States of Matter PYQs Set 4 (PDF)

Set 4 of 7 · Questions 91-120 of 196

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Mere Teacher · Previous Year Questions NEET Chemistry · States of Matter · Set 4 (Q91-120)
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91. $The rate of diffusion of methane at 1.0 atm pressure is twice than that of another gas ' X' kept at 1.45 atm . The molecular of the gas ' X' is [T kept constant]$ (1) $44$ (2) $32$ (3) $28$ (4) $21$ 92. $Root mean square (rms) speed of O_{2} is 500 m / s at a constant temperature. Calculate the rms speed and the average kinetic energy of H_{2} at the same temperature. (Consider, (R = 833 JK^{- 1} mol^{- 1})$ (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) $2000 m / s and 4.7 kJ / mol$ 93. $A gaseous mixture of 3 gases A, B and C has a pressure 10 atm . The total number of moles are 10. If partial pressure of gases A and B are 3 atm and 1 atm respectively and if molar mass of gas C is 2 . Calculate the weight of C in the mixture.$ (1) $12 g$ (2) $24 g$ (3) $8 g$ (4) $2 g$ 94. $The r.m.s. velocity of molecules of a gas of density 4 kg m^{- 3} and pressure 1.2 \times 10^{5} N m^{- 2} is$ (1) $900 m s^{- 1}$ (2) $600 m s^{- 1}$ (3) $120 m s^{- 1}$ (4) $300 m s^{- 1}$ 95. $A gas at a pressure of 2 atm is heated from 25^{\circ} C to 323^{\circ} C and simultaneously compressed to 2/ 3^{rd} of its original value. Then the final pressure is$ (1) $1.33 atm$ (2) $6 atm$ (3) $2 atm$ (4) $4 atm .$ 96. $Consider the van der Waals constant, a and b for the following gases, Gas Ar Ne Kr Xe a/(atm dm^{6} mol^{- 2}) 1.3 0.2 5.1 4.1 b/ (10^{- 2} dm^{3} mol^{- 1}) 3.2 1.7 1.0 5.0 Which gas is expected to have the highest critical temperature ?$ (1) $Kr$ (2) $Ne$ (3) $Xe$ (4) $Ar$ 97. $The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures of the gases for equal number of moles are:$ (1) $3 P_{A} = 2 P_{B}$ (2) $2 P_{A} = 3 P_{B}$ (3) $P_{A} = 3 P_{B}$ (4) $P_{A} = 2 P_{B}$ 98. $2.5 L of a sample of a gas at 27°C and 1 bar pressure is compressed to a volume of 500 mL keeping the temperature constant, the percentage increase in pressure is$ (1) $100 %$ (2) $400 %$ (3) $500%$ (4) $80%$ 99. $Helium atom is two times heavier than a hydrogen molecule at 298 K, the average kinetic energy of helium is :$ (1) $two times that of hydrogen molecule$ (2) $same as that of the hydrogen molecule$ (3) $four times that of a hydrogen molecule$ (4) $half that of a hydrogen molecule$ 100. $Cooking is fast in a pressure cooker, because$ (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) $food particles are effectively smashed.$ 101. $According to kinetic molecular theory of gases, which of the following statements are correct?(A) The actual volume of the molecules is negligible in comparison to the empty space between them.(B) Collisions of gas molecules are inelastic(C) At any particular time, different particles in the gas have same speed and same kinetic energies.(D) Pressure is exerted by the gas as a result of collision of the particles with the walls of the container.$ (1) $A and B only$ (2) $A, B and C only$ (3) $A and D only$ (4) $A, B, C and D$ 102. $0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m^{3} at 1000 K. Given R is the gas constant in J K^{-1} m o l^{-1}, x is$ (1) $\frac{4- R}{2 R}$ (2) $\frac{2 R}{4 + R}$ (3) $\frac{2 R}{4 - R}$ (4) $\frac{4 + R}{2 R}$ 103. $If two gases CH_{4} and SO_{2}, are allowed to enter from the two ends of a 1 km long vacuum tube at the same time, where will the gases meet from the CH_{4} end?$ (1) $500 m$ (2) $620 m$ (3) $667 m$ (4) $720 m$ 104. $1 L closed flask contains a mixture of 4 g of methane and 4.4 g of carbon dioxide. The pressure inside the flask at 27^{\circ} C is [Assume ideal behaviour of gases]$ (1) $8.6 atm$ (2) $2.2 atm$ (3) $4.2 atm$ (4) $6.1 atm$ 105. $A 100 L cylinder containing H_{2} exerted a pressure of 4 atm at 300 K . It was accidentally opened and some H_{2} was escaped. When it was closed, it exerted a pressure of 3 atm at 300 K . The number of moles of H_{2} remaining in the cylinder is equal to(Assume H_{2} as an ideal gas; R = gas constant)$ (1) $1 2 R$ (2) $R$ (3) $\frac{1}{R}$ (4) $2 R$ 106. $The temperature at which 4 moles of a gas occupy 5 dm^{3} volume at 3.32 bar pressure is$ (1) $50 K$ (2) $50^{\circ} C$ (3) $27^{\circ} C$ (4) $100 K$ 107. $What is the density of one mole of He (molar mass = 4 g (mol^{- 1}) at 300 K and a pressure of 0.82 atm ? (R = 0.082 L atm mol^{- 1} K^{- 1})$ (1) $1.33 \times 10^{- 2} g mL^{- 1}$ (2) $1.33 \times 10^{- 2} g L^{- 1}$ (3) $1.33 \times 10^{- 1} g L^{- 1}$ (4) $1.33 \times 10^{- 1} g mL^{- 1}$ 108. $One mole of an ideal gas occupies 12 L at 297^{\circ} C . What is the pressure of the gas?$ (1) $207 kPa$ (2) $395 kPa$ (3) $395 Pa$ (4) $207 Pa$ 109. $Find the temperature in degree celsius if volume and pressure of 2 mole ideal gas is 20 dm^{3} and 4.926 atmosphere respectively. (R = 0.0821 dm^{3} atm K^{- 1} mol^{- 1})$ (1) $273$ (2) $327$ (3) $600$ (4) $453$ 110. $At 27^{\circ} C in a 10 L flask 4.0 g of an ideal gaseous mixture containing. He (molar mass 4.0 g mol^{- 1}) and Ne (molar mass 20 g mol^{- 1}) has a pressure of 1.23 atm . What is the mass % of neon? (R = 0.082 L atm K^{- 1} mol^{- 1})$ (1) $25.2$ (2) $62.5$ (3) $84.2$ (4) $74.2$ 111. $Which of the following gases has the highest value of RMS velocity at 298 K ?$ (1) $CH_{4}$ (2) $CO$ (3) $Cl_{2}$ (4) $CO_{2}$ 112. $At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behavior. Their equation of state is given as P = \frac{RT}{V - b} at T. Here, b is the van der Waals constant. Which gas will exhibit steepest increase in the plot of Z (compression factor) vs P ?$ (1) $Xe$ (2) $Kr$ (3) $Ne$ (4) $Ar$ 113. $A neon-dioxygen mixture contains 64 g_{2} and 160 g Ne. If the total pressure is 25 bar, calculate the partial pressure of dioxygen.$ (1) $5 bar$ (2) $7.5 bar$ (3) $10 bar$ (4) $20 bar$ 114. $The compressibility factor (z) is lower for NH_{3} and CO_{2} gases than that of N_{2} gas, because$ (1) $van der Waals constants 'a' of CO_{2} and NH_{3} are greater than that of N_{2}$ (2) $van der Waals constants 'a' of CO_{2} and NH_{3} are less than that of N_{2}$ (3) $'a' (NH_{3}) > a'^{2} (N_{2}) but 'a' (CO_{2}) <'a' (N_{2})$ (4) $'a' (NH_{3}) <'a' N2 but 'a' (CO_{2}) >'a' N2$ 115. $A balloon filled with ethyne is pricked with a sharp point and quickly dropped in a tank of H_{2} gas under identical conditions. After a while the balloon will :$ (1) $Shrink$ (2) $Enlarge$ (3) $Completely collapse$ (4) $Remain unchanged in size$ 116. $Which of the following is not the correct set of pressure and volume at constant temperature and constant moles of gas ? P V$ (1) $1 atm 200 ml$ (2) $760 mm 0.2 L$ (3) $0.5 atm 100 L$ (4) $2 atm 100 mL$ 117. $At 0^{\circ} C a gas occupies 22.4 liters. What is the temperature in Kelvin to reach the volume of 224 liters?$ (1) $546 K$ (2) $273 K$ (3) $2730 K$ (4) $5460 K$ 118. $At a given temperature, the density of an ideal gas is proportional to (P = pressure of ideal gas)$ (1) $\frac{1}{P}$ (2) $P$ (3) $P^{2}$ (4) $P$ 119. $Helium molecule is two times heavier than hydrogen molecule at 298 K . According to kinetic theory, the average kinetic energy of helium at 298 K is$ (1) $two times higher than a hydrogen molecule$ (2) $four times higher than a hydrogen molecule$ (3) $same as that of a hydrogen molecule$ (4) $half of a hydrogen molecule$ 120. $At 300 K, the following graph is obtained for one mole of an ideal gas. If its pressure is 10 atm, then its volume (in L) will be$ (1) $0.11$ (2) $1.1$ (3) $2.0$ (4) $4.0$