A cylinder contains a mixture of helium and argon gas in equilibrium at a temperature of 184° C. The value of Boltzmann's constant is 1.38066 × 10-23 J/K, and Avogadro's num- ber is 6.02 x 1023 mol-¹. What is the average kinetic energy of each type of molecule? Answer in units of J. What is the rms speed of helium? Answer in units of km/s. What is the rms speed of argon?

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A cylinder contains a mixture of helium and argon gas in equilibrium at a temperature of 184°C.

The value of Boltzmann’s constant is \(1.38066 \times 10^{-23} \, \text{J/K}\), and Avogadro’s number is \(6.02 \times 10^{23} \, \text{mol}^{-1}\).

1. What is the average kinetic energy of each type of molecule?
   - Answer in units of Joules (J).

2. What is the root mean square (rms) speed of helium?
   - Answer in units of kilometers per second (km/s).

3. What is the root mean square (rms) speed of argon?
   - Answer in units of kilometers per second (km/s).

Note: Sections of the text are obscured in the image, preventing a full transcription of those parts.
Transcribed Image Text:A cylinder contains a mixture of helium and argon gas in equilibrium at a temperature of 184°C. The value of Boltzmann’s constant is \(1.38066 \times 10^{-23} \, \text{J/K}\), and Avogadro’s number is \(6.02 \times 10^{23} \, \text{mol}^{-1}\). 1. What is the average kinetic energy of each type of molecule? - Answer in units of Joules (J). 2. What is the root mean square (rms) speed of helium? - Answer in units of kilometers per second (km/s). 3. What is the root mean square (rms) speed of argon? - Answer in units of kilometers per second (km/s). Note: Sections of the text are obscured in the image, preventing a full transcription of those parts.
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