ABCDEFGH is a hollow cube made of an insulator (figure). Face ABCD has a positive charge on it. Inside the cube, we have ionised hydrogen. The usual kinetic theory expression for pressure:
a. | will be valid. |
b. | will not be valid, since the ions would experience forces other than due to collisions with the walls. |
c. | will not be valid, since collisions with walls would not be elastic. |
d. | will not be valid because isotropy is lost. |
Choose the correct alternatives:
1. only (a)
2. (b, c)
3. (b, d)
4. (c, d)
An inflated rubber balloon contains one mole of an ideal gas, has a pressure \(P,\) volume \(V\) and temperature \(T.\) If the temperature rises to \(1.1T,\) and the volume is increased to \(1.05V,\) the final pressure will be:
1. | \(1.1P\) |
2. | \(P\) |
3. | less than \(P\) |
4. | between \(P\) and \(1.1P\) |
A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mole of oxygen (both considered ideal). Let denotes the fraction of molecules with a speed between v and (v+dv) with (v)dv similarly for oxygen. Then,
1. (v) = f(v) obeys the Maxwell's distribution law.
2. will obey Maxwell’s distribution law separately.
3. neither nor will obey Maxwell’s distribution law.
4. and will be the same.
1 mole of gas is contained in a box of volume V = 1.00 at T = 300 K. The gas is heated to a temperature of T = 3000 K and the gas gets converted to a gas of hydrogen atoms. The final pressure would be: (considering all gases to be ideal)
1. same as the pressure initially
2. 2 times the pressure initially
3. 10 times the pressure initially
4. 20 times the pressure initially
The volume versus temperature graphs for a given mass of an ideal gas are shown in the figure at two different values of constant pressure. What can be inferred about relation between \(\mathrm{P_1}\) and \(\mathrm{P_2}\)?
1. \(\mathrm{P_1}>\mathrm{P_2} \)
2. \(\mathrm{P_1}=\mathrm{P_2} \)
3. \(\mathrm{P_1}<\mathrm{P_2} \)
4. data is insufficient
A cylinder containing an ideal gas is in a vertical position and has a piston of mass M that is able to move up or down without friction (figure). If the temperature is increased,
1. both P and V of the gas will change.
2. only P will increase according to Charles' law.
3. V will change but not P.
4. P will change but not V.
Boyle's law is applicable for an:
1. | adiabatic process |
2. | isothermal process |
3. | isobaric process |
4. | isochoric process |
1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K (figure). One face of the cube (EFGH) is made up of a material which totally absorbs any gas molecule incident on it. At any given time:
1. | the pressure on EFGH would be zero. |
2. | the pressure on all the faces will be equal. |
3. | the pressure on EFGH would be double the pressure on ABCD. |
4. | the pressure on EFGH would be half that on ABCD. |
A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of in the vertical direction. The pressure of the gas inside the vessel as observed by us on the ground:
1. | remains the same because \(500\) \(\mathrm{ms^{-1}}\) is very much smaller than \(v_{rms}\) of the gas. |
2. | remains the same because the motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls. |
3. | will increase by a factor equal to \(\Big(\frac{v_{rms}^2+(500)^2}{v_{rms}^2}\Big)\)where \(v_{rms}^2\) was the original mean square velocity of the gas. |
4. | will be different on the top wall and bottom wall of the vessel. |
Which of the following diagrams (figure) depicts ideal gas behaviour?
1. (a), (c)
2. (a), (d)
3. (c), (d)
4. (a), (b)