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2.00 mol of helium and 1.00 mol of argon are separated by a very thin barrier. Initially the helium has 7500 J of thermal energy. The helium gains 2500 J of energy as the gases interact and come to thermal equilibrium by exchanging energy via collisions at the boundary. What was the initial temperature of the argon? What is the thermal energy of the argon at the equilibrium temperature? Express your answer with the appropriate units. ► View Available Hint(s) (Eth f) Ar= 5000 J Submit Previous Answers ✓ Correct Part C What was the initial temperature of the argon? Express your answer in kelvins.

2.00 mol of helium and 1.00 mol of argon are separated by a very thin barrier. Initially the helium has 7500 J of thermal energy. The helium gains 2500 J of energy as the gases interact and come to thermal equilibrium by exchanging energy via collisions at the boundary. What was the initial temperature of the argon? What is the thermal energy of the argon at the equilibrium temperature? Express your answer with the appropriate units. ► View Available Hint(s) (Eth f) Ar= 5000 J Submit Previous Answers ✓ Correct Part C What was the initial temperature of the argon? Express your answer in kelvins.

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### Problem Scenario **Given:** - 2.00 mol of helium and 1.00 mol of argon are separated by a very thin barrier. - Initially, the helium has 7500 J of thermal energy. - The helium gains 2500 J of energy as the gases interact and come to thermal equilibrium by exchanging energy via collisions at the boundary. **Question:** - What was the initial temperature of the argon? ### Solution #### Part B: Calculating Thermal Energy of Argon at Equilibrium Temperature 1. **Thermal Energy of Argon at Equilibrium:** Given that the final thermal energy of argon at equilibrium is provided: \[ (E_{\text{th f}})_{Ar} = 5000 \, \text{J} \] This solution step has been marked as correct, as indicated by the checkmark. #### Part C: Determining Initial Temperature 1. **Objective:** - Determine the initial temperature of the argon. 2. **Answer Format Required:** - Express your answer in kelvins. ### Graphs and Diagrams No graphs or diagrams are present in the provided content. **Note:** This process is part of an energy exchange problem in thermodynamics, illustrating how energy is conserved and distributed between substances until thermal equilibrium is reached. This educational example highlights fundamental concepts of thermal energy, energy exchange through collisions, and the calculations necessary to understand initial and final states in a closed system.
Transcribed Image Text:### Problem Scenario **Given:** - 2.00 mol of helium and 1.00 mol of argon are separated by a very thin barrier. - Initially, the helium has 7500 J of thermal energy. - The helium gains 2500 J of energy as the gases interact and come to thermal equilibrium by exchanging energy via collisions at the boundary. **Question:** - What was the initial temperature of the argon? ### Solution #### Part B: Calculating Thermal Energy of Argon at Equilibrium Temperature 1. **Thermal Energy of Argon at Equilibrium:** Given that the final thermal energy of argon at equilibrium is provided: \[ (E_{\text{th f}})_{Ar} = 5000 \, \text{J} \] This solution step has been marked as correct, as indicated by the checkmark. #### Part C: Determining Initial Temperature 1. **Objective:** - Determine the initial temperature of the argon. 2. **Answer Format Required:** - Express your answer in kelvins. ### Graphs and Diagrams No graphs or diagrams are present in the provided content. **Note:** This process is part of an energy exchange problem in thermodynamics, illustrating how energy is conserved and distributed between substances until thermal equilibrium is reached. This educational example highlights fundamental concepts of thermal energy, energy exchange through collisions, and the calculations necessary to understand initial and final states in a closed system.
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