Home
Class 11
CHEMISTRY
The van der Waals' equation for one mole...

The van der Waals' equation for one mole may be expressed as
`V_(M)^(3)-(b+(RT)/(P))V_(m)^(2)+(aV_(m))/(P)-(ab)/(P)=0`
where `V_(m)` is the molar volume of the gas. Which of the followning is incorrect?

A

For a temperature less than `T_(C),V` has three real roots

B

For a temperature less than `T_(C),V` has three imaginary roots

C

For a temperature equal to `T_(C)` all three roots of V are real and identical

D

On increasing the temp. `(TltT_(C))`, the three roots become closer to one another

Text Solution

Verified by Experts

The correct Answer is:
b

(b) Below critical temperature a gas can be liquified.
So `V_(m)` has three real roots and identical.
Promotional Banner

Topper's Solved these Questions

  • GASEOUS STATE

    NARENDRA AWASTHI|Exercise Level 1 (Q.31 To Q.60)|1 Videos
  • GASEOUS STATE

    NARENDRA AWASTHI|Exercise Level 1 (Q.121 To Q.150)|1 Videos
  • ELECTROCHEMISTRY

    NARENDRA AWASTHI|Exercise Level 3 - Subjective Problems|1 Videos
  • IONIC EEQUILIBRIUM

    NARENDRA AWASTHI|Exercise Exercise|196 Videos

Similar Questions

Explore conceptually related problems

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. The dimensionsal representation of ab// RT is

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. Which of the following does not have the same dimensional formula as that for RT?

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. In the above problem , the dimensional formula for RT is same as that of

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. The dimensions of constant b are

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. The dimensions of a are

van der Waal's equation of state for real gases may be written as: PV_(m)=RT(1+(B)/(V_(m))+(C)/(V_(m)^(2))+....) Select the correct statement(s).

The van der Waals, equation for n moles of real gas is: (P+(n^(2)a)/(V^(2)))(V - nb) = nRT where P is the pressure, V is the volume , T is the absolute temperature, R is the molar gas constant and a, b are van der Waal's constant. Which of the following have the same dimension as those of PV ?