the initial state, the mass of the gas is m= 4.00kg, initial pressure is p1 = 600.00 kPa, initial temperature is T1 = 300.00 K. The gas constant is R = 0.7180 kJ/(kg·K). (The internal energy can be determined by the equation ΔU=m·cv·(T2-T1), where cv =  0.7180 kJ/(kg·K) is the specific heat at the constant volume.) Calculate the internal energy change ΔU.__________ (kJ)

43.0 g of 40Ar gas are sealed in a container at an initial pressure of 1.50 atm and an initial volume of 0.0500 m3 (state 1). The gas is then made to expand very, very quickly until its volume doubles (state 2). Then it is compressed very, very slowly back to its initial volume (state 3). Show the two processes on a pV diagram, and fill out the table below.  p1 = p2 = p3 = V1 = V2 = V3 = T1 = T2 = T3 =

Shown in the figure, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains an indeal gas, and the other part is evacuated. The partition is then removed, and the gas expands into the entire tank. At the initial state, the mass of the gas is m= 4.00kg, initial pressure is p1 = 600.00 kPa, initial temperature is T1 = 300.00 K. The gas constant is R = 0.2870 kJ/(kg·K). (The internal energy can be determined by the equation ΔU=m·cv·(T2-T1), where cv =  0.7180 kJ/(kg·K) is the specific heat at the constant volume.)  Calculate the final state temperature pressure p2.__________ (kPa)

A piston-cylinder device contains an ideal gas of nitrogen. At the initial state, the volume is V1= 1.00 m3, the pressure is p1= 400.00 kPa, the temperature is T1= 300.00 K. An electric heater within the device is turned on for a time of Δt = 5.00 min. The current is I = 3.00 A, and the source voltage is V = 120.00 V. During the heating process, the gas expands, and a heat loss of Qout = 2.80 kJ occurs.  The gas constant is R = 0.297 kPa·m3/(kg·K), and the room temperature specific heat at constant pressure is cp =1.039 kJ/(kg·K).  Calculate the mass of the gas, m__________ (kg)

Krypton in a closed system is compressed adiabatically from 74 K and 1 bar to a final pressure of 24 bar. What is the final temperature in K? Assume krypton is an ideal gas. From Appendix B in the text, we can assume the heat capacity of krypton is independent of temperature and CP=2.5R , where R is the molar gas constant R=8.314 J/(mol K). For an ideal gas, recall CV=CP−R=1.5R. Report your answer in units of K using three decimal places.

Q1

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Six grams of helium(4.0026 g/mol) undergoes an Isothermal process at 127 Celsius, beginning at 6 atm. Their container was found to be 0.04 meters under cube after the expansion. Assuming that helium unit is an ideal gas, calculate the amount of keep that flowed into or out of the helium during the process.

Shown in the figure, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains an indeal gas, and the other part is evacuated. The partition is then removed, and the gas expands into the entire tank. At the initial state, the mass of the gas is m= 4.00kg, initial pressure is p1 = 600.00 kPa, initial temperature is T1 = 300.00 K. The gas constant is R = 0.2870 kJ/(kg·K). (The internal energy can be determined by the equation ΔU=m·cv·(T2-T1), where cv =  0.7180 kJ/(kg·K) is the specific heat at the constant volume.)  Calculate the final state temperature T2.__________ (K)

Solve this question very carefully write clearly and circle the final answer for the” final temperature” in Celsius And The volume of the tank for a final pressure of 10kpa in units of m^3