### Understanding Kinetic and Thermal Energy in Hydrogen GasThis educational page explores the kinetic and thermal energy of hydrogen gas molecules, with a focus on their root mean square (rms) speed and associated calculations.#### Given Data- The rms speed of the molecules in 1.2 grams of hydrogen gas is 1800 m/s.#### Part A: Translational Kinetic Energy**Question:** What is the total translational kinetic energy of the gas molecules?**Solution:**The total translational kinetic energy is provided as:\[ \epsilon_{\text{total}} = 1.9 \, \text{kJ} \]A system confirmation displays the answer as "Correct."#### Part B: Thermal Energy**Question:** What is the thermal energy of the gas?**Solution:**The thermal energy is provided as:\[ E_{\text{th}} = 1944 \, \text{J} \]A submission interface is shown where students can input their answers, and the system provides feedback.### Detailed Explanation1. **Root Mean Square (rms) Speed:** - This is the measure of the speed of particles in a gas that is most directly related to the kinetic energy of the gas. For hydrogen gas with a mass of 1.2 grams, the rms speed is specified as 1800 m/s.2. **Translational Kinetic Energy:** - Translational kinetic energy refers to the energy associated with the movement of particles in the gas. The total translational kinetic energy is calculated based on the rms speed and mass of the gas but is directly provided as 1.9 kJ in this example.3. **Thermal Energy:** - Thermal energy is the total internal energy of the gas due to translational kinetic energy. In this exercise, the thermal energy for the hydrogen gas is provided as 1944 J.Users are encouraged to practice these calculations and use the provided interface to submit their answers and get immediate feedback on their understanding. This helps in reinforcing the concepts of kinetic and thermal energy in gases.

The rms speed of the molecules in 1.2 g of hydrogen gas is 1800 m/s What is the total translational kinetic energy of the gas molecules? Express your answer with the appropriate units. Etotal= 1.9 kJ Submit ✓ Correct Part B Previous Answers What is the thermal energy of the gas? Express your answer with the appropriate units. Submit Di Eth=1944 HÅ J Previous Answers Request Answer ?

The rms speed of the molecules in 1.2 g of hydrogen gas is 1800 m/s What is the total translational kinetic energy of the gas molecules? Express your answer with the appropriate units. Etotal= 1.9 kJ Submit ✓ Correct Part B Previous Answers What is the thermal energy of the gas? Express your answer with the appropriate units. Submit Di Eth=1944 HÅ J Previous Answers Request Answer ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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