
1. Тиск газу дорівнює 80 кПа, а концентрація його молекул 2×10²⁵ м-³. Визначте середню кінетичну
енергію поступального руху молекул газу.

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Calculating the Average Kinetic Energy of Gas Molecules
To calculate the average kinetic energy of gas molecules, we can use the formula:
Average Kinetic Energy = (3/2) * k * T
Where: - k is the Boltzmann constant (1.38 × 10^-23 J/K) - T is the temperature in Kelvin
First, we need to convert the pressure and concentration of gas molecules into the temperature.
Calculating Temperature from Pressure
We can use the ideal gas law to calculate the temperature: PV = nRT
Where: - P is the pressure (80 kPa, which is 80,000 Pa) - V is the volume (not given) - n is the number of moles (not given) - R is the ideal gas constant (8.31 J/(mol·K))
Since the volume and number of moles are not given, we cannot directly calculate the temperature from the given pressure.
Calculating Temperature from Concentration
We can use the kinetic theory of gases to relate the concentration of gas molecules to the temperature: PV = (1/3) * N * m * c^2
Where: - P is the pressure (80 kPa, which is 80,000 Pa) - V is the volume (not given) - N is the number of molecules (2×10^25) - m is the mass of a molecule (not given) - c is the root-mean-square speed of the molecules
Unfortunately, without the volume or the mass of a molecule, we cannot directly calculate the temperature from the given concentration.
Conclusion
Without additional information such as the volume or the mass of a molecule, it is not possible to calculate the average kinetic energy of the gas molecules. If you have additional information, please provide it so that we can proceed with the calculation.


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