
газ имеет массу 1 кг при давлении 2*10в 5 степени Па.Средняя квадратичная скорость его молекул
600м/с.Определите объём газа

Ответы на вопрос

p = 1/3*p0v^2, где p0 — плотность, а v^2 — средняя квадратичная скорость.
p0 = m/V
P = 1/3*m*v^2/V V = mv^2/3P
V = 600/600000=10^-4 м^3
Ответ: 10^-4 м^3



Calculation of Gas Volume
To determine the volume of the gas, we can use the ideal gas law equation, which states that the product of pressure (P) and volume (V) is equal to the product of the number of moles (n), the gas constant (R), and the temperature (T). The equation can be written as:
PV = nRT
Given: - Mass of the gas (m) = 1 kg - Pressure (P) = 2 * 10^5 Pa - Average square velocity of gas molecules (v) = 600 m/s
To find the volume (V), we need to calculate the number of moles (n) and the temperature (T).
Calculation of Number of Moles (n)
To calculate the number of moles, we can use the formula:
n = m / M
Where: - m is the mass of the gas - M is the molar mass of the gas
Since the molar mass of the gas is not given, we cannot calculate the number of moles without this information.
Calculation of Temperature (T)
To calculate the temperature, we can use the formula:
v = sqrt(3kT / m)
Where: - v is the average square velocity of gas molecules - k is the Boltzmann constant (1.38 * 10^-23 J/K) - T is the temperature in Kelvin - m is the mass of a single gas molecule
We can rearrange the formula to solve for T:
T = (v^2 * m) / (3k)
Given: - Average square velocity of gas molecules (v) = 600 m/s - Mass of the gas (m) = 1 kg
Using the given values and the Boltzmann constant, we can calculate the temperature (T).
Conclusion
Unfortunately, we cannot determine the volume of the gas without knowing the molar mass of the gas. Additionally, we cannot calculate the temperature without the mass of a single gas molecule. Therefore, we do not have enough information to provide a specific answer to the question.


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