A monatomic ideal gas is in a cylinder at a temperature of T = 130K. If the molar mass of the gas

A monatomic ideal gas is in a cylinder at a temperature of T = 130K. If the molar mass of the gas is M = 4.00 g / mol, then the mean square velocity vkv of its molecules is.

Initial data: T (absolute temperature of the ideal gas in the cylinder) = 130 K; M (molar mass of gas) = 4 g / mol (4 * 10-3 kg / mol).

Reference values: R (universal gas constant) = 8.31 J / (mol * K).

The root mean square velocity of gas molecules in the cylinder is determined by the formula: Vkv. = √ (3RТ / М).

Calculation: Vkv. = √ (3 * 8.31 * 130 / (4 * 10-3)) ≈ 900 m / s.

Answer: The ideal gas molecule in the cylinder has a root mean square velocity of 900 m / s.



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