21. Kinetic Theory of Ideal Gases

Internal Energy of Gases

21. Kinetic Theory of Ideal Gases

Internal Energy of Gases

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Internal Energy of Ideal Monoatomic Gases

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Internal Energy of Ideal Monoatomic Gases

Total Internal Energy

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Derivation of Internal Energy Formula for Ideal Monatomic Gas

04:10

Derivation of Internal Energy Formula for Ideal Monatomic Gas

Calculation of the change in internal energy of a gas.

7 18 What is the internal energy of an ideal gas?

Kinetic Theory of Gases and Internal Energy

Internal Energy of Gas - Thermodynamic Systems

Internal energy of gases | Mechanical Engineering Thermodynamics

Adriaan Van Niekerk

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Multiple Choice

A container filled with 2 mol of an ideal, monoatomic gas is has a total internal energy equal to the kinetic energy of a 0.008kg bullet travelling at 700 m/s. What is the temperature of the gas in Kelvin?

(a) Compute the specific heat at constant volume of nitrogen (N2) gas, and compare it with the specific heat of liquid water. The molar mass of N2 is 28.0 g/mol.

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Textbook Question

How much heat does it take to increase the temperature of 1.80 mol of an ideal gas by 50.0 K near room temperature if the gas is held at constant volume and is (b) monatomic?

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Textbook Question

How much heat does it take to increase the temperature of 1.80 mol of an ideal gas by 50.0 K near room temperature if the gas is held at constant volume and is (a) diatomic;

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Textbook Question

A 100 cm³ box contains helium at a pressure of 2.0 atm and a temperature of 100℃. It is placed in thermal contact with a 200 cm³ box containing argon at a pressure of 4.0 atm and a temperature of 400℃. b. What is the final thermal energy of each gas?

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Textbook Question

The thermal energy of 1.0 mol of a substance is increased by 1.0 J. What is the temperature change if the system is (a) a monatomic gas, (b) a diatomic gas, and (c) a solid?

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Textbook Question

The vibrational modes of molecular nitrogen are 'frozen out' at room temperature but become active at temperatures above ≈1500 K. The temperature in the combustion chamber of a jet engine can reach 2000 K, so an engineering analysis of combustion requires knowing the thermal properties of materials at these temperatures. What is the expected specific heat ratio γ for nitrogen at 2000 K?

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Textbook Question

2.0 mol of monatomic gas A initially has 5000 J of thermal energy. It interacts with 3.0 mol of monatomic gas B, which initially has 8000 J of thermal energy. a. Which gas has the higher initial temperature?

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Textbook Question

A gas of 1.0 x 10²⁰ atoms or molecules has 1.0 J of thermal energy. Its molar specific heat at constant pressure is 20.8 J/ mol K. What is the temperature of the gas?

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Textbook Question

2.0 g of helium at an initial temperature of 300 K interacts thermally with 8.0 g of oxygen at an initial temperature of 600 K. c. How much heat energy is transferred, and in which direction?

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Textbook Question

A water molecule has its three atoms arranged in a 'V' shape, so it has rotational kinetic energy around any of three mutually perpendicular axes. However, like diatomic molecules, its vibrational modes are not active at temperatures below 1000 K. What is the thermal energy of 2.0 mol of steam at a temperature of 160°C?

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Textbook Question

The rms speed of the molecules in 1.0 g of hydrogen gas is 1800 m/s. c. 500 J of work are done to compress the gas while, in the same process, 1200 J of heat energy are transferred from the gas to the environment. Afterward, what is the rms speed of the molecules?

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Textbook Question

(I) What is the internal energy of 5.40 mol of an ideal diatomic gas at 2450 K, assuming all possible degrees of freedom are active?

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Textbook Question

(II) Show that if the molecules of a gas have f degrees of freedom, then theory predicts C_V = 1/2 ƒ R and C_P = 1/2 ( ƒ + 2) R.

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21. Kinetic Theory of Ideal Gases

Internal Energy of Gases

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