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Kinetic Theory Of Gases



Question-1.Let A & B are two sample of ideal gases of equal mole .let T be the temperature of both the gas Let EA and EB are there total energy respectively .Let MA and MB are these respective molecular mass .which of these is true
a,EA > EB
b,EA < EB
c,EA =EB
d,none of these

Solution:1
EA = 3/2 nRT
EB = 3/2 nRT
;EA =EB


Question-2. The velocities of the molecules are v, 2v, 3v, 4v & 5v. The rms speed will be
a,11v
b,v(11)1/2
c, v
d, 3.3v

Solution:2
Vrms= (∑ V2 / N)1/2
= [(V2 + 4V2 + 9V2 + 16V2 + 25V2)/5]1/2
=v(11)1/2

Question-3:
An ideal gas A is there.Intial temperature is 27°C.The temperature of the gas is increased to 927°C.Find the ratio of final Vrms to the initial Vrms

Solution-9:

Vrms=√3RT/M

So it is proportional to Temperature
Now
T1=27°C =300K
T2=927°C =1200K

So intial Vrms=k√300
Final Vrms=k√1200

ratio of final to intial=2:1


Question-.4 Two absolute scales A and B have triple points of water defined as 200A and 350A. what is the relation between TA and TB



Solution-4

Given that on absolute scale
Triple point of water on scale A = 200 A
Triple point of water on scale B = 350 B
Also, triple point of water on Kelvin scale = 273.16 K
Now temperature on scale A and on scale B is equivalent to 273.16 K on absolute temperature scale.
Thus, value of one degree on absolute scale A = (273.16/200) K
Or,
Value of temperature TA on absolute scale A = (273.16XTA)/200
Similarly value of temperature TB on absolute scale B = (273.16XTB)/350
Since TA and TB represent the same temperature
273.16×TA/200 = 273.16×TB/350
Or, TA = 200TB/350 = 4TB/ 7

Question-.5 . which one is not the assumption in kinetic theory of gases
a.the molecules of the gas are in continual random motion
b. The molecules interact during the collison
c. The molecules are tiny hard sphere undergoing inelastic collision
d. The collison are of short duration
Solution-5

Answer is c

Question-.6.
There are two statement
A. Equal volumes of all gases at the same temperature T and pressure P contain an equal no of Molecules
B.the no of molecules in one mole of any gas is 6.0255 * 1022.
which one of the following is correct
a. A and B both
b. A only
c B only
d. A and B both are incorrect
Solution-6
Answer is b

Question-.7. .There are two statement about Ideal gases
A. The Vrms of gas molecules depends on the mass of the gas molecule and the temperature
B. The Vrms is same for all the gases at the same temperature
which one of the following is correct
a. A and B both
b. A only
c B only
d. A and B both are incorrect
Solution-7

Answer is b

Question-.8. .Choose the correct statement of the following
a. The pressure of the gas is equal to the total kinetic energy of the molecules in a unit volume of the gas
b. The product of pressure and volume of the gas is always constant
c. The average kinetic energy of molecule of the gas is proportional to its absolute temperature
d. The average kinetic energy of molecule of the gas is proportional to the square root of its absolute temperature
Solution-8

Answer is c

Question-.9...which one is true according Vander Waal gas equation
a. The attractive forces between the molecules is not negligible
b Volume of the molecules is negligible as compared to the volume occupied by the gas
c. Volume of the molecules is not negligible as compared to the volume occupied by the gas
d. The attractive forces between the molecules is negligible
Solution-9
Answer is a,c



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