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?
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?

Answer:

According to the question, Vrms = 100 m/s

T1 = 300 K and T2 = 400 K

Expression for root mean square velocity is

Vrms = √3RT/M

Upon substituting the given values, we get

Vrms = 115.4 m/s