Kinetic Theory of Gases MCQs for NEET — Physics Questions with Answers

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The respective speeds of the molecules are 1, 2, 3, 4 and 5 km/sec. The ratio of their r.m.s. velocity and the average velocity will be

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Explanation

1.   vrms=12+22+32+42+525 =11km/s       vav=1+2+3+4+55=3 km/s       vrmsvav=113

According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to

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Explanation

2. vrmsT

At a given temperature the root mean square velocities of oxygen and hydrogen molecules are in the ratio

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Explanation

4.    vrms1M ;        so vrmso2vrmsH2=MH2MO2=232=1 : 4

The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square velocity of the gas molecules is v, at 480 K it becomes

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Explanation

2.    vrmsT v1v2=T1T2=120480=12 v2=2v

By what factor the r.m.s. velocity will change, if the temperature is raised from 27°C to 327°C

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Explanation

1.       vrmsT v1v2=T1T2=273+27273+327=300600=12 v2=2v1

At a given temperature if Vrms is the root mean square velocity of the molecules of a gas and Vs the velocity of sound in it, then these are related as γ=CPCv

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Explanation

(2)  Vrms =3Pρ, and Vsound=γPρ       So VrmsVsound=3γ Vrms=3γ×Vsound

Let A and B the two gases and given : TAMA=4.TBMB ; where T is the temperature and M is molecular mass. If CA and CB are the r.m.s. speed, then the ratio CACB will be equal to

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Explanation

1.   TAMA=4.TBMB TAMA=2TBMB        3RTAMA=23RTMB         CA=2CB        CACB=2

For a gas at a temperature the root-mean-square velocity vrms , the most probable speed vmp , and the average speed vav obey the relationship

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Explanation

2. vrms>vav>vmp

If VH, VN and VO denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then

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Explanation

2.    vrms1M VH>VN>VO            MH<MN<MO

The r.m.s. speed of a group of 7 gas molecules having speeds 6, 4, 2, 0, -2, -4, -6 m/s is

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Explanation

4.    vrms=62+42+22+02+-22+-42+-627               = 4 m/s

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