Long-term plan section:

Fundamentals of thermodynamics

School:

Date: _______________________

Teacher Name:

Class: 10

Number of attendees: ______

Absentee(s): ____

Lesson Theme

The internal energy of an ideal gas.

Learning Objectives

To use internal energy formulae of the monoatomic and diatomic ideal gas in problem solving

Evaluation Criteria

-        Explain on which parameters the internal energy of the gas depends;

-        Derive the formula of the internal energy of an ideal gas;

-        Calculate the internal energy of the gas.

Language Objectives

Vocabulary and terminology specific to the subject:

Temperature, volume, pressure, isoprocess, Isobar, isochore, isotherm series, monoatomic, diatomic, polyhydric, internal energy

Useful phrases for writing dialogue/:

The basic equation of MKT ……

From the ideal gas equation, it follows that ….

The internal energy of an object is dependent on…

A polyhydric substance contains more than one…

… is monoatomic because ….

Instilling values

Effective communication skills, respect for the opinion of classmates

Inter-subject

Connections

Mathematics (derivation of formulas), chemistry (molecular structure)

ICT Skills

Search for additional information on the Internet.

Prior Knowledge

Structure of solid, liquid and gaseous bodies, macroparameters, basic equation of MKT (Kinetic Molecular Theory)

Lesson Plan

Scheduled Lesson Stages

Scheduled Lesson Activities

Resources

Beginning

5 minutes.

Teacher demonstration: the teacher holds a marker in his hand (the marker has potential energy relative to the Earth), then throws it (potential turns into kinetic), then rests after a blow (what energy did it transfer?)

Joint statement of the theme and objectives of the lesson:

Internal energy.

- apply the formulas of the internal energy of a monatomic and diatomic ideal gas when solving problems

Word document “Theme, Learning Objective, Criteria for Success”

PPTX

1-3 slides

Slide 4

Middle

10 minutes

5minutes

7 minutes

10 minutes

Derivation of the formula for the internal energy of an ideal gas.

If a gas is monatomic, then its molecules can be considered material points that move exclusively translationally (there is no kinetic energy of rotational and oscillatory motions). In this case, substituting the expression for the average kinetic energy of the movement of molecules into the expression for the internal energy of the gas, we obtain: .

Express N through the amount of substance: .

Given this: .

The product of the Boltzmann constant and the Avogadro number is called the universal gas constant and is denoted by the capital Latin letter R.

Thus, the expression for the internal energy of a monatomic ideal or rarefied real gas takes the following form: .

For dual-atom (diatomic) gas (Example: , , CO etc.) .

Diatomic Molecules

For a gas with three atoms or more (Example:  , )

Gas with three or more atoms

(I) Task 1. Write the derivation of the formula for the internal energy of an ideal gas in a notebook (step by step)

Stage 1. Write down the formulas that you will use.

Stage 2 Record the phased derivation of the formula.

(W)Task 2. Joint solution of the problem

Calculate the internal energy of 1 mole of an ideal monatomic gas at a temperature 127 ⁰С.

 (G) Task 3.Solve problems in the notebook in pairs by the criteria:

1. What is the internal energy of 10 moles of argon at 27⁰С ?

2.Find the internal energy U mass m=20 g oxygen at temperature 

t = 10 °С.

3.Find the internal energy U diatomic gas, located in a vessel V = 2 L under pressure р = 150 kPa.

Mutual testing of neighboring desks by criteria

5 slides

Word document “Instruction Card for Students – Internal Energy”

6-7 slides

8 slides

End

3 minutes

Reflection on learning objectives:

-        Explain on which parameters the internal energy of the gas depends;

-        Derive the formula of the internal energy of an ideal gas;

-        Calculate the internal energy of the gas.

Homework:

1.      Find the internal energy U given the mass m = 20 g nitrogen at a temperature of t = 10 °С.

2.      What is the internal energy of helium, fill a balloon with a volume of V = 60 m³ when pressure р = 100 kPa.

3.      How will the internal energy of an ideal monatomic gas change, if its pressure increases 3 times and the volume becomes 2 times smaller?

Differentiation - how do you plan to provide more support? What tasks do you plan to set for more capable students?

Grading - How do you plan to check students' level of learning?

Health & Safety

I plan to support them through a general discussion of the results of working with text with Internet sources, suggested text questions, and individual counseling.

Pairing, individual counseling

Creating a favorable psychological atmosphere, the compliance of tasks to the level of preparedness of students, the change of activities, counseling.

What tasks do you plan to set for more capable students?

Providing advice to students who have difficulty

Students will:

Most students will:

Some learners will be:

-        Explain on which parameters the internal energy of the gas depends;

-        Derive the formula of the internal energy of an ideal gas;

-        Calculate the internal energy of the gas.

-          Solve all problems on their own without the help of a teacher

Lesson Reflection

Use this section to reflect on the lesson. Answer the most important questions about your lesson from the left column.

Were the objectives of the lesson / learning objectives realistic?

Have all students reached the DH?

If not, why not?

Is the differentiation correct in the lesson?

Have the lesson temporal stages been sustained?

What were the deviations from the lesson plan and why?

Overall rating

What are two aspects of the lesson that went well (think about both teaching and learning)?

1:

2:

What could contribute to improving the lesson (think about both teaching and learning)?

1:

2:

What did I find out during the lesson about the class or the achievements / difficulties of individual students, what should I look for in subsequent lessons?