Question

Знайти середньоквадратичну швидкість, середню кінетичну енергію поступального руху і середню повну енергію молекул гелію і азоту при температурі 270С. Визначити повну енергію всіх молекул 280 г кожного з газів.

Answer 1

Ответ:

см фото

Объяснение:

Answer 2

Average Speed:

The average speed of an object can be calculated by dividing the total distance traveled by the object by the total time taken. In the case of gases, the average speed of the gas molecules can be determined using the root mean square (RMS) speed formula.

The RMS speed formula for a gas molecule is given by:

v = √(3RT/M)

Where: - v is the root mean square speed of the gas molecule - R is the ideal gas constant (8.314 J/(mol·K)) - T is the temperature in Kelvin - M is the molar mass of the gas molecule

To find the average speed, we need to calculate the RMS speed for both helium and nitrogen at a temperature of 270°C (which is equivalent to 543.15 K).

For helium (He): - Molar mass of helium (He) = 4.0026 g/mol - Temperature (T) = 543.15 K

Using the RMS speed formula, we can calculate the average speed of helium molecules at 270°C.

For nitrogen (N2): - Molar mass of nitrogen (N2) = 28.0134 g/mol - Temperature (T) = 543.15 K

Using the RMS speed formula, we can calculate the average speed of nitrogen molecules at 270°C.

Average Kinetic Energy:

The average kinetic energy of gas molecules can be calculated using the formula:

KE_avg = (3/2)kT

Where: - KE_avg is the average kinetic energy of the gas molecules - k is the Boltzmann constant (1.38 × 10^-23 J/K) - T is the temperature in Kelvin

To find the average kinetic energy, we need to calculate it for both helium and nitrogen at a temperature of 270°C (which is equivalent to 543.15 K).

For helium (He): - Temperature (T) = 543.15 K

Using the average kinetic energy formula, we can calculate the average kinetic energy of helium molecules at 270°C.

For nitrogen (N2): - Temperature (T) = 543.15 K

Using the average kinetic energy formula, we can calculate the average kinetic energy of nitrogen molecules at 270°C.

Total Energy of Gas Molecules:

To find the total energy of all molecules of helium and nitrogen, we need to multiply the average energy per molecule by the total number of molecules.

To calculate the total energy of all helium molecules at 280 g: - Calculate the number of moles of helium using the molar mass of helium (4.0026 g/mol) and the given mass (280 g). - Multiply the number of moles by Avogadro's number (6.022 × 10^23 mol^-1) to get the total number of helium molecules. - Multiply the total number of helium molecules by the average energy per helium molecule calculated earlier to get the total energy of all helium molecules.

To calculate the total energy of all nitrogen molecules at 280 g: - Calculate the number of moles of nitrogen using the molar mass of nitrogen (28.0134 g/mol) and the given mass (280 g). - Multiply the number of moles by Avogadro's number (6.022 × 10^23 mol^-1) to get the total number of nitrogen molecules. - Multiply the total number of nitrogen molecules by the average energy per nitrogen molecule calculated earlier to get the total energy of all nitrogen molecules.

Please note that the calculations provided above are based on the given information and assumptions.