Home
Class 12
CHEMISTRY
van der Waals constant 'b' for a real ga...

van der Waals constant 'b' for a real gas is 0.02788 lit `"mole"^(-1)`. Calculate the radius of the molecule of the gas.

Text Solution

Verified by Experts

Volume of one molecule `= (4)/(3) pi r^(3)`
where r is the radius of the molecule.
`therefore` volume of 1 mole `= (4)/(3) pi r^(3) xx` Av. const.
(1 mole contains Av. const of molecules)
We have, `b = 4 xx (4)/(3) pi r^(3) xx` Av. const.
`b = 0.02788` lit/mole = 27.88 mL/mole (given).
`therefore 27.88 = 4 xx (4)/(3) xx (22)/(7) xx r^(3) xx 6.022 xx 10^(23)`
`therefore r = 1.4 xx 10^(-8) cm`.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF GASES

    RC MUKHERJEE|Exercise PROBLEMS |41 Videos

  • PROPERTIES OF GASES

    RC MUKHERJEE|Exercise OBJECTIVE PROBLEMS|5 Videos

  • PROBLEMS BASED ON EQUATIONS: STOICHIOMETRY

    RC MUKHERJEE|Exercise OBJECTIVE PROBLEMS|15 Videos

  • SOLID AND LIQUID STATES

    RC MUKHERJEE|Exercise OBJECTIVE PROBLEMS |51 Videos

Similar Questions

Explore conceptually related problems

The van der Waals' equation for a real gas is:

The van der Waals constant ‘b’ for oxygen is 0.0318 L mol^(-1) . Calculate the diameter of the oxygen molecule.

For oxygen gas, has van der Waals constant b is "0.318 L mol"^(-1). Calculate the diameter of oxygen molecule.

The critical constant of a gas are as follows : P_(c )=45.6" atm", V_(c )=0.0987" L " mol"^(-1) and T_(c )=190.6" K " . Calculate the van der Waals constants of the gas. Also calculate the radius of the gas molecule assuming it to be spherical.

The values of the van der Waals constants for a gas a = 4.10 dm^(6) "bar" mol^(-2) and b = 0.035 dm^(3) mol^(-1) . Calculate the values of the critical temperature and critical pressure for the gas.