States of Matter PYQs Set 4 (PDF)

Set 4 of 8 · Questions 91-120 of 228

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Mere Teacher · Previous Year Questions JEE Main Chemistry · States of Matter · Set 4 (Q91-120)
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91. $The vapour density of gas A is four times that of B. If the molecular mass of B is M then molecular mass of A is:$ (1) $M$ (2) $4M$ (3) $M/4$ (4) $2M$ 92. $What is the approximate most probable velocity of oxygen? If the kinetic energy of one mole of oxygen is 3741.3 J .$ (1) $43851 J kg^{- 1}$ (2) $48321 J kg^{- 1}$ (3) $155887 J kg^{- 1}$ (4) $3950 J kg^{- 1}$ 93. $16 g each of H_{2}, He and O_{2} are present in a container exerting 10 atm . pressure at T (K) . The pressure in atm exerted by 16 g each of He and O_{2} in the second container of same volume and temperature is$ (1) $1.8$ (2) $6.4$ (3) $3.6$ (4) $5.4$ 94. $If all the oxygen atoms present in 4 mole H_{2} S O_{4}, 2 mole P_{4} O_{10} & 2mole N O_{2} are collected for the formation of O_{2} gas molecules then calculate volume of O_{2} gas formed at 2 atm pressure & 273 K temperature.$ (1) $224 L$ (2) $448 L$ (3) $336 L$ (4) $112 L$ 95. $The term that corrects for the attractive forces present in a real gas in the vander Waals equation is :$ (1) $nb$ (2) $\frac{a n ^{2}}{V ^{2}}$ (3) $- \frac{a n ^{2}}{V ^{2}}$ (4) $-nb$ 96. $Two flasks A and B have equal volumes. A is maintained at 300 K and B at 600 K, while A contains H_{2} gas, B has an equal mass of C O_{2} gas. Find the ratio of total K.E. of gases in flask A to that of B.$ (1) $1 : 2$ (2) $11 : 1$ (3) $33 : 2$ (4) $55 : 7$ 97. $The density of a gas at 27^{\circ} C and 1 atm is d . Pressure remaining constant, at which of the following temperatures will its density become 0.75 d ?$ (1) $20^{\circ} C$ (2) $30^{\circ} C$ (3) $400 K$ (4) $300 K$ 98. $Two containers A and B contain CO_{2} gas. Pressure, volume and absolute temperature of the gas in A are 4 times more compared to that in B . The mass of the gas in B is x g, then the mass of the gas in A will be$ (1) $\frac{x}{2} g$ (2) $4 xg$ (3) $2 xg$ (4) $16 xg$ 99. $The rates of diffusion of SO_{2}, CO_{2}, PCl_{3} and SO_{3} are in the following order$ (1) $CO_{2} > SO_{2} > PCl_{3} > SO_{3}$ (2) $PCl_{3} > SO_{3} > SO_{2} > CO_{2}$ (3) $SO_{2} > SO_{3} > PCl_{3} > CO_{2}$ (4) $CO_{2} > SO_{2} > SO_{3} > PCl_{3}$ 100. $20 mL of gas A and 10 mL of gas B diffuses through a porous membrane separately in 1 minute. If the vapor density of B is X, what is the vapor density of A?$ (1) $2 x$ (2) $4 x$ (3) $\frac{x}{4}$ (4) $\frac{x}{2}$ 101. $Diffusion of CH_{4} (g) and O_{2} (g) occurs under similar conditions, then the ratio of their rates of diffusion is$ (1) $1.414$ (2) $0.707$ (3) $2.312$ (4) $1.732$ 102. $One mole of a monoatomic real gas satisfies the equation p(V - b) = RT where b is a constant. The relationship of interatomic potential V(r) and interatomic distance r for the gas is given by$ (1) (2) (3) (4) 103. $The rate of diffusion of methane at 1.0 atm pressure is twice than that of another gas ' X' kept at 1.45 atm . The molecular of the gas ' X' is [T kept constant]$ (1) $44$ (2) $32$ (3) $28$ (4) $21$ 104. $Root mean square (rms) speed of O_{2} is 500 m / s at a constant temperature. Calculate the rms speed and the average kinetic energy of H_{2} at the same temperature. (Consider, (R = 833 JK^{- 1} mol^{- 1})$ (1) $500 m / s and 4.0 kJ / mol$ (2) $2000 m / s and 4.0 kJ / mol$ (3) $500 m / s and 4.7 kJ / mol$ (4) $2000 m / s and 4.7 kJ / mol$ 105. $A gaseous mixture of 3 gases A, B and C has a pressure 10 atm . The total number of moles are 10. If partial pressure of gases A and B are 3 atm and 1 atm respectively and if molar mass of gas C is 2 . Calculate the weight of C in the mixture.$ (1) $12 g$ (2) $24 g$ (3) $8 g$ (4) $2 g$ 106. $The r.m.s. velocity of molecules of a gas of density 4 kg m^{- 3} and pressure 1.2 \times 10^{5} N m^{- 2} is$ (1) $900 m s^{- 1}$ (2) $600 m s^{- 1}$ (3) $120 m s^{- 1}$ (4) $300 m s^{- 1}$ 107. $A gas at a pressure of 2 atm is heated from 25^{\circ} C to 323^{\circ} C and simultaneously compressed to 2/ 3^{rd} of its original value. Then the final pressure is$ (1) $1.33 atm$ (2) $6 atm$ (3) $2 atm$ (4) $4 atm .$ 108. $Consider the van der Waals constant, a and b for the following gases, Gas Ar Ne Kr Xe a/(atm dm^{6} mol^{- 2}) 1.3 0.2 5.1 4.1 b/ (10^{- 2} dm^{3} mol^{- 1}) 3.2 1.7 1.0 5.0 Which gas is expected to have the highest critical temperature ?$ (1) $Kr$ (2) $Ne$ (3) $Xe$ (4) $Ar$ 109. $The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures of the gases for equal number of moles are:$ (1) $3 P_{A} = 2 P_{B}$ (2) $2 P_{A} = 3 P_{B}$ (3) $P_{A} = 3 P_{B}$ (4) $P_{A} = 2 P_{B}$ 110. $2.5 L of a sample of a gas at 27°C and 1 bar pressure is compressed to a volume of 500 mL keeping the temperature constant, the percentage increase in pressure is$ (1) $100 %$ (2) $400 %$ (3) $500%$ (4) $80%$ 111. $Helium atom is two times heavier than a hydrogen molecule at 298 K, the average kinetic energy of helium is :$ (1) $two times that of hydrogen molecule$ (2) $same as that of the hydrogen molecule$ (3) $four times that of a hydrogen molecule$ (4) $half that of a hydrogen molecule$ 112. $Cooking is fast in a pressure cooker, because$ (1) $water boils at high temperature inside the pressure cooker$ (2) $food is cooked at constant volume$ (3) $loss of heat due to radiation is minimum$ (4) $food particles are effectively smashed.$ 113. $According to kinetic molecular theory of gases, which of the following statements are correct?(A) The actual volume of the molecules is negligible in comparison to the empty space between them.(B) Collisions of gas molecules are inelastic(C) At any particular time, different particles in the gas have same speed and same kinetic energies.(D) Pressure is exerted by the gas as a result of collision of the particles with the walls of the container.$ (1) $A and B only$ (2) $A, B and C only$ (3) $A and D only$ (4) $A, B, C and D$ 114. $0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m^{3} at 1000 K. Given R is the gas constant in J K^{-1} m o l^{-1}, x is$ (1) $\frac{4- R}{2 R}$ (2) $\frac{2 R}{4 + R}$ (3) $\frac{2 R}{4 - R}$ (4) $\frac{4 + R}{2 R}$ 115. $If two gases CH_{4} and SO_{2}, are allowed to enter from the two ends of a 1 km long vacuum tube at the same time, where will the gases meet from the CH_{4} end?$ (1) $500 m$ (2) $620 m$ (3) $667 m$ (4) $720 m$ 116. $1 L closed flask contains a mixture of 4 g of methane and 4.4 g of carbon dioxide. The pressure inside the flask at 27^{\circ} C is [Assume ideal behaviour of gases]$ (1) $8.6 atm$ (2) $2.2 atm$ (3) $4.2 atm$ (4) $6.1 atm$ 117. $At constant temperature, a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40 % is mm Hg. (Nearest integer)$ 118. $A certain gas obeys P (V_{m} - b) = RT . The value of (\frac{\partial Z}{\partial P})_{T} is \frac{xb}{RT} . The value of x is:$ 119. $for a real gas at 25°C temperature and high pressure (99 bar) the value of compressibility factor is 2, so the value of Vander Waal's constant 'b' should be_________x 1 0^{- 2} L m o l^{- 1} (Nearest integer) (Given R = 0.083 L bar K^{- 1} m o l^{- 1})$ 120. $A certain quantity of real gas occupies a volume of 0.15 dm^{3} at 100 atm and 500 K when its compressibility factor is 1.07. Its volume at 300 atm and 300 K (When its compressibility factor is 1.4) is \times 10^{- 4} dm^{3} (Nearest integer)$