Calculate the ratio of the mean free paths of the molecules of two gases having molecular diameters `1 overset @(A)` and `2 overset @ (A)`. The gases may be considered under identical conditions of temperature, pressure and volume.

Which of the following law states that equal volumes of all gases under identical conditions of temperature and pressure contain equal number of molecules?

0btain the mean free path of nitrogen molecule at 0^@C and 1.0 atm pressure. The molecular diameter of nitrogen is 324 pm (assume that the gas is ideal).

Two solid spheres of radii R_(1) and R_(2) are made of the same material and have similar surfaces. These are raised to the same temperature and then allowed to cool under identical conditions. The ratio of their initial rates of loss of heat are

Three containes of the same volume contain three different gases. The masses of the molecules are m_(1), m_(2) and m_(3) and the number of molecules in their respective containers are N_(1), N_(2) and N_(3) . The gas pressure in the containers are P_(1), P_(2) and P_(3) respectively. All the gases are now mixed and put in one of the containers. The pressure P of mixture will be

If one of the two electrons of a H_2 molecule is removed, we get a hydrogen molecular ion H_2^+ . In the ground state of an H_2^+ , the two protons are separated by roughly 1.5 overset (@)(A) , and the electron is roughly 1 overset (@)(A) from each proton. Determine the potential energy of the system. Specify your choice of the zero of potential energy.

Root mean square velocities of the two gases at the same temperature are u_(1) and u_(2) . The molar masses are m_(1) and m_(2) respectively. Which of the following expression is CORRECT ?

Two gases A and B having the same temperature T, same pressure P and same volume V are mixed. If the mixture is at the same temperature and occupies a volume V. The pressure of the mixture is

At a temperature of 314 K and a pressure of 100 kPa, the speed of sound in a gas is 1380 ms^(-1) . The radius of each gas molecule is 0.5 overset @A . The frequency of sound at which the wavelength of sound wave in the gas becomes equal to the mean free path of the gas molecules is (Boltzman Constant =1.38 xx 10^(-23) JK^(-1)

The pressure-volume work for an ideal gas can be calculated by using the expression w W=overset(V_2)underset(V_1)intPexDV The work can also be calculated from, the PV plot by using the area under the curve within the specified limits. When an ideal gas is compressed (a) reversibly or (b) irreversibly from volume V_1 to V_2 Choose the correct option