The mean square velocity of gas molecules in a cylinder is 1000 m / s.

The mean square velocity of gas molecules in a cylinder is 1000 m / s. What will this speed become if the mass of gas in the cylinder is doubled at T-const.

The root mean square velocity of gas molecules can be calculated using the following formula:
V = √ (3kT / m0), where by condition V = 1000 m / s.
The mean square velocity of gas molecules after increasing the mass of gas in the cylinder:
V1 = √ (3kT / m01), where, by condition, T = const, m01 = 2m0.
V1 = √ (3kT / 2m0) = √1 / 2 * √ (3kT / m0) = 0.707V = 0.707 * 1000 = 707 m / s.
Answer: The mean square velocity of gas molecules will be 707 m / s.



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