Kinetic Theory of an Ideal Gas

If volume occupied by ${\mathrm{CO}}_2$​ molecules is negligible, then what will be the pressure $\left(\frac{P}{5.277}\right)$ exerted by one mole of at $27°\mathrm{C}$ is $\left(\mathrm{a}=3.592 {\mathrm{L}}^2 {\mathrm{mol}}^{-2}\right)$.

Self volume of molecules is negligible in comparison to total volume of gas contained in a pot.

State the assumption regarding the volume of gas molecules to consider the gas as an ideal gas.

Rate of collision of molecules of a gas increases with the increase in the number of molecules of a gas filled in a container.

The average speed of molecules of a gas is $485 \mathrm{m}/\mathrm{s}$ at STP. The number of molecules per unit volume is $2.7\times {10}^{25} {\mathrm{m}}^{-3}$ and diameter of one molecule of the given gas is $2\times {10}^{-10} \mathrm{m}$. Calculate the rate of collision of molecules of the gas. Take $\pi =3.14$.

For gas to be ideal gas, it is assumed that the _____ of the molecules is negligibly small compared to the volume occupied by the gas.

For a gas to be “ideal”,the gas particles must have negligible volume. 

The root mean square speed of molecules of a given mass of a gas at $27°\mathrm{C}$ and $1$ atmosphere pressure is $200 {\mathrm{ms}}^{-1}.$ The root mean square speed of molecules of the gas at $127°\mathrm{C}$ and $2$ atmosphere pressure is $\frac{\mathrm{x}}{\sqrt{3}} {\mathrm{ms}}^{-1}.$ The value of $\mathrm{x}$ will be _________.

Assertion: Consider a system of gas having N molecules; Instantaneous K.E. of few molecules can be greater than average K.E. of the molecules of the given gas.

Reason: Number of molecules having most probable speed is greater than number of molecules having average speed.

At constant pressure, which of the following is true?

Let $\overline{v}$, v_rms and v_p respectively denote the mean speed, the root-mean-square speed, and the most probable speed of the molecules in an ideal monoatomic gas at absolute temperature T. The mass of a molecules is m -

Kinetic energy per unit volume is $E$. The pressure exerted by the gas is given by 

The rms speed of hydrogen is $\sqrt{7}$ times the rms speed of nitrogen. If $T$ is the temperature of the gas, then

The average kinetic energy of gas molecules does not depend upon temperature.

$10$ atmospheric pressure is _____ in Pascals.

An ideal gas is maintained at constant pressure. If the temperature of an ideal gas increases from $100 K to 10000 K$.What affect does it cause on the rms Speed?

Which of the following gases will have least rms speed at a given temperature?

Which of the following shows the correct relationship between the pressure 'P' and density $\rho$ of an ideal gas at constant temperature ?

Which of the following statement is wrong about Maxwell's distribution curve?

What happens when the gas becomes hotter?