Van der waals,equation of state is(p+a/v²)(V-b)=nRT. The dimensions of a and b

Van Der Waalsequation Of State Ispavvbnrtthe Dimensions Of A And Physics Question

Van der waals,equation of state is(p+a/v²)(V-b)=nRT. The dimensions of a and b are

Options

(a) [ML³T²],[ML³T⁰]
(b) [ML⁵T⁻²],[M⁰L³T⁰]
(c) [M²LT²],[ML³T²]
(d) [ML²T],[ML²T²]

Correct Answer:

[ML⁵T⁻²],[M⁰L³T⁰]

Explanation:

((p+a/v²)(V-b)) / nT =R

Since we have (p+a/v²), the term a/v² needs to have units of pressure for subtraction to proceed.

Therefore, aV² = pressure
a = pressure  x Volume²
=[ML⁻¹T⁻²] x (L³)²
=ML⁵T⁻²
In case of variable b, it should be same as volume as v-b should work.
b=(L³)

Related Questions:

  1. A particle of mass m moves with constant speed along a circular path of radius r under
  2. A body of mass 3 kg is under a constant force which cause a displacement
  3. If A.B=A x B,then the angle between A and B is
  4. The ratio of specific heats Cp/Cv=γ in terms of degrees of freedom (n) is given by
  5. Which one of the following statements is true, if half-life of a radioactive substance

Question Type: Memory (964)
Difficulty Level: Easy (1008)
Topics: Physical World and Measurement (103)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*