STATES OF MATTER Quiz-1

STATES OF MATTER QUIZ-1

Dear Readers,

IIT JEE exam which consists of JEE Main and JEE Advanced is one of the most important entrance exams for engineering aspirants. The exam is held for candidates who are aspiring to pursue a career in the field of engineering and technical studies. Chemistry is important because everything you do is chemistry! Even your body is made of chemicals. Chemical reactions occur when you breathe, eat, or just sit there reading. All matter is made of chemicals, so the importance of chemistry is that it's the study of everything.

Q1. The root mean square velocity of an ideal gas to constant pressure varies with density (d) as

•  d²
•  d
•  √d
•  1/√d

Solution:

Q2.A gas of volume 100 cc is kept in a vessel at pressure 10.4 Pa maintained at temperature 24℃. Now, if the pressure is increased to 105 Pa, keeping the temperature constant, then the volume of the gas becomes

•  10 cc
•  100 cc
•  1 cc
•  1000 cc

Solution:

Q3.  For the non-zero value of the force of attraction between gas molecules, gas equation will be

•  PV=nRT-(n² a)/V
•  PV=nRT+nbP
•  PV=nRT
•  P=nRT/(V-b)

Solution:

Q4.  The compressibility factor for definite amount of van der Waal’s gas at 0℃ and 100 atm is found to be 0.5. Assuming the volume of gas molecules negligible, the van der Waals’ constant a for a gas is

•  1.256 L² mol^(-2) atm
•  0.256 L² mol^(-2) atm
•  2.256 L² mol^(-2) atm
•  0.0256 L² mol^(-2) atm

Solution:

Q5. A 3:2 molar mixture of N₂ and CO is present in a vessel at 500 bar pressure. Due to hole in the vessel, the gas mixture leaks out. The composition of mixture effusing out initially is

•  n_N2:n_CO∷1:2
•  n_N2:n_CO∷6:1
•  n_CO:n_N2∷1:2
•  n_CO:n_N2∷2:3

Solution:

Q6. The compressibility factor for an ideal gas is

•  1.5
•  1.0
• 2.0
•  ∞

Solution:

Q7.At 400 K, the root mean square (rms) speed of a gas X (molecular weight = 40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is

•  2
•  4
•  6
•  8

Solution:

Q8.The value of van der Waals constant a for the gases O₂,N₂,NH₃, and CH₄ are 1.360, 1.390, 4.170, and 2.253 L² atm mol^(-2), respectively. The gas which can most easily be liquefied is

•  O₂
•  N₂
•  NH₃
•  CH₄

Solution:

Q9.A spherical air bubble is rising from the depth of a lake when pressure is P atm and temperature is T K. The percentage increase in the radius when it comes to the surface of a lake will be (Assume temperature and pressure at the surface to be, respectively, 2T K and P/4)

•  100%
•  50%
•  40%
•  200%

Solution:

Q10. If χ_M, χ_P and χ_V are mole fraction, pressure fraction and volume fraction respectively of a gaseous mixture, then:

•  χ_M=1/χ_P =1/χ_V
•  1/χ_M =χ_P=1/χ_V
•  χ_M=χ_P=χ_V
• 1/χ_M=1/χ_P =1/χ_V

Solution: