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The molecules of a given mass of a gas

Question:

The molecules of a given mass of a gas have root mean square speeds of 100 m/s at 27oC and 1.00 atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at 127oC and 2.0 atmospheric pressure?

Solution:

Vrms = 100 m/s

T1 = 300 K

T2 = 400 K

Vrms = √3RT/M

V2rms =?

Vrms = 115.4 m/s

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