The root mean square of gas molecules at 25 K and 1.5 bar is 100 m s−1. If the temperature is raised to 100 K and the pressure to 6.0 bar, the root mean square speed becomes
200ms−1
100ms−1
400ms−1
1600ms−1
The correct Answer is:A
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The root mean square speed of gas molecules
Ais same for all gases at the same temperatureBdepends on the mass of the gas molecule and its temperatureCis independent of the density and pressure of the gasDdepends only on the temperature and volume of the gas - Question 1 - Select One
The root mean square velocity of a gas molecule at 100 K and 0.5 atm pressure is 106.4ms−1. If the temperature is rasied to 400 K and the pressure is raised to 2 atm, then root mean square velocity becomes
A106.4ms−1B425.6ms−1C212.8ms−1D851.2ms−1 - Question 1 - Select One
The root mean square velocity of a gas molecule at 100K and 0.5 atm pressure is 106.4ms−1. If the temperature is raised to 400K and the pressure is raised to 2 atm, the root mean square velocity becomes:
A106.4ms−1B425.6ms−1C212.8ms−1D851.2ms−1 - Question 1 - Select One
The root mean square speed of the molecules of a gas is
Aindependent of its pressure but directly proportional to its Kelvin temperatureBdirectly proportional to two square root of both its pressure and its Kelvin temperatureCindepdent of its pressure but directly proportional to the square root of its Kelvin temperature.Ddirectly proportional to its pressure and its Kelvin temperature. - Question 1 - Select One
The root mean spuare (rms) speed of hydrogen molecules at a certain temperature is 300m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen the rms speed will become
A424.26m/sB300 m/sC600 m/sD150 m/s - Question 1 - Select One
The root mean square velocity of a gas molecule of mass m at a given temperature is proportional to
Am0BmCm1/2Dm−1/2
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