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question_answer1) A perfect gas at \[27{}^\circ C\] is heated at constant pressure so as to double its volume. The temperature (in \[{}^\circ C\]) of the gas will be-
question_answer2) The absolute temperature of a gas is increased 3 times. The root mean square velocity of the molecule will become how many times.
question_answer3) A container of volume 30 litre is filled with an ideal gas at one atoms pressure and \[0{}^\circ C\]temperature. Keeping the temperature constant some mass of gas is allowed to escape from the container. Due to this the pressure of the gas decreases to 0.78 atoms from the previous one. If the density of the gas at N.T.P. is 1.3 gm/litre, find the mass (in gram) of the gas remaining.
question_answer4) At what temperature (in K) is r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at\[47{}^\circ C\].
question_answer5) A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per \[{{O}_{2}}\]molecule to that per \[{{N}_{2}}\]molecule is-
question_answer6) One mole of ideal monoatomic gas \[\left( \gamma =5/3 \right)\] is mixed with one mole of diatomic gas\[\left( \gamma =7/5 \right)\]. What is \[\gamma \] for the mixture? \[\gamma \]denotes the ratio of specific heat at constant pressure, to that at constant volume- (use \[\gamma =1+\frac{2}{f}\]where f is degree of freedom)
question_answer7) A partition divides a container having insulated walls into two compartments I and II. The same gas fills the two compartments (shown in figure). The ratio of the number of molecules in compartments I and II is-
question_answer8) We have a jar A filled with gas characterized by parameters P, V and T and another jar B filled with gas with parameters \[2P,\frac{V}{4}\]and 2T, where the symbols have their usual meanings. The ratio of the number of molecules of jar A to those of jar B is-
question_answer9) The density of an unknown gas at \[97{}^\circ C\]and 0.95 atmosphere is 2.5 gm/lit. Assuming the gas to be an ideal one, the molecular weight of this gas should be nearly (in g/mol)-
question_answer10) Hydrogen gas is filled in a vessel at \[20{}^\circ C\]at a certain pressure. Some gas is allowed to escape from the vessel and the temperature of the vessel is then raised to \[40{}^\circ C\] to obtain the same pressure. Then the fraction of the gas allowed to escape is-
question_answer11) A gas in a vessel is at a pressure of 10 atmosphere and temperature of\[27{}^\circ C\]. If \[\frac{1}{4}th\]of the amount of gas be released from the vessel and temperature of the remaining gas is increased to\[77{}^\circ C\], what is the pressure (in atm) of the gas?
question_answer12) Air is pumped into an automobile tyre?s tube upto a pressure of \[200\text{ }kPa\]in the morning when the air temperature is\[20{}^\circ C\]. During the day the temperature rises to \[40{}^\circ C\] and the tube expends by 2%. Calculate the pressure (in kPa) of the air in the tube at this temperature.
question_answer13) Figure shows a cylindrical tube with adiabatic walls and fitted with a diathermic separator. The separator can be slid in the tube by an external mechanism. An ideal gas is injected in the two sides at equal pressures and equal temperatures. The separator remains in equilibrium at the middle. If is now slid to a position where it divides the tube in the ratio of 1:3. Find the ratio of the pressure in the two parts of the vessel.
question_answer14) Figure shows a vessel partitioned by a fixed diathermic separator. Different ideal gases are filled in the two parts. The rms speed of the molecules in the left part equals the mean speed of the molecules in the right part. Calculate the ratio of the mass of a molecule in the left part to the mass of a molecule in the right part.
question_answer15) A uniform tube closed at one end contains a pallet of mercury 10 cm long. When the tube is kept vertically with the closed end upward, the length of the air column trapped is\[20\text{ }cm\]. Find the length (in cm) of the air column trapped when the tube in inverted so that the closed end goes down. Atmospheric pressure \[=75\] cm of mercury.
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