States of Matter PYQs Set 2 (PDF)

Set 2 of 8 · Questions 31-60 of 228

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Mere Teacher · Previous Year Questions JEE Main Chemistry · States of Matter · Set 2 (Q31-60)
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31. $If Z is a compressibility factor, vander Waals equation at low pressure can be written as :$ (1) $Z = 1 + \frac{R T}{P b}$ (2) $Z = 1 - \frac{a}{V R T}$ (3) $Z = 1 - \frac{P b}{R T}$ (4) $Z = 1 + \frac{P b}{R T}$ 32. $25 g of each of the following gases are taken at 27^{\circ} C and 600 mm pressure. Which of these will have the least volume?$ (1) $HBr$ (2) $HCl$ (3) $HF$ (4) $HI$ 33. $What is the correction term in the pressure for real gas in comparison to the ideal gas?$ (1) $\frac{n ^{2}}{V ^{2}}$ (2) $\frac{a V ^{2}}{n ^{2}}$ (3) $\frac{a n ^{2}}{V ^{2}}$ (4) $\frac{a n ^{2}}{V} - nb$ 34. $If V_{0} is the volume of a given mass of gas at 273 K at constant pressure, then according to Charle's law, the volume at 10ºC will be :$ (1) $10 V_{0}$ (2) $\frac{2}{273} (V_{0} + 10)$ (3) $V_{0} + \frac{10}{273}$ (4) $\frac{283}{273} V_{0}$ 35. $The vapors of 1 g of an element occupy 2.5625 L exerting a pressure of 0.5 atm at 1000 K . What is the molar mass (in g mol^{- 1}) of the element? (Assume vapors follow ideal gas equation. Given R = 0.082 L atm mol^{- 1} K^{- 1})$ (1) $64$ (2) $16$ (3) $32$ (4) $128$ 36. $4.4 grams of a gas at 0^{\circ} C and 0.82 atm pressure occupies a volume of 2.73 L. The gas can be$ (1) $O_{2}$ (2) $CO$ (3) $NO_{2}$ (4) $CO_{2}$ 37. $Arrange the following gases in increasing order of van der Waals constant 'a' (A) Ar (B) CH_{4} (C) H_{2} O (D) C_{6} H_{6} Choose the correct option from the following.$ (1) $D, C, B and A$ (2) $A, B, C and D$ (3) $B, C, D and A$ (4) $C, D, B and A$ 38. $Which of the following describes an ideal gas? (i) The volume occupied by a gas molecule is negligible. (ii) The collision between ideal gases are elastic. (iii) Particles are very small compared to the distance between each other.$ (1) $(i) and (ii) only$ (2) $(i) and (iii) only$ (3) $(ii) and (iii) only$ (4) $(i), (ii) and (iii) only$ 39. $For an ideal gas, compressibility factor is$ (1) $0$ (2) $1$ (3) $-1$ (4) $+2$ 40. $When the absolute temperature of ideal gas is doubled and pressure is halved, the volume of gas$ (1) $will be half of the original volume$ (2) $will be 4 times the original volume$ (3) $will be 2 times the original volume$ (4) $will be 1/4 th times the original volume.$ 41. $The pressure inside two gas cylinders of volume 25 m^{3} and 50 m^{3} are 10 kPa and 20 kPa respectively. The cylinders are kept at the same temperature and separated by a valve. What is the pressure in the combined system when the vale is opened?$ (1) $30 kPa$ (2) $15 kPa$ (3) $16.7 kPa$ (4) $2.5 kPa$ 42. $1 mole of a real gas is kept at high pressure of 100 bar at 300 K . If van der Waals constant b is 0.005 L / mol, what are the values of compressibility factor Z of the gas and % deviation of volume from ideality? Z %Deviation$ (1) $1.10 10$ (2) $1.2 20$ (3) $1.02 2$ (4) $1.2 15$ 43. $A vessel of volume 24.6 L contains 1.5 moles of H_{2} and 2.5 moles of N_{2} at 300 K . Calculate the partial pressure of N_{2} in the vessel.$ (1) $1.5 atm$ (2) $2.0 atm$ (3) $2.5 atm$ (4) $3.0 atm$ 44. $A beaker is heated from 27°C to 127°C, the percentage of air originally present in beaker that is expelled is:$ (1) $50%$ (2) $25%$ (3) $33%$ (4) $40%$ 45. $Which among the following statements is correct? A. There is a complete order of molecules in gases. B. There is a complete disorder of molecules in gases. C. Molecules are not always in random motion in gases. D. Molecules are fixed at respective position in gases.$ (1) $A$ (2) $B$ (3) $C$ (4) $D$ 46. $At T (K), a gaseous mixture of H_{2} and O_{2} containing 20 % (weight/weight) of H_{2} exerts a total pressure of 2 bar. What is the partial pressure of O_{2} (in bar)?$ (1) $0.2$ (2) $0.1$ (3) $0.4$ (4) $0.6$ 47. $Identify the correct statements from the following(A) The compressibility factor (Z) for an ideal gas is 1(B) Urananium isotopes (^{235} U) and (^{238} U) are separated by converting them into UF_{6} vapours(C) Decrease in temperature increases the kinetic energy of gas molecules$ (1) $A, B, C$ (2) $A, C only$ (3) $B, C only$ (4) $A, B only$ 48. $The rms velocity of hydrogen is 7 times the rms velocity of nitrogen. If T is the temperature of the gas, which of the following is true?$ (1) $T_{N_{2}} = T_{H_{2}}$ (2) $T_{H_{2}} = 7 T_{N_{2}}$ (3) $T_{N_{2}} = 2 T_{H_{2}}$ (4) $T_{N_{2}} = 7 T_{H_{2}}$ 49. $The van der Waals equation for one mole of a real gas can be written as (P + a/ V^{2}) (V - b) = RT. For the gases H_{2}, N H_{3}, and C H_{4}, the value of 'a' (bar L^{-2} m o l^{-2}) are 0.2453, 4.170 and 2.253 respectively. Which of the following can be inferred from the 'a' values ?$ (1) $N H_{3} can be most easily liquified$ (2) $H_{2} can be most easily liquified$ (3) $value of 'a' for C H_{4} is less than that of N H_{3} because it has the lower molar mass$ (4) $intermolecular forces are the strongest in hydrogen$ 50. $Density of carbon monoxide is maximum at$ (1) $2 atm and 600 K$ (2) $0.5 atm and 273 K$ (3) $6 atm and 1092 K$ (4) $4 atm and 500 K .$ 51. $What is the density of water vapour at boiling point of water?$ (1) $1 \times 10^{- 4} g cm^{- 3}$ (2) $6 \times 10^{- 4} g cm^{- 3}$ (3) $1 g cm^{- 3}$ (4) $4 \times 10^{- 4} g cm^{- 3}$ 52. $On the top of a mountain, water boils at$ (1) $high temperature$ (2) $same temperature$ (3) $high pressure$ (4) $low temperature$ 53. $The van der Waals' equation for 0.5 mol of a gas is$ (1) $(ρ + \frac{a}{4 V ^{2}}) (\frac{V - b}{2}) = RT$ (2) $(ρ + \frac{a}{4 V ^{2}}) (2 V - b) = RT$ (3) $(ρ + \frac{a}{4 V ^{2}}) (2 V - 4 b) = RT$ (4) $(ρ + \frac{a}{4 V ^{2}}) = \frac{2 RT}{2 ( V - b )}$ 54. $Consider the following table: Gas a/ (k Pa dm^{6} mo l^{- 1}) b/ (dm^{3} mo l^{- 1}) A 642.32 0.05196 B 155.21 0.04136 C 431.91 0.05196 D 155.21 0.4382 a and b are van der waals constants. The correct statement about the gases is :$ (1) $Gas C will occupy more volume than gas A; gas B will be more compressible than gas D$ (2) $Gas C will occupy lesser volume than gas A; gas B will be lesser compressible than gas D$ (3) $Gas C will occupy more volume than gas A; gas B will be lesser compressible than gas D$ (4) $Gas C will occupy lesser volume than gas A; gas B will be more compressible than gas D$ 55. $The following data is obtained for one mole of a gas The gas behaves as an ideal gas in the pressure range (in bar) P(bar) \frac{PV}{RT} 1121314 1.5 5 2.0$ (1) $1 to 3$ (2) $1 to 5$ (3) $4 to 5$ (4) $Above 5$ 56. $Certain volume of oxygen gas diffuses through a porous pot in 20 seconds. Same volume of another gas (X) diffuses in Y seconds as that of oxygen, then (X) and Y respectively are$ (1) $H_{2}, 5$ (2) $He, 10$ (3) $CO, 30$ (4) $CO_{2}, 40$ 57. $0.75 mole of solid X_{4} and 2 mole of O_{2} are heated to completely react in a closed rigid container to form only one gaseous compound (no reactant left behind). Find the ratio of final pressure at 327ºC to the initial pressure at 27ºC in the flask. Fill your answer as x, where ratio is x : 1.$ 58. $A 10 g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125 m^{3} at 6 bar and 27°C. The mass of helium in the mixture is _______g. (nearest integer) Given : R = 8.3 J K^{- 1} m o l^{- 1} (Atomic masses of H and He are lu and 4u, respectively)$ 59. $A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27°C. At 03:00 pm, when the temperature is 45°C, the pressure in the tank will be____________atm. [nearest integer]$ 60. $At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is____g m o l^{- 1} (nearest integer) Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H_{2}) gas is 2.0 g m o l^{- 1})$