Problem 87
A \(2.24 \mathrm{~L}\) cylinder of oxygen at NTP is found to develop a leakage. When the leakage was plugged the pressure dropped to \(570 \mathrm{~mm}\) of \(\mathrm{Hg}\). The number of moles of gas that escaped will be: (a) \(0.050\) (b) \(0.025\) (c) \(0.075\) (d) \(0.01\)
Problem 89
A balloon having weight \(50 \mathrm{~kg}\) is filled with \(685.2 \mathrm{~kg}\) of helium gas at \(760 \mathrm{~mm}\) pressure and \(25^{\circ} \mathrm{C}\). What will be its pay load if it displaces \(5108 \mathrm{~kg}\) of air? (a) \(4372.8 \mathrm{~kg}\) (b) \(4392.6 \mathrm{~kg}\) (c) \(4444.4 \mathrm{~kg}\) (d) \(3482.9 \mathrm{~kg}\)
Problem 90
For non-zero value of force of attraction between gas molecules, gas equation will be: (a) \(\mathrm{PV}=\mathrm{nRT}-\frac{\mathrm{n}^{2}}{\mathrm{~V}} \mathrm{a}\) (b) \(\mathrm{PV}=\mathrm{nRT}+\mathrm{nbP}\) (c) \(\mathrm{P}=\frac{\mathrm{nRT}}{\mathrm{V}-\mathrm{b}}\) (d) \(\mathrm{PV}=\mathrm{nRT}\)
Problem 91
Four rubber tubes are respectively filled with \(\mathrm{H}_{2}, \mathrm{He}\), \(\mathrm{N}_{2}\) and \(\mathrm{O}_{2} .\) Which tube will be reinflated first? (a) \(\mathrm{H}_{2}\) filled tube (b) \(\mathrm{N}_{2}\) filled tube (c) He filled tube (d) \(\mathrm{O}_{2}\) filled tube
Problem 92
A gas has the van der Waals constants, \(\mathrm{a}=1.49 \mathrm{~L}^{2}\) \(\mathrm{atm} \mathrm{mol}^{-2}\) and \(\mathrm{b}=0.04 \mathrm{~L} \mathrm{~mol}^{-1} .\) Its Boyle's temperature is nearly: (a) \(50^{\circ} \mathrm{C}\) (b) \(354^{\circ} \mathrm{C}\) (c) \(454 \mathrm{~K}\) (d) \(408 \mathrm{~K}\)
Problem 93
A monoatomic gas ' \(\mathrm{A}\) ' and a diatomic gas ' \(\mathrm{B}\) ', both initially at the same temperature and pressure are compressed adiabatically from a volume \(\mathrm{V}\) to \(\mathrm{V} / 2\). The gas which has higher temperature is: (a) B (b) A (c) Both have same temperature (d) Can not be said
Problem 94
One litre of gas \(\mathrm{A}\) at 2 atm pressure at \(27^{\circ} \mathrm{C}\) and two litres of gas \(\mathrm{B}\) at 3 atm pressure at \(127^{\circ} \mathrm{C}\) are mixed in a 4 litre vessel. The temperature of the mixture is maintained at \(327^{\circ} \mathrm{C}\). What is the total pressure of the gaseous mixture? (a) \(3.93 \mathrm{~atm}\) (b) \(3.25 \mathrm{~atm}\) (c) \(4.25 \mathrm{~atm}\) (d) \(6.25 \mathrm{~atm}\)
Problem 96
The maximum number of molecules is present in: (a) \(15 \mathrm{~L}\) of \(\mathrm{H}_{2}\) gas at STP (b) \(5 \mathrm{~L}\) of \(\mathrm{N}_{2}\) gas at \(\mathrm{STP}\) (c) \(0.5 \mathrm{~g}\) of \(\mathrm{H}_{2}\) gas (d) \(10 \mathrm{~g}\) of \(\mathrm{O}_{2}\) gas
Problem 97
The root mean square velocity of one mole of a monoatomic gas having molar mass \(\mathrm{M}\) is \(\mathrm{u}_{\mathrm{rms}}\) - The relation between the average kinetic energy (E) of the gas and \(\mathrm{u}_{\mathrm{rms}}\) is: (a) \(\mathrm{u}_{\mathrm{rms}}=\sqrt{(3 \mathrm{E} / 2 \mathrm{M})}\) (b) \(\mathrm{u}_{\mathrm{mas}}=\sqrt{(2 \mathrm{E} / 3 \mathrm{M})}\) (c) \(\mathrm{u}_{\mathrm{rms}}=\sqrt{(2 \mathrm{E} / \mathrm{M})}\) (d) \(\mathrm{u}_{\mathrm{mas}}=\sqrt{(\mathrm{E} / 3 \mathrm{M})}\)
Problem 99
At a certain temperature for which \(\mathrm{RT}=25 \mathrm{~L}\) atm. \(\mathrm{mol}^{-1}\), the density of a gas, in \(\mathrm{g} \mathrm{L}^{-1}\), is \(\mathrm{d}=2.00 \mathrm{P}+\) \(0.020 \mathrm{P}^{2}\), where \(\mathrm{P}\) is the pressure in atmosphere. The molecular weight of the gas in \(\mathrm{g}\) mol- 1 is: (a) 60 (b) 75 (c) 50 (d) 35
