### 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)...

See similar textbooks

Related questions

Q: a. Compute the specific heat capacity at constant volume of nitrogen (N2) gas. The molar mass of N2…

A: The objective of the first part of the question is to calculate the specific heat capacity at…

Q: The thermal energy of 0.900 mol of a substance is increased by 0.900 J.

Q: Review I C- Part A A container holds 9 g of neon at a pressure of 5.0 atm and a temperature of 15…

A: Here initial volume ,Vin = nRT/P where n is no of moles of neon = 9/20= 0.45moles . and R is gas…

Q: Constants Puffy cumulus clouds, which are made of water droplets, occur at lower altitudes in the…

A: The altitude is 4.91 km

Q: 1. What is the final thermal energy of the gas A? Express your answer to two significant figures and…

Q: Using the free energy of a monatomic ideal gas, derive the ideal gas law.

Q: Assuming the gas molecules can be approximated as small spheres of diameter 2.5x100 m, determine the…

Q: The rms speed of a sample of gas is increased by 5%. A. What is the percent change in the…

A: Temperature is directly proportional to the rms speed, then T∝v2

Q: nder of nitrogen gas has a volume pressure of 80 atm.

Q: Let’s assume dry air behaves like an ideal gas and has a molar mass of 28.8 g/mol. a) What is the…

Q: Problem 3: Assume 0.500 moles of an ideal monoatomic gas in a container of fixed volume of 1.00×10-³…

Q: Problem 5: In this problem we will consider some of the properties of liquid and vapor water at…

A: A table is given here. Using data from that table it is required to solve the problems. The entire…

Q: Oxygen (O2) has a molar mass of 32.0 g/mol . Part A What is the root-mean-square speed of an oxygen…

Q: igure N 4- 3 2- 1 0 ilı. 4 6 8 2 v (m/s) What is the most probable speed? Express your answer with…

Q: At what pressure will the mean free path in room-temperature (20°C) nitrogen be 0.70 m? Express your…

Q: piston mA ideal gas A movable piston (mass = m and cross-sectional area = A) holds 0.5 mol of an…

Q: Super Invar, an alloy of iron and nickel, is a strong material with a very low coefficient of…

Q: At what pressure will the Express your answer w ▸ View Available Hint(s P= 0.011 HA

A: The mean free path of nitrogen = 1.1 mDiameter of the nitrogen = 3 AngstomNow from the definition of…

Q: 3 The number density in a container of neon gas is 5.40 x 10 speed of 670 m/s. m The atoms are…

Q: The cat is fat. The cat’s fur and the cat’s fat provide the same amount of insulation. How much…

A: Given tha The thickness of the fur is ∆x1=1cm We know that The thermal resistance is given by Rθ…

Q: What is the container's volume? Express your answer with the appropriate units. ▸ View Available…

A: Given, container holds 3.20 mol of gastherefore ideal gas equation. ..........1where P = pressure…

Q: A 13-cm-diameter cylinder contains argon gas at 10 atm pressure and a temperature of 60°C. A piston…

A: Diameter, D=13 cm=0.13 m.Length, L=21 cm=0.21 m.The initial temperature is, Pressure, .Heat, Q=2600…

Q: The mean free path of a molecule in a gas is 310 nm ▼ What is the mean free path if the gas…

A: Solution Given data Mean free path of molecule in gas λ=310nm=310×10−9mWhat is mean free path if…

Q: long the y-axis. Is the graph linear? If so, use a linear fit and write down thebequation of the…

A: Solution: a). The temperature versus pressure has been plotted using excel as shown below.

Q: IP A gas has a temperature of 310 K and a pressure of 102 kPa Part A Find the volume occupied by…

Q: a. Find the average translational kinetic energy of nitrogen molecules at room temperature, in eV.

A: Introduction: The translational kinetic energy of a gas depends upon the temperature of the gas. The…

Q: Part A Consider a monatomic gas of particles each with mass m. What is Vrms Express your answer in…

A: The objective of the question is to find the root mean square speed (Vrms) of a monatomic gas of…

Q: Calculate Express yo Urms

A: please see image

Concept explainers

Kinetic Theory of Gas

The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.

P-V Diagram

A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.

Question

### Understanding Kinetic and Thermal Energy in Hydrogen Gas

This 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 Explanation
1. **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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data :

VIEW

Step 2: Calculation part (a)

VIEW

Step 3: Calculation part (b)

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

6 of 13 I Review I Constants For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Volume of a gas at STP. Part A If a certain amount of ideal gas occupies a volume V at STP on earth, what would be its volume (in terms of V) on Venus, where the temperature is 911.0°C and the pressure is 91.8 atm? Express your answer as a multiple of volume V at STP. DA ΑΣφ ? Vvenus Submit Request Answer
⦁ What is the specific heat at constant pressure for N2 gas? Assume that N2 is an ideal gas.⦁ 3R/2⦁ 5R/2⦁ 4R⦁ 3R⦁ 7R/2
Constants I Periodic A sealed container containing 4.5 mol of gas is squeezed, changing its volume from 2.4x10-2 m3 to 1.9x10-2 m³. During this process, the temperature decreases by 6.0 K while the pressure increases by 500 Pa. Part A What was the original pressure of the gas in the container? Express your answer using two significant figures. Bν ΑΣφ ? P = Ра %3D Submit Request Answer Part B What was the original temperature of the gas in the container? 1ν ΑΣφ ? T1 = °C Submit Request Answer
N2 gas in a container is contracted by one third of the original volume to a total of 12 dm3 isothermally. The pressure is now 2 bar, what was the original pressure before the contraction?
The specific heat of liquid water is 4190 J/kg. K. ▼ Part A What is the molar specific heat of liquid water in J/mol. K? Give your answer as a multiple of R, rounded to the nearest half integer. Express your answer as a multiple of R to the nearest half integer. Cmol = 9 R Submit Correct Part B Previous Answers Equal moles of liquid water and helium gas are heated at constant pressure from the same initial temperature to the same final temperature. By what factor is the entropy increase of the water larger than the entropy increase of the helium? Express your answer to two significant figures. AS water ASHe Submit 17| ΑΣΦ Request Answer ?
a. Compute the specific heat capacity at constant volume of nitrogen (N2) gas. The molar mass of N2 is 28.0 g/mol. b. You warm 1.15 kg of water at a constant 1L volume from 20∘C to 30∘C in a kettle. For the same amount of heat, how many kilograms of 20∘C air would you be able to warm to 30∘C? Make the simplifying assumption that air is 100% N2. What volume would this air occupy at 20∘C and a pressure of 1 atm ?
A-C