List of top Physics Questions on Kinetic molecular theory of gases

Find the ratio of the root mean square speed of oxygen gas molecules to that of hydrogen gas molecules, if the temperature of both gases is the same.

At \(300 K\) the rms speed of oxygen molecules is \(\sqrt {\frac {\alpha+5}{\alpha}}\) times to that of its average speed in the gas. Then, the value of \(\alpha\) will be
(used \(\pi=\frac {22}{7}\))

The number of air molecules per cm³ increased from 3 × 10¹⁹ to 12 × 10¹⁹. The ratio of collision frequency of air molecules before and after the increase in the number respectively is :

The root mean square speed of molecules of nitrogen gas at 27°C is approximately : (Given mass of a nitrogen molecule = \(4.6 × 10^{–26}\) kg and take Boltzmann constant KB = \(1.4 × 10^{–23}\) JK–1 )

The mean free path of molecules of a certain gas at STP is 1500d, where d is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the molecules at 373K is approximately

What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

An ideal gas of density $\rho=02 \,kg \, m ^{-3}$ enters a chimney of height $h$ at the rate of $\alpha=08 \,kg \,s ^{-1}$ from its lower end, and escapes through the upper end as shown in the figure The cross-sectional area of the lower end is $A_1=01 \, m ^2$ and the upper end is $A_2=04 \, m ^2$ The pressure and the temperature of the gas at the lower end are $600 \,Pa$ and $300 \,K$, respectively, while its temperature at the upper end is $150 \,K$ The chimney is heat insulated so that the gas undergoes adiabatic expansion Take $g=10 \,ms ^{-2}$ and the ratio of specific heats of the gas $\gamma=2$ Ignore atmospheric pressure Which of the following statement(s) is(are) correct?

What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

In an adiabatic expansion of an ideal gas the product of pressure and volume

The number density of molecules of a gas depends on their distance r from the origin as, $n(r) = n_0e^{-\alpha r^4}$ Then the total number of molecules is proportional to :

The ratio of the specific heats $\frac{C_{P}}{C_{V}}=\gamma$ in terms of degrees of freedom (n) is given by

The ratio of the specific heats of a gas is $\frac{C_p}{C_v} = 1.66$, then the gas may be

The molecules of a given mass of a gas have r.m.s velocity of $200 \, ms^{-1}$ at $27^{\circ} C$ and $1.0 \times 10^5 \, Nm^{-2}$ pressure. When the temperature and pressure of the gas are respectively, $127^{\circ} C$ and $0.05 \times 10^5 \, Nm^{-2}$, the r.m.s. velocity of its molecules in $ms^{-1}$ is

The freezing point of a solution containing 0.2 g of acetic acid in 20.0 g benzene is lowered by 0.45 $^{\circ}$C. The degree of association of acetic acid in benzene is (Assume acetic acid dimerises in benzene and $K_f$ for benzene = $5.12\, K \,kg \,mol^{-1}$) $M_{observed}$ of acetic acid = 113.78

The ratio of the specific heats $\frac{C_P}{C_V} = \gamma$ in terms of degrees of freedom (n) is given by :

The mean free path of molecules of a gas, (radius 'r') is inversely proportional to :

The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from $T_1 K$ to $T_2 K$ is :

If a gas mixture contains 2 moles of $O_2$ and $4$ moles of $Ar$ at temperature $T$, then what will be the total energy of the system (neglecting all vibrational modes)

The time dependence of a physical quantity $P$ is given by $P=P_{0} e \alpha P\left(-\alpha t^{2}\right)$ where $\alpha $ is a constant and $t$ is time. The constant $\alpha $

The temperature of an ideal gas is increased from $27^{\circ} C$ to $127^{\circ} C$, then percentage increase in $v_{r m s}$ is

The reversible expansion ob an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statement(s) is (are) correct?

A balloon is filled at $27^{\circ}C$ and $1$ atm pressure by $50\, m^3\,He$. At -$3^{\circ}C$ and $0.5$ atm pressure, the volume of $He$ will be

The root mean square velocity of the molecules in a sample of helium is $ \frac{5}{7} $ th that of the molecules in a simple of hydrogen. If the temperature of hydrogen sample is $ 0^{\circ} C $ then that of helium sample is about

At what temperature is rms speed of air molecules double of that at NTP?