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Kinetic Theory Of Gases Questions

Question 1
Let A & B are two sample of ideal gases of equal mole .let T be the temperature of both the gas Let E_A and E_B are there total energy respectively .Let M_A and M_B are these respective molecular mass .which of these is true
a. E_A > E_B
b. E_A < E_B
c. E_A =E_B
d. none of these
Solution
E_A = 3/2 nRT
E_B = 3/2 nRT
E_A =E_B

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
V_rms= (∑ V² / N)^1/2
= [(V² + 4V² + 9V² + 16V² + 25V²)/5]^1/2
=v(11)^1/2

Question 3 An ideal gas A is there.Initial temperature is 27°C.The temperature of the gas is increased to 927°C.Find the ratio of final V_rms to the initial V_rms
Solution-9:
V_rms=√3RT/M
So it is proportional to Temperature
Now
T₁=27°C =300K
T₂=927°C =1200K

So initial V_rms=k√300
Final V_rms=k√1200

ratio of final to initial=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 T_A and T_B
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 T_A on absolute scale A = (273.16XT_A)/200
Similarly value of temperature T_B on absolute scale B = (273.16XT_B)/350
Since T_A and T_B represent the same temperature
273.16×T_A/200 = 273.16×T_B/350
Or, T_A = 200T_B/350 = 4T_B/ 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 collision
c. The molecules are tiny hard sphere undergoing inelastic collisions
d. The collision are of short duration
Solution
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 V_rms of gas molecules depends on the mass of the gas molecule and the temperature
B. The V_rms 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 Waals 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
Answer is a,c

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