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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
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Difficulty Level: Easy
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Topics: Physical World and Measurement
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Subject: Physics
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Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A galvanometer having resistance of 50 Ω requires a current of 100μA to give full
- Source S₁ is producing, 10¹⁵ photons per second of wavelength 5000Å
- Two resistors of 6Ω and 9Ω are connected in series to a 120 V source.
- A body of weight W newton is at the surface of the earth.
- A car moving with a velocity of 36 km/hr crosses a siren of frequency 500 Hz.
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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