States of Matter PYQs Set 7 (PDF)

Set 7 of 8 · Questions 181-210 of 228

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Mere Teacher · Previous Year Questions JEE Main Chemistry · States of Matter · Set 7 (Q181-210)
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181. $The volume of a gas increases by a factor of 2 while the pressure decreases by a factor of 3. Given that the number of moles is unaffected, the factor by which the temperature changes is :$ (1) $\frac{3}{2}$ (2) $3 \times 2$ (3) $\frac{2}{3}$ (4) $\frac{1}{2} \times 3$ 182. $When a gas is compressed at constant temperature :$ (1) $the speeds of the molecules increase$ (2) $the collisions between the molecules increase$ (3) $the speeds of the molecules decrease$ (4) $the collisions between the molecules decrease$ 183. $Two glass bulbs A and B at same temperature are connected by a very small tube having a stop-corck. Bulb A has a volume of 100 c m^{3} and contained the gas while bulb B was empty. On opening the stop-corck, the pressure fell down to 20%. The volume of the bulb B is :$ (1) $100 c m^{3}$ (2) $200 c m^{3}$ (3) $250 c m^{3}$ (4) $400 c m^{3}$ 184. $When a sample of gas kept at 20ºC and 4.0 atm is heated to 40ºC at constant volume$ (1) $average speed of the gas molecules will decrease.$ (2) $number of collisions between the gas molecules per second will remain the same.$ (3) $average kinetic energy of the gas will increase.$ (4) $pressure of the gas will become 8 atm.$ 185. $Among the gases a, b, c, d, e and f, the gases that show only positive deviation from ideal behavior at all pressures in the graph are$ (1) $b, c only$ (2) $b, c, a only$ (3) $d, e only$ (4) $d, e, f only$ 186. $Which one of the following is the correct PV vs P plot at constant temperature for an ideal gas? (P and V stand for pressure and volume of the gas respectively)$ (1) (2) (3) (4) 187. $Potassium hydroxide solutions are used to absorb C O_{2} . How many litres of C O_{2} at 1.00 atm and 22ºC would be absorbed by an aqueous solution containing 15.0 g of KOH ? (Take R = \frac{1}{12} λ atm / K/mole) 2KOH + C O_{2} \to K_{2} C O_{3} + H_{2} O$ (1) $3.24 L$ (2) $1.62 L$ (3) $6.48 L$ (4) $0.324 L$ 188. $At what temperature will the total KE of 0.3 mol of He be the same as the total KE of 0.40 mol of Ar at 400 K ?$ (1) $533 K$ (2) $400 K$ (3) $346 K$ (4) $300 K$ 189. $The unit of the van der Waals gas equation parameter ‘a’ in (P + \frac{an}{V ^{2}}) (V - nb) = n R T is :$ (1) $kg m s^{- 2}$ (2) $d m^{3} m o l^{- 1}$ (3) $kg m s^{- 1}$ (4) $atm d m^{6} m o l^{- 2}$ 190. $In the Vander waal equation of state for a non ideal gas the term that accounts for intermolecular force is$ (1) $(V - b)$ (2) $RT$ (3) $(P + \frac{a}{ν ^{2}})$ (4) $1/RT$ 191. $Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas ?$ (1) (2) (3) (4) 192. $Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chlroide at same temperature and pressure is : (Atomic wt. of Cl 35.5 u)$ (1) $1.46$ (2) $1.64$ (3) $0.46$ (4) $0.64$ 193. $One mole of a gas is defined as -$ (1) $The number of molecules in one litre of gas$ (2) $The number of molecules in one formula weight of gas$ (3) $The number of molecules contained in 12 grams of (12 C) isotope$ (4) $The number of molecules in 22.4 litres of a gas at S.T.P.$ 194. (1) $A = C_{MPS}, B = C_{Average}, C =_{RMS}$ (2) $A = C_{Average,} B = C_{MPS}, C = C_{RMS}$ (3) $A = C_{RMS}, B = C_{Average}, C = C_{MPS}$ (4) $A = C_{MPS}, B = C_{RMS}, C = C_{Average}$ 195. $Under high pressure conitions, van der waal's equation for a real gas reduces to :$ (1) $PV = RT$ (2) $PV + a/V = RT$ (3) $PV - Pb = RT$ (4) $(P + a/ V^{2}) (V - b) = RT$ 196. $Which of the following is not an assumption of the kinetic theory of gases ?$ (1) $Gas particles have negligible volume$ (2) $A gas consists of many identical particels which are in continual motion$ (3) $At high pressure, gas particles are difficult to compress$ (4) $Collisions of gas particles are perfectly elastic$ 197. $A gas shows positive joule-thomson effect below :$ (1) $Critical temperature$ (2) $Boyle temperature$ (3) $Transition temperature$ (4) $Inversion temperature$ 198. $Which of the following does not shows explicitly the relationship between Boyle's law and Charles' law ?$ (1) $\frac{P _{1}}{P _{2}} = \frac{T _{1}}{T _{2}}$ (2) $PV = K$ (3) $\frac{P _{2}}{P _{1}} = \frac{V _{1}}{V _{2}}$ (4) $\frac{V _{2}}{V _{1}} = \frac{P _{1}}{P _{2}} \times \frac{T _{2}}{T _{1}}$ 199. $The Ne atom has 10 times the mass of H_{2} . Which of the following statements are true?$ (1) $Ten moles of H_{2} would have the same volume as 1 mole of Ne.$ (2) $One mole of Ne exerts the same pressure as one mole of H_{2} at STP$ (3) $A H_{2} molecule travels 10 times faster than an Ne atom.$ (4) $At STP, one litre of Ne has 10 times the density of 1 litre of H_{2} .$ 200. $A mixture of gases O_{2}, H_{2} and CO are taken in a closed vessel containing charcoal. The graph that represents the correct behaviour of pressure with time is:$ (1) (2) (3) (4) 201. $A flask of gaseous C C I_{4} was weighed at measured temperature and pressure. The flask was then flushed and filled with O_{2} at same temperature and pressure. The weight of the C C I_{4} vapour will be :$ (1) $five times as heavy as O_{2}$ (2) $one fifth heavy as compared to O_{2}$ (3) $same as that of O_{2}$ (4) $twice as heavy as the O_{2}$ 202. $The kinetic energy of one gram mole of any gas depends on :$ (1) $absolute temperature of the gas.$ (2) $nature of the gas molecules.$ (3) $pressure of the gas$ (4) $volume of the gas$ 203. $The dipole-dipole interaction energy between stationary polar molecules and rotating polar molecules, respectively is proportional to [r is the distance between the polar molecules]$ (1) $r^{3}; \frac{1}{r ^{2}}$ (2) $\frac{1}{r ^{3}}; \frac{1}{r ^{6}}$ (3) $\frac{1}{r ^{2}}; r^{2}$ (4) $\frac{1}{r ^{2}}; \frac{1}{r ^{4}}$ 204. $The initial volume of a gas cylinder is 750.0 mL. If the pressure of gas inside the cylinder changes from 840.0 mm Hg to 360.0 mm Hg, the final volume the gas will be :$ (1) $1.750 L$ (2) $3.60 L$ (3) $4.032 L$ (4) $7.50 L$ 205. $In the van der Waals equation of state for a real gas, the term that accounts for intermolecular attraction is$ (1) $(P + a/ V^{2})$ (2) $(V - b)$ (3) $RT$ (4) $1/(V - b).$ 206. $Equal masses of ethane and hydrogen gas are present in a container at 25ºC. The fraction of the total pressure exerted by ethane gas is :$ (1) $1/2$ (2) $1/16$ (3) $15/16$ (4) $1/8$ 207. $What is the total pressure inside a 2L vessel containing 1g of He, 14g of CO and 10g of NO at 27°C ?$ (1) $0.25 atm$ (2) $13.2 atm$ (3) $1.24 atm$ (4) $21.6 atm$ 208. $Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s from the following is_______. A. T_{4} > T_{3} > T_{2} > T_{1} B. The black body consists of particles performing simple harmonic motion. C. The peak of the spectrum shifts to shorter wavelength as temperature increases. D. \frac{T _{1}}{v _{1}} = \frac{T _{2}}{v _{2}} = \frac{T _{3}}{v _{3}} \neq = constant E. The given spectrum could be explained using quantisation of energy.$ 209. $A cylinder containing an ideal gas (0.1 mol of 1.0 d m^{3}) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers S_{1} and S_{2} (as shown in the Figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be(Given, K_{f} (water) = 2.0 Kkg mol^{- 1}, R = 0.08 dm^{3} atm K^{- 1} mo l^{- 1}$ 210. $100 g of an ideal gas is kept in a cylinder of 416 L volume at 27°C under 1.5 bar pressure. The molar mass of the gas is ______ g m o l^{- 1} . (Nearest integer) (Given : R = 0.083 L bar K^{- 1} m o l^{- 1})$