Problem 100
At \(100^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\), if the density of liquid water is \(1.0 \mathrm{~g} \mathrm{~cm}^{-3}\) and that of water vapour is \(0.0006 \mathrm{~g} \mathrm{~cm}^{-3}\), then the volume occupied by water molecules in 1 litre of steam at that temperature: (a) \(6 \mathrm{~cm}^{3}\) (b) \(60 \mathrm{~cm}^{3}\) (c) \(0.6 \mathrm{~cm}^{3}\) (d) \(0.06 \mathrm{~cm}^{3}\)
Problem 101
The compressibility factor of a gas is less than unity at STP. Therefore: (a) \(\mathrm{V}_{\mathrm{m}}>22.4 \mathrm{~L}\) (b) \(\mathrm{V}_{\mathrm{m}}<22.4 \mathrm{~L}\) (c) \(\mathrm{V}_{\mathrm{m}}=22.4 \mathrm{~L}\) (d) \(\mathrm{V}_{\mathrm{m}}=44.8 \mathrm{~L}\)
Problem 102
A closed vessel contains equal number of molecules of \(\mathrm{O}_{2}\) and \(\mathrm{H}_{2}\). Consider the following statements: 1\. The average speed of hydrogen molecules will be greater. 2\. Weight of hydrogen is \(1 / 8\) th of the weight of oxygen. 3\. Hydrogen molecules strike the walls more often. 4\. The two gases have different average energies. The statements are wrong in: (a) 2 and 4 (b) 2 and 3 (c) 1 and 4 (d) 1 and 3
Problem 103
The rms velocity of hydrogen is \(\sqrt{7}\) times the rms velocity of nitrogen. If \(\mathrm{T}\) is the temperature of the gas: (a) \(\mathrm{T}\left(\mathrm{H}_{2}\right)=\mathrm{T}\left(\mathrm{N}_{2}\right)\) (b) \(\mathrm{T}\left(\mathrm{H}_{2}\right)>\mathrm{T}\left(\mathrm{N}_{2}\right)\) (c) \(\mathrm{T}\left(\mathrm{H}_{2}\right)<\mathrm{T}\left(\mathrm{N}_{2}\right)\) (d) \(\mathrm{T}\left(\mathrm{H}_{2}\right)=\sqrt{7 \mathrm{~T}\left(\mathrm{~N}_{2}\right)}\)
Problem 104
Which of the following statement (s) is (are) correct? (1) A plot of log KP versus \(1 / \mathrm{T}\) is linear (2) A plot of log (X) versus time is linear for a first order reaction \(\mathrm{X}\) \(\rightarrow \mathrm{P}\) (3) A plot of log P versus \(1 / \mathrm{T}\) is linear at constant volume (4) A plot of P versus \(1 / \mathrm{V}\) is linear at constant temperature. (a) 1,2 (b) 2,4 (c) 2,3 (d) 1,4
Problem 106
Equal weights of ethane and hydrogen are mixed in an empty container at \(25^{\circ} \mathrm{C}\). The fraction to total pressure exerted by hydrogen is: (a) \(1: 2\) (b) \(1: 1\) (c) \(1: 16\) (d) \(15: 16\)
Problem 107
The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is: (a) \(1: 1.086\) (b) \(2: 1.086\) (c) \(1.086: 1\) (d) \(1.086: 2\)
Problem 108
Equal weights of methane and oxygen are mixed in an empty container at \(25^{\circ} \mathrm{C}\). The fraction of the total pressure exerted by oxygen is: (a) \(1 / 2\) (b) \(2 / 3\) (c) \(1 / 3 \times 273 / 298\) (d) \(1 / 3\)
Problem 110
The partial pressure of oxygen in a flask containin \(16 \mathrm{~g} \mathrm{O}_{2}\) and \(32 \mathrm{~g} \mathrm{SO}_{2}\) is: (a) \(1 / 16\) of total pressure (b) \(1 / 2\) of total pressure (c) \(2 / 3\) of total pressure (d) None of the above
Problem 113
The most probable speeds of the molecules of gas \(\mathrm{A}\) at \(\mathrm{T} \mathrm{K}\) and gas \(\mathrm{B}\) at \(\mathrm{T}_{2} \mathrm{~K}\) are in the ratio \(0.715: 1\). The same ratio for gas \(\mathrm{A}\) at \(\mathrm{T}_{2} \mathrm{~K}\) and gas \(\mathrm{B} \mathrm{T}_{1} \mathrm{~K}\) is \(0.954\). Find the ratio of molar masses \(\mathrm{M}_{\mathrm{A}}: \mathrm{M}_{\mathrm{B}}\) (a) \(1.965\) (b) \(1.0666\) (c) \(1.987\) (d) \(1.466\)
