States of Matter PYQs Set 6 (PDF)

Set 6 of 8 · Questions 151-180 of 228

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Mere Teacher · Previous Year Questions JEE Main Chemistry · States of Matter · Set 6 (Q151-180)
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151. $1 mol of a gaseous aliphahatic compound C_{n} H_{3 n} O_{m} is completely burnt in an excess of oxygen. The contraction in volume is (assume water get condensed out)$ (1) $(1 + \frac{1}{2} n - \frac{3}{4} m)$ (2) $(1 + \frac{3}{4} n - \frac{1}{4} m)$ (3) $(1 - \frac{1}{2} n - \frac{3}{4} m)$ (4) $(1 + \frac{3}{4} n - \frac{1}{2} m)$ 152. $The variation of compressibility factor (Z) with pressure (p in bar) for some gases are shown in the figure below. Identify the gases (A), (B) and (C) respectively$ (1) $real gas, N_{2}, CO_{2}$ (2) $ideal gas, H_{2}, CO_{2}$ (3) $ideal gas, CO_{2}, H_{2}$ (4) $real gas, H_{2}, CO_{2}$ 153. $If the partition is removed the average molar mass of the sample will be (Assume ideal behaviour).$ (1) $\frac{5}{3} g/mol$ (2) $\frac{10}{3} g/mol$ (3) $\frac{3}{2} g/mol$ (4) $3 g/mol$ 154. $Which one of the following graphs is not correct for ideal gas? d Density, P Pressure, T Temperature$ (1) $II$ (2) $III$ (3) $I$ (4) $IV$ 155. $From the following plots, find the correct option$ (1) $T_{1} > T_{2} : P_{1} > P_{2}$ (2) $T_{1} > T_{2} : P_{2} > P_{1}$ (3) $T_{2} > T_{1} : P_{2} > P_{1}$ (4) $T_{2} > T_{1} : P_{1} > P_{2}$ 156. $Figure displays the plot of the compression factor Z verses p for a few gases Which of the following statements is/are correct for a van-der waals gas :$ (1) $The plot I is applicable provided the vander waals constant a is negligible.$ (2) $The plot II is applicable provided the vander waals constant b is negligible.$ (3) $The plot III is applicable provided the vander waals constants a and b are negligible.$ (4) $The plot IV is applicable provided the temperature of the gas is much higher than its critical temperature.$ 157. $In a 1 L vessel, 10 moles of methane and 50 moles of O_{2} are present. The number of moles of O_{2}, water and CO_{2} present in the vessel are respectively after the vessel was heated to burn methane completely.$ (1) $30, 20, 20$ (2) $30, 20, 10$ (3) $20, 30, 10$ (4) $20, 10, 30$ 158. $A plot of volume of the gas versus T (K) is shown below. Which of the options is correct for the plot?$ (1) $p_{1} < p_{2} < p_{3}$ (2) $p_{3} < p_{2} < p_{1}$ (3) $p_{1} = p_{2} \neq = p_{3}$ (4) $p_{1} = p_{2} = p_{3} = 0 at 273 K$ 159. $10 ml of gaseous hydrcarbon is exploded with 100 ml O_{2} . The residual gas on cooling is found to measure 95 ml of which 20 ml is abosrbed by KOH and the reminder by alkaline pyrogallol. The formula of the hydrocarbon is :$ (1) $C H_{4}$ (2) $C_{2} H_{6}$ (3) $C_{2} H_{4}$ (4) $C_{2} H_{2}$ 160. $An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g m L^{- 1} and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K. The molar mass of the gas in g m o l^{- 1} is : (Given : R = 0.082 L atm K^{- 1} m o l^{- 1})$ (1) $35$ (2) $50$ (3) $75$ (4) $125$ 161. $Points I, II and III in the following plot respectively correspond to (V_{mp} : most probable velocity).$ (1) $VmpofN2 (300 K); Vmp of O_{2} (400 K); Vmp of H_{2} (300 K)$ (2) $VmpofO2 (400 K); Vmp of N_{2} (300 K); Vmp of H_{2} (300 K)$ (3) $VmpofN2 (300 K); Vmp of H_{2} (300 K); Vmp of O_{2} (400 K)$ (4) $VmpofH2 (300 K); Vmp of N_{2} (300 K); Vmp of O_{2} (400 K)$ 162. $Out of the two compounds below the vapour pressure of (B) at a particular temperature is$ (1) $higher than that of (A)$ (2) $lower than that of (A)$ (3) $higher or lower than (A), depending on the size of the vessel$ (4) $same as that of (A)$ 163. $The given figure shows the Maxwell distribution of molecular speeds of a gas at three different temperatures T_{1}, T_{2} and T_{3} . The correct order of temperature is$ (1) $T_{1} > T_{2} > T_{3}$ (2) $T_{1} > T_{3} > T_{2}$ (3) $T_{3} > T_{2} > T_{1}$ (4) $T_{2} > T_{3} > T_{1}$ 164. $The compressibility factor for a real gas at high pressure is :$ (1) $1 + RT/pb$ (2) $1$ (3) $1 + pb /RT$ (4) $1 -pb/RT$ 165. $Initially, the root mean square (rms) velocity of N2 molecules at certain temperature is u. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new rms velocity will be :$ (1) $2 u$ (2) $14 u$ (3) $u / 2$ (4) $4 u$ 166. $What volume of hydrogen gas, at 273 K and 1 atm pressure will be consumed in obtaining 21.6 g of elemental boron (atomic mass = 10.8) from the reduction of boron trichloride by hydrogen?$ (1) $89.6 L$ (2) $67.2 L$ (3) $44.8 L$ (4) $22.4 L$ 167. $Plot of Maxwell's distribution of velocities is given : Which of the following is correct about this plot?$ (1) $f_{1} > f_{2}$ (2) $T_{1} < T_{2}$ (3) $V_{1} < V_{2}$ (4) $T_{1} > T_{2}$ 168. $Match the following. List-I: (A) Viscosity (B) Ideal gas behaviour (C) Liquefaction of gases (D) Charles law. List-II: P. Critical temperature Q. Isobar R. Compressibility factor S. kg s^{- 2} T. kg m^{- 1} s^{- 1} . The correct answer is (A, B, C, D)$ (1) $S R P Q$ (2) $T R P Q$ (3) $T R Q P$ (4) $S R Q P$ 169. $An ideal gas expands by performing 200 J of work, during this internal energy increases by 432 J . What is enthalpy change?$ (1) $200 J$ (2) $232 J$ (3) $432 J$ (4) $632 J$ 170. $An open vessel at 27° C is heated until two-fifth of the air in it has been expelled. Assuming that the volume of the vessel remains constant, find the temperature to which the vessel has been heated?$ (1) $500° C$ (2) $500 K$ (3) $750° C$ (4) $750 K$ 171. $At the sea level, the dry air mass percentage composition is given as nitrogen gas: 70.0, oxygen gas: 27.0 and argon gas: 3.0. If total pressure is 1.15 atm, then calculate the ratio of following respectively: (i) partial pressure of nitrogen gas to partial pressure of oxygen gas (ii) partial pressure of oxygen gas to partial pressure of argon gas (Given: Molar mass of N, O and Ar are 14, 16 and 40 g mol^{- 1} respectively.)$ (1) $5.46, 17.8$ (2) $2.96, 11.2$ (3) $4.26, 19.3$ (4) $2.59, 11.85$ 172. $The statement that is not correct is$ (1) $compressibility factor measures the deviation of real gas from ideal behaviour$ (2) $van der Waals constant ' a' measures extent of intermolecular attractive forces for real gases$ (3) $critical temperature is the lowest temperature at which liquefaction of a gas first occurs$ (4) $Boyle point depends on the nature of real gas.$ 173. $In an experiment, it was found that for a gas at constant temperature, PV = C. The value of C depends on$ (1) $atmospheric pressure$ (2) $quantity of gas$ (3) $molecular weight of gas$ (4) $volume of chamber$ 174. $The variation of vapour pressure (b) as a function of temperature (a) is studied for C_{2} H_{5} OC_{2} H_{5}, CCl_{4} and H_{2} O at 760 mmHg and is shown in the figure below. The boiling temperatures of C_{2} H_{5} OC_{2} H_{5}, CCl_{4} and H_{2} O are 308,350 and 373 K respectively. Curves A, B, C respectively correspond to$ (1) $H_{2} O, C_{2} H_{5} OC_{2} H_{5}, CCl_{4}$ (2) $C_{2} H_{5} OC_{2} H_{5}, CCl_{4}, H_{2} O$ (3) $CCl_{4}, C_{2} H_{5} OC_{2} H_{5}, H_{2} O$ (4) $CCl_{4}, H_{2} O, C_{2} H_{5} OC_{2} H_{5}$ 175. $If two moles of an ideal gas at 546 K occupies a volume of 44.8 litres, the pressure must be -$ (1) $2 atm$ (2) $3 atm$ (3) $4 atm$ (4) $1 atm$ 176. $A home owner uses 4.00 \times 1 0^{3} m^{3} of methane (_{4}^{C H}) gas, (assume (_{4}^{C H}) is an ideal gas) in a year to heat his home. Under the pressure of 1.0 atm and 300K, mass of gas used is x \times 1 0^{5} g . The value of x is (Nearest integer) (Given R = 0.083 Latm K^{- 1} m o l^{- 1})$ 177. $Three bulbs are filled with CH_{4}, CO_{2} and Ne as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout, the pressure of the system is found to be atm. (Nearest integer)$ 178. $An empty LPG cylinder weighs 14.8 kg. When full, it weighs 29.0 kg and shows a pressure of 3.47 atm. Inthe course of use at ambient temperature, the mass of the cylinder is reduced to 23.0 kg. The final pressureinside of the cylinder is ____ atm. (Nearest integer) (Assume LPG of be an ideal gas)$ 179. $A mixture of hydrogen and oxygen contains 40% hydrogen by mass when the pressure is 2.2 bar. The partial pressure of hydrogen is bar. (Nearest Integer)$ 180. $Gaseous decomposition of A follows I^{s t} order kinetics. Pure A(g) is taken in a sealed flask where decomposition occurs as A(g) \to 2B(g) + C (g) After 10 sec., a leak was developed in the flask. On analysis of the effused gaseous mixture (Obeying Graham's law) coming out initially, moles of B(g) were found to be double of A. What is rate constant in se c^{-1} . Given : Molecular weight of A = 16, Molecular weight of B = 4, Molecular weight of C = 8. [λn 3 = 1.1; λn 2 = 0.7]$