Problem 132
Under identical conditions of pressure and temperature, \(4 \mathrm{~L}\) of gaseous mixture \(\left(\mathrm{H}_{2}\right.\) and \(\left.\mathrm{CH}_{4}\right)\) effuses through a hole in 5 min whereas \(4 \mathrm{~L}\) of a gas \(X\) of molecular mass 36 takes to \(10 \mathrm{~min}\) to effuse through the same hole. The mole ratio of \(\mathrm{H}_{2}: \mathrm{CH}_{4}\) in the mixture is : (a) \(1: 2\) (b) \(2: 1\) (c) \(2: 3\) (d) \(1: 1\)
Problem 133
A balloon weighing \(50 \mathrm{~kg}\) is filled with \(685 \mathrm{~kg}\) of helium at 1 atm pressure and \(25^{\circ} \mathrm{C}\). What will be its pay load if it displaced \(5108 \mathrm{~kg}\) of air? (a) \(4373 \mathrm{~kg}\) (b) \(4423 \mathrm{~kg}\) (c) \(5793 \mathrm{~kg}\) (d) none of these
Problem 138
Select the correct statement : (a) internal energy of a real gas at a given temperature increases as the volume increases (b) internal energy of an ideal gas at given temperature increase as the volume increases (c) internal energy of an ideal gas molecules is not a function of temperature (d) the internal energy of a real gas at a constant temperature is independent of change in volume
Problem 140
Consider a real gas placed in a container. If the intermolecular attractions are supposed to disappear suddenly which of the following would happen? (a) The pressure decreases (b) The pressure increases (c) The pressure remains unchanged (d) The gas collapses
Problem 143
If temperature and volume are same, the pressure of a gas obeying Vander Waals equation is: (a) Smaller than that of an ideal gas (b) Larger than that of an ideal gas (c) Same as that of an ideal gas (d) None of these
Problem 144
1 mole of each of \(X_{1}, X_{2}, X_{3}\) with vander Waals constants \(a\) (in atm \(\mathrm{L}^{3} \mathrm{~mol}^{-2}\) ) \(1.0,3.8,2.1\) respectively is kept separately in three different vessels of equal volume at identical temperature. Their pressures are observed to \(P_{1}, P_{2}\), and \(P_{3}\) respectively. On the basis of this data alone, select the correct option (neglect the effect of ' \(b\) '): (a) \(P_{1}
Problem 147
Which of the following can be most readily liquefied? (Given: value of ' \(a\) ' for \(\mathrm{NH}_{3}=4.17, \mathrm{CO}_{2}=3.59, \mathrm{SO}_{2}=6.71, \mathrm{Cl}_{2}=6.49\) ) (a) \(\mathrm{NH}_{3}\) (b) \(\mathrm{Cl}_{2}\) (c) \(\mathrm{SO}_{2}\) (d) \(\mathrm{CO}_{2}\)
Problem 149
Under which of the following sets of conditions is a real gas expected to deviate from ideal behaviour? (I) High pressure, small volume (II) High temperature, low pressure (III) Low temperature, high pressure (a) only I (b) only II (c) only III (d) I and III both
Problem 151
At low pressure, the van der Waals equation become : (a) \(P V_{m}=R T\) (b) \(P\left(V_{m}-b\right)=R T\) (c) \(\left(P+\frac{a}{V_{m}^{2}}\right) V_{m}=R T\) (d) \(P=\frac{R T}{V_{m}}+\frac{a}{V_{m}^{2}}\)
Problem 154
At low pressures, van der Waals' equation is written as \(\left(P+\frac{a}{V^{2}}\right) V=R T .\) The compressibility factor is then equal to: (a) \(\left(1-\frac{a}{R T V}\right)\) (b) \(\left(1-\frac{R T V}{a}\right)\) (c) \(\left(1+\frac{a}{R T V}\right)\) (d) \(\left(1+\frac{R T V}{a}\right)\)
