Problem 41
A closed container contains equal number of moles of two gases \(X\) and \(Y\) at a total pressure of \(710 \mathrm{~mm}\) of \(\mathrm{Hg}\). If gas \(X\) is removed from the mixture, the pressure will (a) become double (b) become half (c) remain same (d) become one-fourth.
Problem 42
\(34.05 \mathrm{~mL}\) of phosphorus vapours weigh \(0.0625 \mathrm{~g}\) at \(546^{\circ} \mathrm{C}\) and \(0.1\) bar pressure. What is the molar mass of phosphorus? (a) \(124.77 \mathrm{~g} \mathrm{~mol}^{-1}\) (b) \(1247.74 \mathrm{~g} \mathrm{~mol}^{-1}\) (c) \(12.47 \mathrm{~g} \mathrm{~mol}^{-1}\) (d) \(30 \mathrm{~g} \mathrm{~mol}^{-1}\)
Problem 43
At 1 atmospheric pressure and \(0^{\circ} \mathrm{C}\), certain mass of a gas measures \(0.4\) L. Keeping the pressure constant, if the temperature is increased to \(273^{\circ} \mathrm{C}\), what will be its volume? (a) \(0.8 \mathrm{~L}\) (b) \(22.4 \mathrm{~L}\) (c) \(54.6 \mathrm{~L}\) (d) \(0.4 \mathrm{~L}\)
Problem 48
In a flask of volume \(V\) litres, \(0.2\) mol of axygen, \(0.4\) mol of nitrogen, \(0.1\) mol of ammonia and \(0.3 \mathrm{~mol}\) of helium are endosed at \(27^{\circ} \mathrm{C}\). If the total pressure exerted by these non-reacting gases is one atmosphere, the partial pressure exerted by nitrogen is (a) \(0.1\) atmosphere (d) \(0.4\) atmosphere (c) \(0.3\) atmosphere
Problem 52
The pressure of a mixtures of equal weights of two gases \(X\) and \(Y\) with molecular weight 4 and 40 respectively is \(1.1\) atm. The partial pressure of the gas \(X\) in the mixture is (a) 1 atm (b) \(0.1\) atm (c) \(0.15 \mathrm{~atm}\) (d) \(0.5 \mathrm{~atm}\)
Problem 53
If the ratio of masses of \(\mathrm{SO}_{3}\) and \(\mathrm{O}_{2}\) gases confined in a vessel is \(1: 1\), then the ratio of their partial pressures would be (a) \(5: 2\) (b) \(2: 5\) (c) \(2: 1\) (d) \(1: 2\)
Problem 54
A container of \(1 \mathrm{~L}\) capacity contains a mixture of \(4 \mathrm{~g}\) of \(\mathrm{O}_{2}\) and \(2 \mathrm{~g}\) of \(\mathrm{H}_{2}\) at \(0^{\circ} \mathrm{C}\). What will be the total pressure of the mixture? (a) \(50.42 \mathrm{~atm}\) (b) \(25.21 \mathrm{~atm}\) (c) \(15.2 \mathrm{~atm}\) (d) \(12.5 \mathrm{~atm}\)
Problem 56
Equal masses of helium and oxygen are mixed in a container at \(25^{\circ} \mathrm{C}\). The fraction of the total pressure exerted by oxygen in the mixture of gases is (a) \(1 / 3\) (b) \(2 / 3\) (c) \(1 / 9\) (d) \(4 / 9\)
Problem 57
A bubble of air is underwater at temperature \(15^{\circ} \mathrm{C}\) and pressure \(1.5\) bar. If the bubble rises to the surface where the temperature is \(25^{\circ} \mathrm{C}\) and the pressure is \(1.0\) bar, what will happen to the volume of the bubble? (a) Volume will become greater by a factor of \(1.6\), (b) Volume will become greater by a factor of \(1.1 .\) (c) Volume will become smaller by a factor of \(0.70\) (d) Volume will become greater by a factor of \(2.5\).
Problem 59
At any particular time, different particles in the gas (a) have same speed and kinetic energy (b) have same speed but different kinetic energies (c) have different speeds but same kinetic energy (d) have different speeds and hence different kinetic energies.
