### Kinetic Energy Calculations for Hydrogen and Helium Atoms1. **(a) Average Kinetic Energy of a Hydrogen Atom on the Sun's Surface** **Problem Statement:** - Calculate the average kinetic energy (KE) in joules of a hydrogen atom on the Sun's surface, where the temperature is 5500 °C. - Boltzmann's constant (k) is provided as \( k = 1.38 \times 10^{-23} \text{ J/K} \). **Formula:** \[ KE_{\text{av}} = \frac{3}{2} kT \] **Blank to be filled:** \[ KE_{\text{av}} = \_\_\_\_\_\_\_\_\_\_ \text{ J} \]2. **(b) Average Kinetic Energy of a Helium Atom in the Solar Corona** **Problem Statement:** - Calculate the average kinetic energy (KE) in joules of a helium atom in a region of the solar corona, where the temperature is \(6 \times 10^5 \text{ K}\). **Formula:** \[ KE_{\text{av}} = \frac{3}{2} kT \] **Blank to be filled:** \[ KE_{\text{av}} = \_\_\_\_\_\_\_\_\_\_ \text{ J} \]**Explanation of Diagrams:**There are no diagrams or graphs provided in this section. **Note to Educators:**Ensure students understand how to apply the Boltzmann constant and convert temperature to Kelvin if necessary. Clarify the relationship between temperature and kinetic energy according to the formula provided.

Answered: Image /qna-images/answer/a4e3108b-d4e0-4ef6-bda1-a8d6cab83c00.jpg

1. (a) What is the average kinetic energy in joules of a hydrogen atom on the 5500 °C surface of the Sun? The Boltzmann's constant is k=1.38x10-23 J/K KE av (b) What is the average kinetic energy of a helium atom in a region of the solar corona where the temperature is 6 x 105⁰K? KE av J J

1. (a) What is the average kinetic energy in joules of a hydrogen atom on the 5500 °C surface of the Sun? The Boltzmann's constant is k=1.38x10-23 J/K KE av (b) What is the average kinetic energy of a helium atom in a region of the solar corona where the temperature is 6 x 105⁰K? KE av J J

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: 2.) The escape velocity of any object from Earth is 11.1 km/s. At what temperature would oxygen…

A: THE VALVES PROVIDED IN THE QUESTION ARE AS FOLLOWS- υrms = 11.1 kms=11.1 ×103ms MO2=…

Q: 2. A student followed strictly correct procedure in the lab during the experiment of determination…

A: ∆P1 = 100.5 mV ∆P2 = 23.8 mV The pressure in the lab is P0 = 101.30 kPa. Find: The pressure P₁: =? ,…

Q: The average body temperature of a healthy person is 37.0°C. Boltzmann's constant is 1.38 × 10−23…

A: The average kinetic energy of the gas molecules at given temperature is given by the following…

Q: An expensive vacuum system can achieve a pressure as low as 1 x10 N/m² at 20 °C. How many atoms are…

A: Step 1:Step 2:

Q: At what temperature would the rms speed of deuterium atoms equal the following speeds? (Note: The…

A: Mass of deuterium (M)= 3.32× 10-²⁷ kg We know that rms velocity(Vrms) is given by Vrms= √(3RT/M)…

Q: (a) What is the average kinetic energy in joules of a hydrogen atom on the 5500 °C surface of the…

Q: The surface of the Sun is at a temperature of 6000 K. At what rate is energy radiated from the Sun…

A: Concept: To Determine the Energy radiated by the sun striking the Earth will be determined using…

Q: 43. The escape velocity from the Moon is much smaller than from Earth and is only 2.38 km/s. At what…

A: Solution:-Given thatEscape velocity from moon (Vesc)=2.38 km/s=2380 m/sMolecular mass of Hydrogen…

Q: Calculate the mass of nitrogen present in a volume of 3000 cm' if the gas is at 22.0 °C and the…

Q: An expensive vacuum system can achieve a pressure as low as 1 x 10 N/m² at 20 °C. How many atoms are…

A: Pressure is Temperature is Boltzmann's constant is Note:Find:Number of atoms in a cubic centimeter.

Q: Suppose you want the nuclei in your fusion experiment to have average kinetic energies of 6.55 ×…

Q: You want to propose a new temperature scale, the ° Z scale. On this scale the freezing point of…

Q: What would the surface temperature in degrees Kelvin of the sun have to be so that the rms velocity…

A: Given: mass of the sun = 2.0 x 1030 kg; Radius of the sun = 7 x 108 m

Q: One mole of nitrogen has a mass of 28 g. Calculate the mean speed of the Maxwell-Boltzmann…

A: The mean speed of the Maxwell-Boltzmann distribution c = (8RT/(πM))1/2 M is molar mass R = 8.314…

Q: (a) What is the average kinetic energy in joules of hydrogen atoms on the 5500°C surface of the Sun?…

A: Law of Equipartition of energy states that for any system which is in thermal equilibrium, total…

Q: (a) What is the average kinetic energy (in 3) of hydrogen atoms on the 5500°C surface of the sun?…

Q: Suppose you have helium atoms in a sealed container and 20% of the atoms have a speed of 2.1 × 102…

Q: An expensive vacuum system can achieve a pressure as low as 1 × 10-N/m² at 20 °C. How many atoms are…

A: Given data: Pressure P=1×10-7 N/m2 Temperature T = 20oC Volume V = 1 cm3

Q: Much of the gas near the Sun is atomic hydrogen. Its temperature would have to be 1.50 107 K for…

Q: A certain quantity of hydrogen occupies a volume of 1000 cm' at 0 °C and ordinary atmospheric…

A: The given values are, V1=1000 cm3P1=PP2=3PT1=T2=0° C

Q: 2.a. What is the total Power emitted (in the form of electromagnetic radiation) by a solid…

A: emissivity e = 1 radius r =0.70 mtemperature T = 1280 Kstefans constant σ = 5.67 x 10-8

Q: Sun? The Boltzmann's constant is k=1.38x10-23 J/K J KE av (b) What is the average kinetic energy of…

A: Gas molecule present at atmosphere of given temperature possesses some Kinetic energy which depends…

Q: The sun has a temperature of 6000 K and a radius of 6.07 x 10^18 m^2. What is the heat current if it…

Q: What is the average kinetic energy (in J) of hydrogen atoms on the 5500°C surface of the sun?…

Q: Suppose I tell you that hydrogen in a rigid container at room temperature has a volume of V = 0.40…

A: a) no of moles = massmolecular mass=292=14.5 molone mole = 6.023 x 1023 moleculestotal no of…

Q: On a certain day, the temperature dropped from 480F to 170F in 6 hours. What is the temperature…

Q: Thermal equilibration in a two-level atomic system: purely radiative case. Suppose a collection of…

Q: A child has a temperature of 101°F . If her total skin area is 19 m², find the energy loss per…

Concept explainers

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.

Question

### Kinetic Energy Calculations for Hydrogen and Helium Atoms

1. **(a) Average Kinetic Energy of a Hydrogen Atom on the Sun's Surface**

**Problem Statement:**
- Calculate the average kinetic energy (KE) in joules of a hydrogen atom on the Sun's surface, where the temperature is 5500 °C.
- Boltzmann's constant (k) is provided as \( k = 1.38 \times 10^{-23} \text{ J/K} \).

**Formula:**
\[
KE_{\text{av}} = \frac{3}{2} kT
\]

**Blank to be filled:**
\[
KE_{\text{av}} = \_\_\_\_\_\_\_\_\_\_ \text{ J}
\]

2. **(b) Average Kinetic Energy of a Helium Atom in the Solar Corona**

**Problem Statement:**
- Calculate the average kinetic energy (KE) in joules of a helium atom in a region of the solar corona, where the temperature is \(6 \times 10^5 \text{ K}\).

**Formula:**
\[
KE_{\text{av}} = \frac{3}{2} kT
\]

**Blank to be filled:**
\[
KE_{\text{av}} = \_\_\_\_\_\_\_\_\_\_ \text{ J}
\]

**Explanation of Diagrams:**
There are no diagrams or graphs provided in this section.

**Note to Educators:**
Ensure students understand how to apply the Boltzmann constant and convert temperature to Kelvin if necessary. Clarify the relationship between temperature and kinetic energy according to the formula provided.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given that and asked data

VIEW

Step 2: introduction

VIEW

Step 3: Averge kinitic energy

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 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

5. A storage tank contains mass M of oxygen (O₂) at an absolute pressure of P and temperature T. Another tank of the same volume contains the same mass of CO₂ at the same pressure. What is the temperature in the CO₂ tank? (The combined numbers of protons and neutrons in atoms of C and O are 12 and 16, respectively. Do not use moles!).
A 400 kg satellite is in a circular orbit at an altitude of 425 km above the Earth's surface. Because of air friction, the satellite eventually falls to the Earth's surface, where it hits the ground with a speed of 1.80 km/s. How much energy was transformed into internal energy by means of air friction? Need Help? Read It
T/F: the more ridged (or less compressible) the medium, the faster the speed of sound.
The average body temperature of a healthy person is 37.0°C. Boltzmann's constant is 1.38 × 10−23 J/K. What is the average kinetic energy of the gas molecules in the lungs? If a fever increases the temperature to 38.0°C, by what percentage does the average kinetic energy of the molecules increase?
When a cooked chicken breast is first removed from an oven, it has a surface temperature of 180 C. By the time the chicken is served at the table it has cooled to 120 C. What is the ratio of energy flux density emitted from the surface of the chicken when it has cooled to that when it was hot? Group of answer choices A. depends on mass of the chicken B. 0.20 C. 0.57 D. 0.67 E. depends on surface area of the chicken
1. Suppose the amount of air in a person's lungs is 2.2 L, Calculate the number of moles of air molecules in the person’s lungs when the pressure there is atmospheric pressure. Note that the air is at 37.0°C (body temperature). 2. An expensive vacuum system can achieve a pressure as low as 1.05 × 10-7 Pa at 20°C, How many atoms are there in a cubic centimeter at this pressure and temperature?
4. Assuming a filament in a 100 W light bulb acts as a perfect blackbody (e = 1). what is the temperature of the hottest portion of the filament if it has a surface area of 6.3 105 m²? The Stefan-Boltzmann constant is 5.67 x 10-8 J/(s. m². K*). a) 130.8 K b) 1100.21 K c) 2300.21 K d) 5800.5 K 5. During an evening news broadcast in Helsinki, Finland, the meteorologist indicated that the day's lowest temperature was -6.0 °C. The corresponding value of this temperature on the Fahrenheit scale is ........ a) -7.2 °F b) 4.0 °F c) 21.2 °F d) 25.5 °F
3