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

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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.

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

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