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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.
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)
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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
- A closely wound solenoid of 2000 turns and area of cross-section 1.5 x 10⁻⁴ m² carries
- A 1kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed
- A wheel of mass 10 kg has a moment of inertia of 10 kgm² about its own axis
- What is the energy of photon whose wavelength is 6840 Å?
- What are the unit of K = 1 / (4 π ?￢ﾂﾒ)
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
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